Universität zu Köln

Yu, Xiongjie, Chen, Xiao, Roy, Abhishek and Teo, Jeffrey C. Y. (2017). Twofold twist defect chains at criticality. Phys. Rev. B, 96 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

The twofold twist defects in the D(Z(k)) quantum double model (Abelian topological phase) carry non-Abelian fractional Majorana-like characteristics. We align these twist defects in a line and construct a one-dimensional Hamiltonian which only includes the pairwise interaction. For the defect chain with an even number of twist defects, it is equivalent to the Z(k) clock model with a periodic boundary condition (up to some phase factor for the boundary term), while for the odd number case, it maps to the Z(k) clock model with a duality twisted boundary condition. At the critical point, for both cases, the twist defect chain enjoys an additional translation symmetry, which corresponds to the Kramers-Wannier duality symmetry in the Z(k) clock model and can be generated by a series of braiding operators for twist defects. We further numerically investigate the low energy excitation spectrum for k = 3,4,5, and 6. For the even-defect chain, the critical points are the same as the Z(k) clock conformal field theories (CFTs), while for the odd-defect chain, when k not equal 4, the critical points correspond to orbifolding a Z(2) symmetry of CFTs of the even-defect chain. For k = 4 case, we numerically observe some similarity to the Z(4) twist fields in the SU(2)(1)/D-4 orbifold CFT.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Yu, Xiongjie UNSPECIFIED UNSPECIFIED UNSPECIFIED Chen, Xiao UNSPECIFIED UNSPECIFIED UNSPECIFIED Roy, Abhishek UNSPECIFIED UNSPECIFIED UNSPECIFIED Teo, Jeffrey C. Y. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-210928
DOI:	10.1103/PhysRevB.96.205435
Journal or Publication Title:	Phys. Rev. B
Volume:	96
Number:	20
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language OPERATOR CONTENT; BOUNDARY-CONDITIONS; QUANTUM; RENORMALIZATION; SYMMETRIES; SPECTRUM; BREAKING; ALGEBRA; ANYONS; SPIN Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21092