finite-size Spin Models: Projected entangled pair state

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Models

• spin-$\frac{1}{2}$ square lattice $J_1-J_2$ Heisenberg model
• spin-$\frac{1}{2}$ triangle lattice $J_1-J_2$ Heisenberg model

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Dependence

• C++ Compiler: C++17 or above
• Build System: CMake (version 3.12 or higher)
• Math Libraries: Intel MKL or OpenBLAS
• Parallelization: MPI
• Tensor: QuantumLiquids/TensorToolkit
• DMRG: QuantumLiquids/UltraDMRG
• PEPS: QuantumLiquids/PEPS

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Build Instructions

To compile the project using CMake, follow these steps:

1. Clone the repository:

   git clone https://github.com/QuantumLiquids/HeisenbergVMCPEPS.git
   cd HeisenbergVMCPEPS

2. Build using CMake:

   mkdir build && cd build
   cmake .. -DCMAKE_CXX_COMPILER=your_cxx_compiler \
            -DCMAKE_PREFIX_PATH=hint_to_find_tensortoolkit_ultradmrg_and_peps \
            -DU1SYM=1_if_want_use_tensor_u1_sym
   
   make -j4 

BLAS/LAPACK Setting:

• On x86 platforms, CMakeList.txt will automatically use oneAPI single-threaded MKL as the BLAS implementation.
• On ARM platforms, it will default to OpenBLAS.
• If you want to link against a different implementation, such as an older version of MKL, sequential MKL, or AOCL, you will need to manually set the following CMake options:
  • BLA_VENDOR: CMake Manual
  • BLAS_INCLUDE_DIR: Set the header paths for the chosen BLAS/LAPACK implementation.

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Author

For inquiries, questions, or collaboration opportunities, please contact Hao-Xin via email: wanghaoxin1996@gmail.com.

Acknowledgments