Chebyshev pseudosite matrix product state approach for cluster perturbation theory
- URL: http://arxiv.org/abs/2404.05686v2
- Date: Fri, 26 Apr 2024 14:42:15 GMT
- Title: Chebyshev pseudosite matrix product state approach for cluster perturbation theory
- Authors: Pei-Yuan Zhao, Ke Ding, Shuo Yang,
- Abstract summary: We introduce the Chebyshev pseudosite matrix product state approach (ChePSMPS) as a solver for cluster theory (CPT)
ChePSMPS distinguishes itself from conventional exact diagonalization solvers by supporting larger clusters.
We use this method to simulate the spectra for both one- and two-dimensional Hubbard-Holstein models.
- Score: 7.629286500184708
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce the Chebyshev pseudosite matrix product state approach (ChePSMPS) as a solver for cluster perturbation theory (CPT), crucial for simulating spectral functions in two-dimensional electron-phonon ($e$-ph) coupling systems. ChePSMPS distinguishes itself from conventional exact diagonalization solvers by supporting larger clusters, thereby significantly mitigating finite-size effects. Free from the fermion sign problem, ChePSMPS enhances its ability to explore $e$-ph effects and generate high-resolution spectral functions in doped Mott insulators. We use this method to simulate the spectra for both one- and two-dimensional Hubbard-Holstein models, highlighting its superiority over other methods. Our findings validate ChePSMPS as a powerful and reliable Green's function solver. In conjunction with embedding methods, ChePSMPS emerges as an essential tool for simulating strongly correlated $e$-ph coupling systems.
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