# 🌀 spintronics
A pure Rust library for simulating spin dynamics, spin current generation, and conversion phenomena in magnetic and topological materials.
**Inspired by the pioneering work of Prof. Eiji Saitoh's Group (University of Tokyo / RIKEN CEMS)**
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## 🚀 Overview
`spintronics` is a comprehensive Rust crate for simulating spintronics and quantum materials phenomena. Built on the `scirs2` scientific computing ecosystem, it leverages Rust's type safety and zero-cost abstractions to deliver fast, safe, and physically correct simulations of:
- **Spin Pumping & Transport**: Generation and propagation of spin currents
- **Spin-Charge Conversion**: Inverse Spin Hall Effect (ISHE), Spin Seebeck Effect (SSE)
- **Magnetization Dynamics**: Landau-Lifshitz-Gilbert (LLG) equation solvers
- **Topological Phenomena**: Skyrmions, domain walls, topological charges
- **Nanomechanical Coupling**: Barnett effect, Einstein-de Haas effect
- **Physical Reservoir Computing**: Magnon-based neuromorphic computing
- **Cavity Magnonics**: Magnon-photon hybrid systems
*"Python loops are too slow, but C++ memory management is exhausting"* - This library is designed for researchers and students who want the performance of compiled code with the safety of Rust.
## 📊 Development Status
**Current Version**: 0.2.0 ✅ **PRODUCTION READY**
**Latest Release**: December 2025
### Version 0.2.0 Highlights
- ✅ **Interactive Web Demo**: HTMX + Axum demonstration subcrate with 4 physics simulations
- ✅ **Python Bindings (PyO3)**: Use from Python with native performance
- ✅ **HDF5 Export**: Large-scale data storage for simulation results
- ✅ **Memory Pool Allocator**: 99% allocation reduction in hot paths
- ✅ **Serde Serialization**: JSON/binary data interchange
- ✅ **Unit Validation**: Runtime checks for physical quantity sanity
- ✅ **Performance**: 21 inline attributes on hot-path functions
- ✅ **17 Examples**: Organized by difficulty (Basic/Intermediate/Advanced)
- ✅ **448 Tests Passing**: 431 library (381 unit + 50 doc) + 17 demo, zero warnings
### Core Capabilities
- ✅ **18 Implemented Modules**: Comprehensive physics coverage from fundamentals to advanced phenomena
- ✅ **60+ Source Files**: Well-organized, modular codebase
- ✅ **5 Experimental Validations**: Against landmark papers (Saitoh 2006, Woo 2016, etc.)
- ✅ **Interactive Web Demo**: Modern HTMX + Axum subcrate for online demonstrations
- ✅ **WebAssembly Support**: Browser-based simulations ready
- ✅ **Multi-platform CI/CD**: Ubuntu, macOS, Windows tested
- ✅ **Production Quality**: Zero warnings, 448 tests passing
## ✨ Key Features
### Performance & Safety
- ⚡ **High Performance**: Optimized numerical kernels in pure Rust with SIMD support
- 🛡️ **Type Safety**: Rust's ownership system prevents spin/angular momentum "disappearance" at compile time
- 🔒 **Memory Safe**: No segfaults, no data races, no undefined behavior
- 🎯 **Zero-Cost Abstractions**: Physical abstractions compile down to efficient machine code
### Scientific Computing
- 📚 **Physics-Aligned Architecture**: Code structure directly maps to Hamiltonians and transport equations
- 🧮 **Validated Models**: Implementations based on peer-reviewed experimental papers
- 📊 **Reproducible Results**: Deterministic simulations with controlled random seeds
- 🔬 **Experimental Validation**: Examples reproduce published experimental results
### Developer Experience
- 📖 **Well Documented**: Comprehensive doc comments with LaTeX equations
- 🧪 **Thoroughly Tested**: Unit tests for physical correctness
- 🔧 **Minimal Dependencies**: Fast compilation, easy integration
- 🌐 **Ecosystem Integration**: Part of the `scirs2` scientific computing suite
- 🐍 **Python Integration**: PyO3 bindings for seamless Python interop
- 💾 **Data Export**: HDF5, JSON, CSV, VTK formats supported
- ✅ **Unit Validation**: 14 validators for physical quantity sanity checks
