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Quantum Transport and Non-Hermiticity on Flat-Band Lattices

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Title
Quantum Transport and Non-Hermiticity on Flat-Band Lattices
Author(s)
Hee Chul Park; Jung-Wan Ryu; Nojoon Myoung
Publication Date
2018-04
Journal
JOURNAL OF LOW TEMPERATURE PHYSICS, v.191, no.1-2, pp.49 - 60
Publisher
SPRINGER/PLENUM PUBLISHERS
Abstract
We investigate quantum transport in a flat-band lattice induced in a twisted cross-stitch lattice with Hermitian or non-Hermitian potentials, with a combination of parity and time-reversal symmetry invariant. In the given system, the transmission probability demonstrates a resonant behavior on the real part of the energy bands. Both of the potentials break the parity symmetry, which lifts the degeneracy of the flat and dispersive bands. In addition, non-Hermiticity conserving PT-symmetry induces a transition between the unbroken and broken PT-symmetric phases through exceptional points in momentum space. Characteristics of non-Hermitian and Hermitian bandgaps are distinguishable: The non-Hermitian bandgap is induced by separation toward complex energy, while the Hermitian bandgap is caused by the expelling of available states into real energy. Deviation of the two bandgaps follows as a function of the quartic power of the induced potential. It is notable that non-Hermiticity plays an important role in the mechanism of generating a bandgap distinguishable from a Hermitian bandgap. © Springer Science+Business Media, LLC, part of Springer Nature 2018
URI
https://pr.ibs.re.kr/handle/8788114/4576
ISSN
0022-2291
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1007-s10909-017-1848-1.pdfDownload

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