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Majorana Quantum Monte Carlo: the fundamental principle and application to exotic quantum phase transition

发布日期:2016年10月11日

物理学院“博约学术沙龙”系列报告
第122期     (2016年第12期)

Title: Majorana Quantum Monte Carlo: the fundamental principle and application to exotic quantum phase transition
报告人:李志翔 博士生(清华大学高等研究中心)
时   间:10月11日(周二)下午3:00
地   点:中心教学楼610
ABSTRACT
A fundamental open issue in physics is whether and how the fermion-sign-problem in quantum Monte Carlo (QMC) can be solved generically. In this talk, I will 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 anti-commuting MTR symmetries they respect, we rigorously proved that there are two and only two fundamental symmetry classes which are sign-problem-free and which we call "Majorana-class" and "Kramers-class", respectively. Then I will focus on the application of Majorana Quantum Monte Carlo in studying exotic quantum transition. The first example is Fermion induced quantum critical point, which is proposed by us as the type-II Landau forbidden transitions. The seconde example is edge quantum critical point in interacting topological superconductor, which is the emergent supersymmetry (SUSY) point.

Curriculum Vitae
Reference:
1. Zi-Xiang Li, Yi-Fan Jiang, Hong Yao, Phys. Rev. B. 91, 241117 (2015) (Editors' Suggestion )
2. Zi-Xiang Li, Yi-Fan Jiang, Hong Yao, New J. Phys. 17, 085003 (2015)
3. Zi-Xiang Li, Yi-Fan Jiang, Shao-Kai Jian, Hong Yao, arXiv:1512.07908
4. Zi-Xiang Li, Yi-Fan Jiang, Hong Yao, arXiv:1601.05789
5. Zi-Xiang Li, Yi-Fan Jiang, Hong Yao, to be submitted
 

联系方式:物理学院办公室 (68913163)
邀 请 人:杨帆 教授
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