## 📚 Key References
- E. Saitoh et al., "Conversion of spin current into charge current at room temperature: Inverse spin-Hall effect", *Appl. Phys. Lett.* **88**, 182509 (2006)
- K. Uchida et al., "Observation of the spin Seebeck effect", *Nature* **455**, 778-781 (2008)
## 📦 Implemented Modules
The library is organized into 18 physics-focused modules:
| **constants** | Physical Constants | ℏ, γ, e, μ_B, k_B, 20+ NIST-validated constants |
| **vector3** | 3D Vector Math | Optimized for spin/magnetization operations |
| **material** | Material Properties | Ferromagnets (YIG, Py), interfaces, 2D materials, topological |
| **dynamics** | Magnetization Dynamics | LLG solver with RK4, Heun, adaptive methods |
| **transport** | Spin Transport | Spin pumping (Saitoh 2006), diffusion equations |
| **effect** | Spin-Charge Conversion | ISHE, SSE, SOT, Rashba, topological Hall |
| **magnon** | Magnon Propagation | Spin wave dynamics, spin chains, magnon detection |
| **thermo** | Thermoelectric Effects | Anomalous Nernst, thermal magnons, multilayers |
| **texture** | Magnetic Textures | Skyrmions, domain walls, DMI, topological charge |
| **circuit** | Spin Circuit Theory | Resistor networks, spin accumulation |
| **fluid** | Spin-Vorticity Coupling | Barnett effect in liquid metals |
| **mech** | Nanomechanical Spintronics | Barnett, Einstein-de Haas, cantilever coupling |
| **ai** | Physical Reservoir Computing | Magnon dynamics for neuromorphic computing |
| **afm** | Antiferromagnetic Dynamics | THz spintronics (NiO, MnF₂, etc.) |
| **stochastic** | Thermal Fluctuations | Finite-temperature effects, Langevin dynamics |
| **cavity** | Cavity Magnonics | Magnon-photon hybrid quantum systems |
| **memory** | Memory Management | Pool allocators, workspace buffers (v0.2.0) |
| **units** | Unit Validation | 14 validators for physical quantities (v0.2.0) |
| **visualization** | Data Export | HDF5, JSON, CSV, VTK formats (v0.2.0) |
| **python** | Python Bindings | PyO3 integration for Python users (v0.2.0) |
### Module Architecture
```
spintronics/
├── lib.rs # Main library entry point
├── prelude.rs # Convenient imports
├── constants.rs # Physical constants (ℏ, γ, e, μ_B, k_B)
├── vector3.rs # 3D vector operations
├── material/ # Material properties & parameters
│ ├── mod.rs
│ ├── ferromagnet.rs # YIG, Py, Fe, Co, Ni
│ └── interface.rs # Spin interfaces (YIG/Pt, etc.)
├── dynamics/ # Time evolution & solvers
│ ├── mod.rs
│ └── llg.rs # LLG equation solver
├── transport/ # Spin current transport
│ ├── mod.rs
│ ├── pumping.rs # Spin pumping mechanism
│ └── diffusion.rs # Spin diffusion equations
├── effect/ # Spin-charge conversion effects
│ ├── mod.rs
│ ├── ishe.rs # Inverse Spin Hall Effect
│ └── sse.rs # Spin Seebeck Effect
├── magnon/ # Magnon physics
│ ├── mod.rs
│ ├── solver.rs # Magnon propagation solver
│ └── chain.rs # Spin chain dynamics
├── thermo/ # Thermoelectric phenomena
│ ├── mod.rs
│ ├── ane.rs # Anomalous Nernst Effect
│ ├── magnon.rs # Thermal magnon transport
│ └── peltier.rs # Spin Peltier effect
├── texture/ # Magnetic texture & topology
│ ├── mod.rs
│ ├── skyrmion.rs # Skyrmion dynamics
│ ├── domain_wall.rs # Domain wall motion
│ └── topology.rs # Topological charge calculation
├── circuit/ # Spin circuit elements
│ ├── mod.rs
│ ├── resistor.rs # Spin resistors
│ ├── network.rs # Circuit networks
│ └── accumulation.rs # Spin accumulation
├── fluid/ # Fluid spintronics
│ ├── mod.rs
│ └── barnett.rs # Barnett effect in fluids
├── mech/ # Nanomechanical coupling
│ ├── mod.rs
│ ├── barnett_effect.rs # Mechanical rotation ↔ magnetization
│ ├── einstein_de_haas.rs # Angular momentum transfer
│ ├── cantilever.rs # Cantilever resonator
│ └── coupled_dynamics.rs # Coupled magneto-mechanical systems
├── ai/ # Physical reservoir computing
│ ├── mod.rs
│ └── reservoir.rs # Magnon-based computing
├── afm/ # Antiferromagnetic spintronics
│ ├── mod.rs
│ └── antiferromagnet.rs # AFM dynamics
├── stochastic/ # Stochastic processes
│ ├── mod.rs
│ └── thermal.rs # Thermal fluctuations
└── cavity/ # Cavity magnonics
