Circuit realization of topological physics

H Yang, L Song, Y Cao, P Yan - Physics Reports, 2024 - Elsevier
Recently, topolectrical circuits (TECs) boom in studying the topological states of matter. The
resemblance between circuit Laplacians and tight-binding models in condensed matter …

Topological Defect Engineering and Symmetry in Non-Hermitian Electrical Circuits

A Stegmaier, S Imhof, T Helbig, T Hofmann, CH Lee… - Physical Review Letters, 2021 - APS
We employ electric circuit networks to study topological states of matter in non-Hermitian
systems enriched by parity-time symmetry PT and chiral symmetry anti-PT (APT). The …

Topolectric circuits: Theory and construction

J Dong, V Juričić, B Roy - Physical Review Research, 2021 - APS
We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in
electrical LC circuits, where the lattice sites are replaced by the electrical nodes, connected …

Square-root higher-order Weyl semimetals

L Song, H Yang, Y Cao, P Yan - Nature Communications, 2022 - nature.com
The mathematical foundation of quantum mechanics is built on linear algebra, while the
application of nonlinear operators can lead to outstanding discoveries under some …

Non-Hermitian higher-order Weyl semimetals

SAA Ghorashi, T Li, M Sato - Physical Review B, 2021 - APS
We study non-Hermitian higher-order Weyl semimetals (NHHOWSMs) possessing real
spectra and having inversion I (I-NHHOWSM) or time-reversal symmetry T (T-NHHOWSM) …

[HTML][HTML] Designing non-Hermitian real spectra through electrostatics

R Yang, JW Tan, T Tai, JM Koh, L Li, S Longhi, CH Lee - Science Bulletin, 2022 - Elsevier
Non-hermiticity presents a vast newly opened territory that harbors new physics and
applications such as lasing and sensing. However, only non-Hermitian systems with real …

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 …

Experimental realization of two-dimensional weak topological insulators

H Yang, L Song, Y Cao, P Yan - Nano Letters, 2022 - ACS Publications
We report the experimental realization of a two-dimensional (2D) weak topological insulator
(WTI) in spinless Su–Schrieffer–Heeger circuits with parity–time and chiral symmetries …