Revisiting the fermion sign problem from the structure of Lee-Yang zeros. II. Finite temperature results and continuation on the complex plane

Abstract

Using the Lee-Yang zeros to explain the origin of the fermion sign problem, we analyze the movement of the zeros at finite temperature with analytically solvable non-interacting systems, and propose a method to obtain the low-temperature properties of fermionic systems—severely affected by the fermion sign problem—by analytic continuation of high-temperature thermodynamic results on the complex plane. This paper is Part II of a series revisiting the fermion sign problem from the structure of Lee-Yang zeros.

Status: submitted to Physical Review E. arXiv:2606.07415

Citation

He, Zeng, Yang, Wang, Ye, Li. “Revisiting the fermion sign problem from the structure of Lee-Yang zeros. II. Finite temperature results and continuation on the complex plane.” arXiv:2606.07415, 2026.

@unpublished{HZY26,
author = {He and Zeng and Yang and Cong Wang and Ye and Li},
year = {2026},
title = {Revisiting the fermion sign problem from the structure of Lee-Yang zeros. II. Finite temperature results and continuation on the complex plane},
note = {Submitted to Physical Review E},
eprint = {2606.07415},
archivePrefix = {arXiv}}