├── mod.rs
└── hybrid.rs # Magnon-photon coupling
```
## Quick Start
```rust
use spintronics::prelude::*;
// Setup materials (YIG/Pt system)
let yig = Ferromagnet::yig();
let interface = SpinInterface::yig_pt();
let pt_strip = InverseSpinHall::platinum();
// Initialize magnetization state
let m = Vector3::new(1.0, 0.0, 0.0);
let h_ext = Vector3::new(0.0, 0.0, 1.0);
// Solve LLG equation
let dm_dt = calc_dm_dt(m, h_ext, GAMMA, yig.alpha);
// Calculate spin pumping current
let js = spin_pumping_current(&interface, m, dm_dt);
// Convert to electric field via ISHE
let e_field = pt_strip.convert(interface.normal, js);
```
## 🎯 Installation
Add this to your `Cargo.toml`:
```toml
[dependencies]
spintronics = "0.2.0"
```
### Optional Features
```toml
[dependencies]
spintronics = { version = "0.2.0", features = ["python", "hdf5", "serde"] }
```
Available features:
- `python` - Python bindings via PyO3
- `hdf5` - HDF5 file export support
- `serde` - JSON/binary serialization
- `fem` - Finite element method solver
- `wasm` - WebAssembly support
```
Or install directly from the repository:
```bash
git clone https://github.com/cool-japan/spintronics.git
cd spintronics
cargo build --release
```
## 💡 Examples
The library includes **17 comprehensive examples** organized by difficulty level. See [`examples/README.md`](examples/README.md) for the complete guide with learning paths.
### 📚 Quick Start Examples (Beginner)
### 1. YIG/Pt Spin Pumping + ISHE
```bash
cargo run --release --example yig_pt_pumping
```
Reproduces the landmark Saitoh et al. (2006) experiment:
- Ferromagnetic resonance in YIG
- Spin current generation via spin pumping
- Voltage detection via inverse spin Hall effect in Pt
### 🔬 Intermediate Examples
- **Skyrmion Dynamics** - Topological spin textures and current-driven motion
- **Spin Torque Oscillators** - Auto-oscillations and phase locking
- **2D Materials** - Van der Waals heterostructures (CrI₃, Fe₃GeTe₂)
### 🚀 Advanced Examples
- **FEM Micromagnetics** - Finite element simulations with realistic geometries
- **Parallel Magnon Dynamics** - Multi-threaded large-scale simulations
- **Thermal Magnon Transport** - Spin Seebeck effect and thermal gradients
- **Topological Insulators** - Surface states and Edelstein effect
- **Reservoir Computing** - Neuromorphic computing with magnons
**See [`examples/README.md`](examples/README.md) for:**
- Detailed descriptions of all 17 examples
- Learning paths for different backgrounds
- Difficulty ratings and prerequisites
- Feature requirements and build commands
- Physical implementation of reservoir computing
### Running All Examples
```bash
# Run all examples in sequence
for example in yig_pt_pumping magnon_propagation advanced_spintronics \
mech_coupling fluid_barnett reservoir_computing; do
cargo run --release --example $example
done
```
## 🌐 Interactive Web Demo
**NEW in v0.2.0!** Try the interactive web demonstrations:
```bash
cd demo
cargo run --release
# Open http://localhost:3000 in your browser
```
### Available Demonstrations
1. **LLG Magnetization Dynamics** (`/llg`)
- Real-time LLG solver with trajectory visualization
- Interactive parameter controls (damping, field, initial state)
- RK4 integration with configurable time steps
2. **Spin Pumping Calculator** (`/spin-pumping`)
- Reproduces Saitoh 2006 APL experiment
- Material selection (YIG, Permalloy, CoFeB)
- Frequency and RF field parameter sweep
3. **Materials Explorer** (`/materials`)
- Compare magnetic properties across ferromagnets
- Saturation magnetization, damping, exchange stiffness
- Database of common spintronics materials
4. **Skyrmion Visualizer** (`/skyrmion`)
- Real-time magnetization field rendering
- Helicity (Néel/Bloch) and chirality controls
- Topological charge calculation
**Tech Stack**: Axum + HTMX + Askama (Server-side rendering, no JavaScript frameworks)
See [`demo/README.md`](demo/README.md) and [`demo/TESTING.md`](demo/TESTING.md) for full documentation and automated testing guide.
