Quantum Transport and Non-Hermiticity on Flat-Band Lattices

Park, Hee Chul; Ryu, Jung Wan; Myoung, Nojoon

doi:10.1007/s10909-017-1848-1

Cited by 5 publications

(2 citation statements)

References 35 publications

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“…The first class considered effect of adding non-Hermiticity to existing Hermitian flat bands, e.g. by replacing each site in a flat band lattice by non-Hermitian dimers with balanced gain and loss [179][180][181][182][183]. In these examples, it was found that either the existing compact localized states become amplified or attenuated, or the compact localized states are destroyed by unflattening of the energy spectrum [184].…”

Section: Discussionmentioning

confidence: 99%

Artificial flat band systems: from lattice models to experiments

Leykam

Andreanov

Flach

2018

Advances in Physics: X

504

400

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Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned coupling. These flat bands display remarkable stronglyinteracting phases of matter. Originally considered as a theoretical convenience useful for obtaining exact analytical solutions of ferromagnetism, flat bands have now been observed in a variety of settings, ranging from electronic systems to ultracold atomic gases and photonic devices. Here we review the design and implementation of flat bands and chart future directions of this exciting field.

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Section: Discussionmentioning

confidence: 99%

Artificial flat band systems: from lattice models to experiments

Leykam

Andreanov

Flach

2018

Advances in Physics: X

504

400

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“…Dissipation and losses are expected in most of physical systems, however, tuning dissipation in a controllable manner leads to wide variety of exotic phenomena with potential applications [20,21]. Along with delicate theoretical beauty, the application of non-Hermitian topology can be found in both classical systems, including optical setups with gain and loss [33,298], electric circuits [144,299], and quantum systems such as electronic transport setups at material junctions [107,300], and dissipative cold-atom experiments [90,150,[301][302][303]. The light-matter topological insulator with non-Hermitian topology in photonic crystals holds great promise both for fundamental discoveries and for opening the door to exciting applications in optoelectronics, lasing, as well as transport [265,[304][305][306][307][308].…”

Section: Physical Platforms and Experimental Advancesmentioning

confidence: 99%

Non-Hermitian topological phases: principles and prospects

Banerjee

Sarkar

Dey

et al. 2023

J. Phys.: Condens. Matter

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The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this review, we present the key principles underpinning the topological features of non-Hermitian phases. Using paradigmatic models -- Hatano-Helson, non-Hermitian Su-Schrieffer-Heeger and non-Hermitian Chern insulator -- we illustrate the central features of non-Hermitian topological systems, including exceptional points, complex energy gaps and non-Hermitian symmetry classification. We discuss the non-Hermitian skin effect and the notion of the generalized Brillouin zone, which allows restoring the bulk-boundary correspondence. Using concrete examples, we examine the role of disorder, present the linear response framework, and analyze the Hall transport properties of non-Hermitian topological systems. We also survey the rapidly growing experimental advances in this field. Finally, we end by highlighting possible directions which, in our view, may be promising for explorations in the near future.

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