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Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Quantum spin Hall (QSH) insulators are a topologically protected phase of matter in two dimensions that can support non-dissipative spin transport. A hallmark of the phase is a pair of helical edge states surrounding an insulating bulk. A…

Mesoscale and Nanoscale Physics · Physics 2024-02-07 Kaifei Kang , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

The hybrid skin-topological effect (HSTE) has recently been proposed as a mechanism where topological edge states collapse into corner states under the influence of the non-Hermitian skin effect (NHSE). However, directly observing this…

Topological insulators have become one of the most active research areas in condensed matter physics. This article reviews progress on the topic of electronic correlations effects in the two-dimensional case, with a focus on systems with…

Strongly Correlated Electrons · Physics 2013-03-08 M. Hohenadler , F. F. Assaad

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

Applying a symmetric bulk bipartition to one-dimensional Affleck-Kennedy-Lieb-Tasaki valence bond solid (VBS) states for the integer spin-S Haldane gapped phase, we can create an array of fractionalized spin-S/2 edge states with the super…

Strongly Correlated Electrons · Physics 2016-03-23 Wen-Jia Rao , Guang-Ming Zhang , Kun Yang

Complex quantum coupling phenomena of halide perovskites are examined through ab-initio calculations and exact diagonalization of model Hamiltonians to formulate a set of fundamental guiding rules to engineer the bandgap through strain. The…

Materials Science · Physics 2020-04-17 Ravi Kashikar , Mayank Gupta , B. R. K. Nanda

This study investigates the topological behavior of a continuous elastic phononic structure characterized by a 3-term Kekul\'e distortion. The elastic waveguide consists of a hexagonal unit cell whose geometric dimensions are intentionally…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Ting-Wei Liu , Fabio Semperlotti

We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topological properties. We analyze the simple, noninteracting…

Strongly Correlated Electrons · Physics 2010-09-29 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

Higher-order topological states in sound have played a pivotal role in understanding the intricate physics underlying sound transport, giving rise to new strategy of manipulating sound. Here we report tunable structure for hinge skin states…

Optics · Physics 2025-05-12 Y. X. Fang , W. H. Zhu , Y. P. Lai , Y. Li , S. Q. Wu

In crystalline systems, charge polarization is related to Zak's phase determined by bulk band topology. Nontrivial charge polarization induces robust edge states accompanied with fractional charge. In Su-Schrieffer-Heeger (SSH) model, it is…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Tomoaki Kameda , Feng Liu , Sudipta Dutta , Katsunori Wakabayashi

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

The unusual electronic properties of the quantum spin Hall or Chern insulator become manifest in the form of robust edge states when samples with boundaries are studied. In this work, we ask if and how the topologically non-trivial…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 Andreas Rüegg , Sinisa Coh , Joel E. Moore

We show that that the non-equilibrium spin polarization of one dimensional helical edge states at the boundary of a two dimensional topological insulator can dynamically induce a polarization of nuclei via the hyperfine interaction. When…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 Adrian Del Maestro , Timo Hyart , Bernd Rosenow

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

The metallic surface states of a topological insulator support helical Dirac fermions protected by topology with their spin locked perpendicular to their momentum. They can acquire mass through magnetic doping or through hybridization of…

Mesoscale and Nanoscale Physics · Physics 2015-04-14 Zhou Li , J. P. Carbotte

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

We introduce a two-component system which models a pseudospinor Bose-Einstein condensate (BEC), with a microwave field coupling its two components. The feedback of BEC of the field (the local-field effect) is taken into account by dint of…

Pattern Formation and Solitons · Physics 2019-05-22 Zhihuan Luo , Weiwen Luo , Wei Pang , Zhijie Mai , Yongyao Li , Boris A. Malomed