## 🧪 Testing
Run the full test suite:
```bash
cargo test --all
```
Run tests with output:
```bash
cargo test -- --nocapture
```
Run tests for a specific module:
```bash
cargo test dynamics::
cargo test transport::
```
Test the demo subcrate:
```bash
cd demo
./test_server.sh # Automated endpoint testing
cargo test # Unit tests
```
### Test Coverage
**Total: 448 tests passing** (431 library + 17 demo)
- ✅ **381 Unit Tests**: Core physics calculations
- ✅ **50 Doc Tests**: Documentation examples
- ✅ **17 Demo Tests**: Web endpoints and physics validation
All modules include comprehensive tests covering:
- ✅ **Physical Correctness**: Conservation laws, symmetries, gauge invariance
- ✅ **Edge Cases**: Zero fields, parallel/antiparallel configurations, boundary conditions
- ✅ **Material Properties**: Validated against literature values
- ✅ **Numerical Stability**: Convergence tests, stability analysis
- ✅ **Integration Tests**: Multi-module physics workflows
## ⚡ Performance
Rust's zero-cost abstractions and compile-time optimizations deliver significant performance improvements over interpreted languages:
### Benchmark Results (Preliminary)
| LLG Solver (N=1000 steps) | 450 ms | 8.5 ms | **52x** |
| Skyrmion Number Calculation | 120 ms | 1.2 ms | **100x** |
| Spin Chain Evolution | 890 ms | 15 ms | **59x** |
| Thermal Noise Generation | 340 ms | 6.8 ms | **50x** |
*Note: Benchmarks performed on Intel Core i7 @ 3.5GHz. Detailed benchmark suite in development.*
### Performance Features
- 🚀 **SIMD Vectorization**: Automatic vectorization of array operations
- 🔄 **Memory Efficiency**: Stack allocation and optimal cache usage
- ⚙️ **Compile-Time Optimization**: Link-time optimization (LTO) enabled
- 🎯 **Zero-Copy Operations**: Efficient data handling without unnecessary allocations
- 🧵 **Future Parallelization**: Architecture ready for multi-threading
## 🔧 Technical Stack
### Dependencies
Minimal dependency footprint for fast compilation and easy integration:
```toml
[dependencies]
scirs2-core = { version = "0.1.0-rc.4", features = ["random"] }
```
**scirs2-core** provides:
- Random number generation (RNG)
- Statistical distributions (Normal, Uniform, etc.)
- Physical computing utilities
- Compatible with the broader `scirs2` scientific computing ecosystem
### System Requirements
- **Rust**: 1.70+ (2021 edition)
- **OS**: Linux, macOS, Windows
- **Architecture**: x86_64, ARM64 (Apple Silicon supported)
## 🤝 Contributing
We welcome contributions from physicists and developers! Whether you're experienced with Rust or just getting started, there are many ways to contribute.
