期刊
PHYSICAL REVIEW LETTERS
卷 117, 期 26, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.267002
关键词
-
资金
- National Natural Science Foundation of China at Tsinghua University [11474175]
A fundamental open issue in physics is whether and how the fermion sign problem in quantum Monte Carlo (QMC) simulations can be solved generically. Here, we show that Majorana-time-reversal (MTR) symmetries can provide a unifying principle to solve the fermion sign problem in interacting fermionic models. By systematically classifying Majorana-bilinear operators according to the anticommuting MTR symmetries they respect, we rigorously prove that there are two and only two fundamental symmetry classes which are sign-problem-free and which we call the Majorana class and Kramers class,respectively. Novel sign-problem-free models in the Majorana class include interacting topological superconductors and interacting models of charge-4e superconductors. We believe that our MTR unifying principle could shed new light on sign-problem-free QMC simulation on strongly correlated systems and interacting topological matters.
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