Scaling theory of topological phase transitions
Topologically ordered systems are characterized by topological invariants that are often calculated from the momentum space integration of a certain function that represents the curvature of the manybody state. The curvature function may be Berry curvature, Berry connection, or other quantities dep... Full description
Journal Title:  Journal of Physics: Condensed Matter 2016, Vol.28(5), p.055601 (7pp) 
Main Author:  Chen, Wei 
Format:  Electronic Article 
Language: 
English 
Subjects:  
ID:  ISSN: 09538984 ; EISSN: 1361648X ; DOI: 10.1088/09538984/28/5/055601 
Link:  http://dx.doi.org/10.1088/09538984/28/5/055601 
Zum Text: 
SendSend as email
Add to Book BagAdd to Book Bag
Staff View
recordid:  iop10.1088/09538984/28/5/055601 
title:  Scaling theory of topological phase transitions 
format:  Article 
creator: 

subjects: 

ispartof:  Journal of Physics: Condensed Matter, 2016, Vol.28(5), p.055601 (7pp) 
description:  Topologically ordered systems are characterized by topological invariants that are often calculated from the momentum space integration of a certain function that represents the curvature of the manybody state. The curvature function may be Berry curvature, Berry connection, or other quantities depending on the system. Akin to stretching a messy string to reveal the number of knots it contains, a scaling procedure is proposed for the curvature function in inversion symmetric systems, from which the topological phase transition can be identified from the flow of the driving energy parameters that control the topology (hopping, chemical potential, etc) under scaling. At an infinitesimal operation, one obtains the renormalization group (RG) equations for the driving energy parameters. A length scale defined from the curvature function near the gapclosing momentum is suggested to characterize the scale invariance at critical points and fixed points, and displays a universal critical behavior in a variety of systems examined. 
language:  eng 
source:  
identifier:  ISSN: 09538984 ; EISSN: 1361648X ; DOI: 10.1088/09538984/28/5/055601 
fulltext:  no_fulltext 
issn: 

url:  Link 
@attributes 
 
PrimoNMBib 