### Getting Started
1. **Fork and Clone**
```bash
git clone https://github.com/cool-japan/spintronics.git
cd spintronics
```
2. **Build and Test**
```bash
cargo build --release
cargo test
```
3. **Run Examples**
```bash
cargo run --release --example yig_pt_pumping
```
### Good First Issues 🔰
Perfect for newcomers to the project:
1. **Add Material Parameters**
- Add CoFeB, Permalloy, or other magnetic materials to `src/material/ferromagnet.rs`
- Include references to experimental papers
2. **Improve Documentation**
- Add LaTeX equations to doc comments
- Write examples demonstrating specific physics concepts
- Improve README with additional use cases
3. **Implement New Physics**
- Edelstein effect (spin-charge conversion in non-centrosymmetric systems)
- Spin Nernst effect (thermal gradient → transverse spin current)
- Topological Hall effect (skyrmion-induced Hall voltage)
4. **Write Tests**
- Physics validation tests comparing to experiments
- Edge case tests for numerical stability
- Integration tests for multi-module workflows
5. **Create Examples**
- Reproduce experimental results from literature
- Educational examples for teaching spintronics
- Benchmark comparisons with other tools
### Contribution Guidelines
- **Physics First**: Validate against physical intuition and experiments
- **Document Equations**: Include LaTeX equations and paper references in doc comments
- **Type Safety**: Use Rust's type system to prevent unphysical states
- **Test Thoroughly**: Add tests for both correctness and edge cases
- **Follow Style**: Run `cargo fmt` and fix `cargo clippy` warnings
- **Write Clear Commits**: Explain the physics and implementation
### Code Style
```bash
# Format code
cargo fmt
# Check for common issues
cargo clippy
# Run all checks
cargo fmt && cargo clippy && cargo test
```
## 🌐 WebAssembly Support
Run spintronics simulations in your browser! The library compiles to WebAssembly for interactive browser-based physics simulations.
### Building for WASM
```bash
# Install wasm-pack (one-time setup)
cargo install wasm-pack
# Build the WASM package
wasm-pack build --features wasm --target web
# Or use the convenience script
./build-wasm.sh
```
### Running the Demo
```bash
cd wasm-demo
python3 -m http.server 8080
# Open http://localhost:8080 in your browser
```
### Features
- **Real-time LLG Solver**: Watch magnetization precess in response to applied fields
- **Spin Chain Simulation**: Observe magnon propagation through coupled spins
- **Spin Hall Calculator**: Compute spin currents from charge currents
- **Interactive Controls**: Adjust fields, damping, and material parameters in real-time
- **3D Visualization**: Canvas-based rendering with x-y projection and z-component indicator
### JavaScript Usage
```javascript
import init, { SpinSimulator } from './pkg/spintronics.js';
async function run() {
await init();
// Create a single-spin simulator
const sim = new SpinSimulator();
sim.set_field(1000, 0, 10000); // Hx, Hy, Hz in A/m
// Run simulation
for (let i = 0; i < 1000; i++) {
sim.step(0.01); // 0.01 ns time step
console.log(`mx=${sim.get_mx()}, my=${sim.get_my()}, mz=${sim.get_mz()}`);
}
}
```
See `wasm-demo/` directory for complete interactive examples.
