Simulating continuous symmetry models with discrete ones

被引:6
|
作者
Catalano, A. G. [1 ,2 ]
Brtan, D. [3 ,4 ]
Franchini, F. [1 ]
Giampaolo, S. M. [1 ]
机构
[1] Inst Ruder Boskovic, Bijenicka Cesta 54, Zagreb 10000, Croatia
[2] Univ Strasbourg, 4 Rue Blaise Pascal, F-67081 Strasbourg, France
[3] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[4] INFN, Via Bonomea 265, I-34136 Trieste, Italy
基金
欧盟地平线“2020”;
关键词
LONG-RANGE ORDER; 2-DIMENSIONAL SYSTEMS; FRUSTRATION; DESTRUCTION; CHIRALITY; SPINS;
D O I
10.1103/PhysRevB.106.125145
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Especially in one dimension, models with discrete and continuous symmetries display different physical properties, starting from the existence of long-range order. In this work, we that, by adding topological frustration, an antiferromagnetic XYZ spin chain, characterized by a discrete local symmetry, develops a region in parameter space that mimics the features of models with continuous symmetries. For instance, frustration closes the mass gap and we describe a continuous crossover between ground states with different quantum numbers, a finite (Fermi) momentum for low energy states, and the disappearance of the finite order parameter. Moreover, we observe nontrivial ground-state degeneracies, nonvanishing chirality, and a singular foliation of the ground-state fidelity. Across the boundary between this chiral region and the rest of the phase diagram, any discontinuity in the energy derivatives vanishes in the thermodynamic limit.
引用
收藏
页数:14
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