Yuki Nagai

TightBinding.jl. This can construct the tight-binding model and calculate energies

QM. In Japanese. Juliaで学ぶ量子力学

FluxKAN.jl. An easy to use Flux implementation of the Kolmogorov Arnold Network. This is a Julia version of TorchKAN.

DLAP2020. Jupyter Notebook

DMFT_withJulia. DMFT with CTQMC. The Dynamical Mean Field Theory (DMFT) with the continuous-time auxiliary-field Quantum Monte Carlo method with Julia 1.0.0.

TightBinding. In Japanese. Juliaで学ぶタイトバインディング模型とトポロジカル物質

MC. In Japanese. Juliaで学ぶ古典モンテカルロシミュレーション

ChebyshevPolynomialBdG. This solves the Bogoliubov-de Gennes equations and gap equations in the s-wave superconductor with the use of the Chebyshev polynomial method. See, Y. Nagai, Y. Ota and M. Machida [arXiv:1105.4939 or DOI:10.1143/JPSJ.81.024710]

DFT. 実験家のための第一原理計算入門 (in Japanese)

QuadraticHamiltonians.jl. Julia

RSCG. This solves the Bogoliubov-de Gennes equations and gap equations in the s-wave superconductor with the use of the Reduced-Shifted Conjugate-Gradient Method method. See, Y. Nagai, Y. Shinohara, Y. Futamura, and T. Sakurai,[arXiv:1607.03992v2 or DOI:10.7566/JPSJ.86.014708]. http://dx.doi.org/10.7566/JPSJ.86.014708

ExactDiagonalization-in-the-Hubbard-model. This calculates the minimum eigenvalue in the Hubbard model with the use of the exact diagonalization method.

Julianotes. Julia language notes

VortexLattice. Chebyshev polynomial method for the Bogoliubov-de Gennes equations in the s-wave superconductor with a vortex lattice with Julia 1.0.0. See, Y. Nagai, Y. Ota and M. Machida, J. Phys. Soc. Jpn. 81, 024710 (2012).

ExactDiagonalization_with_Julia. Exact Diagonalization in the Hubbard model with Julia 1.0.3. We use the LOBPCG method to diagonalize the Hamiltonian. The particle number is fixed.

4sitesHubbard. 4サイトフェルミオンハバード模型を色々な手法で解く

JuliaFromFortran.

BdG_cpp. This solves the Bogoliubov-de Gennes equations and gap equations in the s-wave superconductor with the use of the Reduced-Shifted Conjugate-Gradient Method method. See, Y. Nagai, Y. Shinohara, Y. Futamura, and T. Sakurai,[arXiv:1607.03992v2 or DOI:10.7566/JPSJ.86.014708]. http://dx.doi.org/10.7566/JPSJ.86.014708

SSwithJulia. Sakurai-Sugiura method to obtain the eigenvalues located in a given domain with Julia 1.0.0. See, T. Sakurai and H. Sugiura: J. Comput. Appl. Math. 159 (2003) 119. and "Numerical Construction of a Low-Energy Effective Hamiltonian in a Self-Consistent Bogoliubov–de Gennes Approach of Superconductivity", Yuki Nagai et al., J. Phys. Soc. Jpn. 82, 094701 (2013) or arXiv:1303.3683

TDGL.jl. Time-dependent Ginzburg-Landau simulations

ctaux_Julia. Continuous-time auxiliary-field quantum Monte Carlo method. See, E. Gull et al., EPL 82, 57003 (2008)

PIMD_with_QE_aenet_Docker. Dockerfile

BPNET. Fast Behler-Parrinello type neural networks in Fortran2008

fortran_csr. CSR format in Fortran

HPhiJulia.jl. Julia wrapper for the HPhi

PreallocatedArrays.jl. Julia package for preallocated arrays

BPNET.jl. Julia

RSCG_Julia. This solves the Bogoliubov-de Gennes equations and gap equations in the s-wave superconductor with the use of the Reduced-Shifted Conjugate-Gradient Method method. See, Y. Nagai, Y. Shinohara, Y. Futamura, and T. Sakurai,[arXiv:1607.03992v2 or DOI:10.7566/JPSJ.86.014708]. http://dx.doi.org/10.7566/JPSJ.86.014708

OpenMX_Docker. Dockerfile

LKvector_sample. This is sample Julia code set with LkBdG method proposed by the paper https://journals.jps.jp/doi/10.7566/JPSJ.89.074703

FindingTypeAny.jl. Julia

LatticeMatrices.jl. High-performance matrix fields on arbitrary D-dimensional lattices in Julia.

MPIDistributedArrays.jl. DistributedArrays with MPI

YukiNagai. Web site