Localization, symmetry breaking, and topological transitions in non-Hermitian quasicrystals

AP Acharya, A Chakrabarty, DK Sahu, S Datta - Physical Review B, 2022 - APS
The topological phase transition in a Hermitian system is associated with a change in the
topological invariant that characterizes the band structure of the two distinct phases …

Non-Hermitian squeezed polarons

F Qin, R Shen, CH Lee - Physical Review A, 2023 - APS
Recent experimental breakthroughs in non-Hermitian ultracold atomic lattices have dangled
tantalizing prospects in realizing exotic, hitherto unreported, many-body non-Hermitian …

Unconventional skin modes in generalized topolectrical circuits with multiple asymmetric couplings

SM Rafi-Ul-Islam, ZB Siu, H Sahin, CH Lee… - Physical Review …, 2022 - APS
The eigennmodes in a non-Hermitian system containing nonreciprocal couplings may
exhibit an extreme localization, also known as non-Hermitian skin effect (NHSE), under …

Twisted topology of non-Hermitian systems induced by long-range coupling

SM Rafi-Ul-Islam, ZB Siu, H Sahin, MSH Razo… - Physical Review B, 2024 - APS
We investigate the twisted topology of the complex eigenspectrum of a one-dimensional non-
Hermitian system under the influence of long-range unidirectional coupling. Unlike the …

From knots to exceptional points: Emergence of topological features in non-Hermitian systems with long-range coupling

SM Rafi-Ul-Islam, ZB Siu, MSH Razo, H Sahin… - Physical Review B, 2024 - APS
We present a study of complex energy braiding in a one-dimensional non-Hermitian system
with n th-order long-range asymmetrical coupling. Our work highlights the emergence of …

System size dependent topological zero modes in coupled topolectrical chains

SM Rafi-Ul-Islam, ZB Siu, H Sahin, CH Lee, MBA Jalil - Physical Review B, 2022 - APS
In this paper, we demonstrate the emergence and disappearance of topological zero modes
(TZMs) in a coupled topolectrical (TE) circuit lattice. Specifically, we consider non-Hermitian …

Type-II corner modes in topolectrical circuits

SM Rafi-Ul-Islam, ZB Siu, H Sahin, MBA Jalil - Physical Review B, 2022 - APS
We study the rich properties of a topolectrical (TE) circuit array consisting of lossless basic
electrical components, such as capacitors and inductors, which can be designed to exhibit …

Critical hybridization of skin modes in coupled non-Hermitian chains

SM Rafi-Ul-Islam, ZB Siu, H Sahin, CH Lee… - Physical Review …, 2022 - APS
Non-Hermitian topological systems exhibit a plethora of unusual topological phenomena
including the extreme localization of eigenstates, known as the non-Hermitian skin effect …

Non-Hermitian topological phases and exceptional lines in topolectrical circuits

SM Rafi-Ul-Islam, ZB Siu, MBA Jalil - New Journal of Physics, 2021 - iopscience.iop.org
We propose a scheme to realize various non-Hermitian topological phases in a topolectrical
(TE) circuit network consisting of resistors, inductors, and capacitors. These phases are …

Interfacial skin modes at a non-Hermitian heterojunction

SM Rafi-Ul-Islam, H Sahin, ZB Siu, MBA Jalil - Physical Review Research, 2022 - APS
We uncover a non-Hermitian skin mode in which the eigenmodes of a nonreciprocal
topoelectrical (TE) heterojunction circuit array are localized at the heterojunction interface …