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Heisenberg spin models and entalgement entropy measurments

Fotran version made with Maciej Bieniek

Research Project: Twistronics - research on new quantum simulators

compilation by ifort:

ifort math_func_module.f90 spin_systems_module.f90 tests_module.f90 main_spin_code.f90 -o heisenberg_main -qopenmp -qmkl=cluster -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -xHost -O3 -static-intel -heap-arrays -integer-size 64

Field: Magnetism and strongly correlated systems

This repository contains work done in the pending research project at Nicolaus Copernicus University (UMK) in Toruń.

List of topics:

  • 1D chain Heisenberg spin generator
  • Graphs of Heisenberg spins
  • Density matrix from Heisenberg spin chain
  • Reduced density matrix calculation from Heisenberg 1D spin chain
  • Calculation of entalgement entropy of the corresponding subsytems
  • Generation of Heisenberg Hamiltonian for CSR3 format for spare matrices
  • Diagonalization of spare matrices by different methods: Lanczos and FEAST
  • Using Sparse BLAS for permuting Hamiltonian

JJ 2022

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