Publication Date

July 2019

Document Type

Article

Publication Title

Physical Review E

Volume

100

Issue

1

DOI

10.1103/PhysRevE.100.013305

Abstract

Numerical linked-cluster expansions allow one to calculate finite-temperature properties of quantum lattice models directly in the thermodynamic limit through exact solutions of small clusters. However, full diagonalization is often the limiting factor for these calculations. Here we show that a partial diagonalization of the largest clusters in the expansion using the Lanczos algorithm can be as useful as full diagonalization for the method while mitigating some of the time and memory issues. As test cases, we consider the frustrated Heisenberg model on the checkerboard lattice and the Fermi-Hubbard model on the square lattice. We find that our approach can surpass state of the art in performance in a parallel environment.

Comments

This article originally appeared in Physical Review E, volume 100, issue 1, 2019, published by the American Physical Society. ©2018 American Physical Society. The article can also be found online at this link.
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