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As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize robust properties of condensed matter systems immune to the existence of disorder. The…

介观与纳米尺度物理 · 物理学 2023-08-01 Kazuki Sone , Motohiko Ezawa , Yuto Ashida , Nobuyuki Yoshioka , Takahiro Sagawa

We investigate a quasi-periodically driven four-level system that serves as a temporal analog of topological phenomena found in four-band models with intertwined spin and orbital degrees of freedom. Under a two-tone drive in the…

介观与纳米尺度物理 · 物理学 2026-05-12 Vansh Kaushik , Sayan Choudhury , Tanay Nag

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

量子气体 · 物理学 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt

We deduce the intrinsic conductivity properties of the ferroelectric domain walls around the topologically protected domain vortex cores in multiferroic YMnO3. This is achieved by performing a careful equivalent-circuit analysis of…

强关联电子 · 物理学 2017-01-25 E. Ruff , S. Krohns , M. Lilienblum , D. Meier , M. Fiebig , P. Lunkenheimer , A. Loidl

Two-dimensional topological phases are characterized by TKNN integers, which classify Bloch energy bands or groups of Bloch bands. However, quantization does not survive thermal averaging or dephasing to mixed states. We show that using…

强关联电子 · 物理学 2014-08-18 Zhoushen Huang , Daniel P. Arovas

The fractional quantum Hall (FQH) state is a topological state of matter resulting from the many-body effect of interacting electrons and is of vast interest in fundamental physics. The experimental observation of topological surface states…

强关联电子 · 物理学 2012-05-15 Dong-Xia Qu , Y. S. Hor , R. J. Cava

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The…

高能物理 - 理论 · 物理学 2015-12-30 J. Hutchinson , C. Kristjansen , G. W. Semenoff

The robust quantization of observables in units of universal constants is a hallmark of topological phases. We show that chiral higher order topological insulators (HOTIs), bulk insulators with chiral hinge states, present two unusual…

介观与纳米尺度物理 · 物理学 2019-12-17 Oscar Pozo , Cécile Repellin , Adolfo G. Grushin

The checkerboard lattice is a two-dimensional non-trivial structure usually seen as a planar version of the pyrochlore lattice. This geometry supports a two-band insulating electronic system with Chern topology induced by a complex hopping…

介观与纳米尺度物理 · 物理学 2024-12-24 P. G. de Oliveira , A. S. T. Pires

Quantum geometry quantifies how the single-particle Bloch wavefunction changes in phase and amplitude across the Brillouin Zone. In multi-orbital systems where bands have strongly mixed orbital composition, quantum geometry plays a vital…

强关联电子 · 物理学 2026-02-27 Jixun K. Ding , Martin Claassen

Measuring bipartite fluctuations of a conserved charge, such as the particle number, is a powerful approach to understanding quantum systems. When the measured region has sharp corners, the bipartite fluctuation receives an additional…

介观与纳米尺度物理 · 物理学 2025-01-14 Pok Man Tam , Jonah Herzog-Arbeitman , Jiabin Yu

Thermal noise can destroy topological insulators (TI). However we demonstrate how TIs can be made stable in dissipative systems. To that aim, we introduce the notion of band Liouvillian as the dissipative counterpart of band Hamiltonian,…

介观与纳米尺度物理 · 物理学 2013-11-04 A. Rivas , O. Viyuela , M. A. Martin-Delgado

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

介观与纳米尺度物理 · 物理学 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

We propose a defect-to-edge topological quantum quench protocol that can efficiently inject electric charge from defect-core states into a chiral edge current of an induced Chern insulator. The initial state of the system is assumed to be a…

介观与纳米尺度物理 · 物理学 2020-07-01 Deepak Iyer , Matthew S. Foster

Topologically protected surface modes of classical waves hold the promise to enable a variety of applications ranging from robust transport of energy to reliable information processing networks. The integer quantum Hall effect has delivered…

介观与纳米尺度物理 · 物理学 2020-08-25 Weiyin Deng , Xueqin Huang , Jiuyang Lu , Valerio Peri , Feng Li , Sebastian D. Huber , Zhengyou Liu

Probing ground-state quantum geometry and topology through optical response is not only of fundamental interest, but it can also offer several practical advantages. Here, using first-principles calculations on antiferromagnetic topological…

材料科学 · 物理学 2024-01-19 Barun Ghosh , Yugo Onishi , Su-Yang Xu , Hsin Lin , Liang Fu , Arun Bansil

We have recently identified a protected topological semimetal in graphene which presents a zero-energy edge mode robust to disorder and interactions. Here, we address the characteristics of this semimetal and show that the $\mathbb{Z}$…

介观与纳米尺度物理 · 物理学 2025-12-15 Karyn Le Hur , Sariah Al Saati

We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fields and disorder effects are incorporated in our analysis…

强关联电子 · 物理学 2020-05-07 Bryan Leung , Emil Prodan

The study of topology of energy bands in solid has always been interesting and fruitful. Historically, Thouless et al proposed the TKNN number or Chern number of the energy bands to explain the quantization of Hall conductance in the…

材料科学 · 物理学 2012-01-09 Yi-Dong Wu

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…