## 🛣️ Roadmap
### Version 0.1.0 ✅ **100% COMPLETE!** 🎉
**Core Physics Effects** ✅ **COMPLETE**
- ✅ Spin-Orbit Torque (SOT): Field-like and damping-like components
- ✅ Dzyaloshinskii-Moriya Interaction (DMI): Interface and bulk contributions
- ✅ Edelstein Effect: Spin-charge conversion in non-centrosymmetric systems
- ✅ Spin Nernst Effect: Thermal gradient → transverse spin current
- ✅ Topological Hall Effect: Skyrmion-induced Hall voltage
- ✅ Rashba Effect: 2D electron gas spin splitting
**Advanced Solvers** ✅ **COMPLETE**
- ✅ RK4 (4th-order Runge-Kutta) for LLG solver
- ✅ Adaptive time-stepping for magnetization dynamics
- ✅ Heun's method for stochastic LLG
- ✅ Implicit methods for stiff equations
- ✅ SIMD-optimized spin chain solver
- ✅ Parallel multi-domain solver
**Advanced Materials** ✅ **COMPLETE**
- ✅ Topological insulators (Bi₂Se₃, Bi₂Te₃, Bi₂Te₄)
- ✅ Weyl semimetals implementation
- ✅ 2D magnetic materials (CrI₃, Fe₃GeTe₂, MnBi₂Te₄)
- ✅ Magnetic multilayers (SAF structures, synthetic antiferromagnets)
- ✅ Chiral magnets (MnSi, FeGe) via DMI module
- ✅ Temperature-dependent material properties
**Finite Element Method (FEM)** ✅ **COMPLETE**
- ✅ Delaunay triangulation for 2D/3D mesh generation
- ✅ Linear triangular and tetrahedral elements
- ✅ Sparse matrix assembly (stiffness, mass matrices)
- ✅ **Parallel matrix assembly** (multi-threaded, 2-8x speedup)
- ✅ **Advanced iterative solvers**: CG, BiCGSTAB, SOR, Jacobi
- ✅ **Preconditioners**: Jacobi (diagonal) and SSOR for 3-10x faster convergence
- ✅ **Dynamic LLG time-stepping** for magnetization dynamics
- ✅ Effective field calculation from energy functionals
- ✅ Exchange, anisotropy, demagnetization, and Zeeman energies
- ✅ Semi-implicit time integration with automatic normalization
- ✅ Full micromagnetic FEM solver with 18 validation tests
**Visualization & I/O** ✅ **COMPLETE**
- ✅ VTK export for ParaView/Mayavi visualization
- ✅ CSV export for data analysis
- ✅ JSON export for structured data
- ✅ OOMMF format compatibility (OVF import/export)
**Material Database** ✅ **COMPLETE**
- ✅ CoFeB, Permalloy (Ni₈₀Fe₂₀), CoFe alloy families
- ✅ Common antiferromagnets (NiO, MnF₂, FeF₂, etc.)
- ✅ Builder pattern for custom material creation
- ✅ Topological insulator material database
- ✅ Complete ferromagnet database (YIG, Py, Fe, Co, Ni, CoFeB)
**Examples & Validation** ✅ **COMPLETE**
- ✅ Saitoh 2006 APL experiment reproduction (quantitative)
- ✅ Skyrmion creation and annihilation dynamics
- ✅ Magnonic crystal band structure calculator
- ✅ Spin-torque nano-oscillator (STNO) simulation
- ✅ Thermal magnon transport
- ✅ Topological insulator surface states
- ✅ 2D material spintronics
- ✅ **Comprehensive FEM micromagnetics example**
**Documentation & Testing** ✅ **COMPLETE**
- ✅ **431 tests passing** (381 unit + 50 doc tests)
- ✅ **50 comprehensive doc tests** with LaTeX equations and runnable examples
- ✅ **5 experimental validation tests** against landmark papers
- ✅ Zero clippy warnings
- ✅ Zero compilation warnings
- ✅ Error handling with Result<T, E> throughout
- ✅ Debug assertions for physical validity
- ✅ **Memory optimizations**: Preallocated workspace buffers (99% allocation reduction)
**WebAssembly Support** ✅ **COMPLETE**
- ✅ JavaScript bindings via wasm-bindgen
- ✅ Single-spin magnetization dynamics simulator
- ✅ Spin chain magnon propagation
- ✅ Spin Hall effect calculator
- ✅ Interactive web demo with real-time visualization
- ✅ Build script and documentation
### Version 0.2.0+ (Future Enhancements)
**Performance Optimization**
- [ ] GPU acceleration (CUDA/ROCm)
- [ ] Advanced SIMD optimization
- [ ] Multi-threading for large-scale systems
- [ ] Profile-guided optimization (PGO)
- [ ] MPI support for distributed computing
**Integration & Interoperability**
- [ ] Python bindings (PyO3)
- [ ] Julia bindings
- [ ] HDF5/NetCDF export
- [ ] Advanced visualization (ParaView, Mayavi)
**Research-Grade Features**
- [ ] Automatic differentiation for optimization
- [ ] Machine learning-assisted parameter fitting
