Finite-Size Scaling Theory at a Self-Dual Quantum Critical Point  

作　　者：张龙 丁成祥 Long Zhang;Chengxiang Ding(Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China;School of Microelectronics&Data Science,Anhui University of Technology,Maanshan 243002,China)

机构地区：[1]Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China [2]School of Microelectronics&Data Science,Anhui University of Technology,Maanshan 243002,China

出　　处：《Chinese Physics Letters》2023年第1期14-18,共5页中国物理快报（英文版）

基　　金：supported by the National Key R&D Program of China(Grant No.2018YFA0305800);the National Natural Science Foundation of China(Grant Nos.12174387 and 11804337);the Strategic Priority Research Program of CAS(Grant No.XDB28000000);the CAS Youth Innovation Promotion Association;supported by the National Natural Science Foundation of China(Grant Nos.11975024 and 62175001);the Anhui Provincial Supporting Program for Excellent Young Talents in Colleges and Universities(Grant No.gxyq ZD2019023)。

摘　　要：The nondivergence of the generalized Gr¨uneisen ratio(GR)at a quantum critical point(QCP)has been proposed to be a universal thermodynamic signature of self-duality.We study how the Kramers–Wannier-type self-duality manifests itself in the finite-size scaling behavior of thermodynamic quantities in the quantum critical regime.While the self-duality cannot be realized as a unitary transformation in the total Hilbert space for the Hamiltonian with the periodic boundary condition,it can be implemented in certain symmetry sectors with proper boundary conditions.Therefore,the GR and the transverse magnetization of the one-dimensional transversefield Ising model exhibit different finite-size scaling behaviors in different sectors.This implies that the numerical diagnosis of self-dual QCP requires identification of the proper symmetry sectors.

关 键 词：DUALITY SYMMETRY TRANSVERSE 

分 类 号：O15[理学—数学]