Universität zu Köln

Hermanns, Maria ORCID: 0000-0003-2258-1945, Salimi, Yann, Haque, Masudul ORCID: 0000-0001-6848-6068 and Fritz, Lars (2014). Entanglement spectrum and entanglement Hamiltonian of a Chern insulator with open boundaries. J. Stat. Mech.-Theory Exp.. BRISTOL: IOP PUBLISHING LTD. ISSN 1742-5468

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Abstract

We study the entanglement spectrum of a Chern insulator on a cylinder geometry, with the cut separating two partitions parallel to the cylinder edge at varying distances from the edge. In contrast to similar studies on a torus, there is only one cut and hence only one virtual edge mode in the entanglement spectrum. The entanglement spectrum has a gap when the cut is close enough to the physical edge of the cylinder such that the edge mode spatially extends over the cut. This effect is suppressed for parameter choices where the edge mode is sharply localized at the edge. In the extreme case of a perfectly localized edge mode, the entanglement spectrum is gapless, even if the smaller partition consists of a single edge row. For the single-row cut, we construct the corresponding entanglement Hamiltonian, which is a 1D, tight-binding Hamiltonian with complex long range hopping and interesting properties. We also study and explain the effect of two different schemes of flux insertion through a ring described by such an entanglement Hamiltonian.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hermanns, Maria UNSPECIFIED orcid.org/0000-0003-2258-1945 UNSPECIFIED Salimi, Yann UNSPECIFIED UNSPECIFIED UNSPECIFIED Haque, Masudul UNSPECIFIED orcid.org/0000-0001-6848-6068 UNSPECIFIED Fritz, Lars UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-426356
DOI:	10.1088/1742-5468/2014/10/P10030
Journal or Publication Title:	J. Stat. Mech.-Theory Exp.
Date:	2014
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1742-5468
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language HGTE QUANTUM-WELLS; HALL; PHASE Multiple languages Mechanics; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42635