- [ ] Quantum effects (magnon quantization)
- [ ] Non-equilibrium Green's function (NEGF) transport
- [ ] Frustrated magnets and spin ice
- [ ] Integration with experimental control systems
## 📖 Documentation
### API Documentation
Generate and view the full API documentation:
```bash
cargo doc --open
```
### Learning Resources
- **For Physicists New to Rust**: See [Rust for Scientists](https://www.rustforphysicists.com) (community resource)
- **For Rust Developers New to Spintronics**: Check the examples and inline documentation
- **Tutorial Series**: Coming soon - comprehensive tutorial on spintronics simulations in Rust
## 📄 Citation
If you use this library in your research, please cite:
```bibtex
@software{spintronics_rust,
title = {spintronics: A Pure Rust Library for Spintronics Simulations},
author = {{COOLJAPAN OÜ (Team KitaSan)}},
year = {2025},
url = {https://github.com/cool-japan/spintronics},
note = {Inspired by the research of Prof. Eiji Saitoh's group}
}
```
And please cite the relevant physics papers:
**For Spin Pumping and ISHE:**
```bibtex
@article{saitoh2006ishe,
title = {Conversion of spin current into charge current at room temperature: Inverse spin-Hall effect},
author = {Saitoh, E. and Ueda, M. and Miyajima, H. and Tatara, G.},
journal = {Applied Physics Letters},
volume = {88},
pages = {182509},
year = {2006}
}
```
**For Spin Seebeck Effect:**
```bibtex
@article{uchida2008sse,
title = {Observation of the spin Seebeck effect},
author = {Uchida, K. and Takahashi, S. and Harii, K. and Ieda, J. and Koshibae, W. and Ando, K. and Maekawa, S. and Saitoh, E.},
journal = {Nature},
volume = {455},
pages = {778--781},
year = {2008}
}
```
## 🔗 Related Projects
- **[SciRS2](https://github.com/cool-japan/scirs)**: Scientific computing ecosystem for Rust
- **[OOMMF](https://math.nist.gov/oommf/)**: Micromagnetic simulation framework (C++)
- **[mumax³](https://mumax.github.io/)**: GPU-accelerated micromagnetic simulator (Go)
- **[Spirit](https://github.com/spirit-code/spirit)**: Atomistic spin simulation framework (C++)
- **[Vampire](https://vampire.york.ac.uk/)**: Atomistic spin dynamics software (C++)
## 🙏 Acknowledgments
This library is inspired by and based on the groundbreaking research of:
- **Prof. Eiji Saitoh** (University of Tokyo / RIKEN CEMS) - Pioneering work on spin current physics, inverse spin Hall effect, and spin Seebeck effect
- **The Saitoh Group** - Continued innovation in spintronics and spin caloritronics
- **The Spintronics Research Community** - Decades of theoretical and experimental advances
Special thanks to all researchers who have contributed to the understanding of spin current phenomena and made their work accessible through high-quality publications.
## 📜 License
Copyright (c) 2025 COOLJAPAN OÜ (Team KitaSan)
This project is dual-licensed under:
- **MIT License** ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
- **Apache License 2.0** ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
You may choose either license for your use.
### Academic Use
This software is freely available for academic research, education, and teaching purposes. We encourage:
- Using it in research projects and publications
- Teaching spintronics with hands-on simulations
- Building upon it for new research directions
- Contributing improvements back to the community
---
## 📬 Contact & Community
- **Issues**: [GitHub Issues](https://github.com/cool-japan/spintronics/issues)
- **Discussions**: [GitHub Discussions](https://github.com/cool-japan/spintronics/discussions)
- **Maintainer**: COOLJAPAN OÜ (Team KitaSan)
## ⭐ Support the Project
If you find this library useful, please:
- ⭐ Star the repository on GitHub
- 📢 Share it with colleagues and students
- 📝 Cite it in your publications
- 🤝 Contribute code, examples, or documentation
- 💬 Provide feedback and suggestions
---
<div align="center">
**Built with 🦀 Rust | For 🔬 Physics | Inspired by 🌀 Saitoh Group**
*Making spintronics simulations fast, safe, and accessible*
</div>