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We show that edge states similar to those known for topological insulators exist in two-dimensional electron system with one-band spectrum in the presence of heterogeneous spin-orbit interaction (SOI). These states appear at boundaries…

Mesoscale and Nanoscale Physics · Physics 2010-11-17 Aleksei A. Sukhanov , Vladimir A. Sablikov

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasi-particle band structures. However, there is a…

Strongly Correlated Electrons · Physics 2026-04-14 Niclas Heinsdorf , Darshan G. Joshi , Hosho Katsura , Andreas P. Schnyder

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

We study an extended Hubbard model with the nearest-neighbor Coulomb interaction on the pyrochlore lattice at half filling. An interaction-driven insulating phase with nontrivial Z_2 invariants emerges at the Hartree-Fock mean-field level…

Strongly Correlated Electrons · Physics 2015-05-20 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

We report the experimental realization of two-dimensional (2D) weak topological insulator (WTI) in spinless Su-Schrieffer-Heeger circuits with parity-time and chiral symmetries. Strong and weak $\mathbb{Z}_2$ topological indexes are adopted…

Mesoscale and Nanoscale Physics · Physics 2022-04-01 Huanhuan Yang , Lingling Song , Yunshan Cao , Peng Yan

In this work we discuss particular effects that take place in systems of quantum emitters coupled to two-dimensional bosonic topological insulators. For a single emitter coupled to the Haldane model, we find a "fragile" quasibound state…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Miguel Bello , J. Ignacio Cirac

The Su-Schrieffer-Heeger (SSH) model is likely the simplest one-dimensional concept to study non-trivial topological phases and topological excitations. Originally developed to explain the electric conductivity of polyacetylene, it has…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 M. Esmann , F. R. Lamberti , A. Lemaitre , N. D. Lanzillotti-Kimura

A metallic disk with strong spin orbit interaction is investigated . The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is described by an effective one…

Strongly Correlated Electrons · Physics 2016-04-20 D. Schmeltzer

The canonical Su-Schrieffer-Heeger (SSH) model is one of the basic geometries that have spurred significant interest in topologically nontrivial bandgap modes with robust properties. Here, we show that the inclusion of suitable third-order…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Yakir Hadad , Alexander B. Khanikaev , Andrea Alu

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

Second-order topological insulators (SOTIs) are the topological phases of matter in d dimensions that manifest (d-2)-dimensional localized modes at the intersection of the edges. We show that SOTIs can be designed via stacked Chern…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Ce Shang , Xiaoning Zang , Wenlong Gao , Udo Schwingenschlögl , Aurélien Manchon

Building on advances in topological photonics and computational optimization, we inversedesign a periodic dielectric structure surrounding a chain of interacting qubits, emulating an extended, dimerized Su-Schrieffer-Heeger (SSH) excitonic…

It has been found previously that the presence or absence of topological edge states in the Su-Schrieffer-Heeger (SSH) model has a huge impact on harmonic generation spectra. More specifically, the yield of harmonics for harmonic orders…

Quantum Physics · Physics 2024-12-30 Siamak Pooyan , Dieter Bauer

The Hopf insulator is a weak topological insulator characterized by an insulating bulk with conducting edge states protected by an integer-valued linking number invariant. The state exists in three-dimensional two-band models. We…

We present a novel theoretical approach to incorporate electronic interactions in the study of two-dimensional topological insulators. By exploiting the correspondence between edge state physics and entanglement spectrum in gapped…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Marcela Derli , E. Novais

We construct a lattice model for a cubic Kondo insulator consisting of one spin-degenerate $d$ and $f$ orbital at each lattice site. The odd-parity hybridization between the two orbitals permits us to obtain various trivial and topological…

Strongly Correlated Electrons · Physics 2014-02-13 Markus Legner , Andreas Rüegg , Manfred Sigrist

We show that higher-order topological insulators can be created from usual square structure by twisting waveguides in each unit cell around the axis passing through the center of the unit cell, even without changing intracell distance…

Optics · Physics 2024-06-28 Yaroslav V. Kartashov

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay between strong correlations and topological phenomena in two-dimensional systems. The existence of multiple electronic degrees of freedom -- charge, spin,…

Strongly Correlated Electrons · Physics 2021-01-27 Yuan Da Liao , Jian Kang , Clara N. Breiø , Xiao Yan Xu , Han-Qing Wu , Brian M. Andersen , Rafael M. Fernandes , Zi Yang Meng
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