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We propose to uncover the topology of a pseudo-Hermitian Chern insulator by quantum quench dynamics. The Bloch Hamiltonian of the pseudo-Hermitian Chern insulator is defined in the basis of the q-deformed Pauli matrices, which are related…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Peng He , Yan-Qing Zhu , Jian-Te Wang , Shi-Liang Zhu

The Kitaev model on the honeycomb lattice is a paradigmatic system known to host a wealth of nontrivial topological phases and Majorana edge modes. In the static case, the Majorana edge modes are nondispersive. When the system is…

Strongly Correlated Electrons · Physics 2021-05-19 Paolo Molignini , Albert Gasull Celades , R. Chitra , Wei Chen

Using the non-commutative Kubo formula for aperiodic solids [1-3] and a recently developed numerical implementation [4], we study the conductivity $\sigma$ and resistivity $\rho$ tensors as functions of Fermi level and temperature, for…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Yu Xue , Emil Prodan

It is known that, in the thermodynamic limit, the Chern number of a translationally invariant system cannot change under unitary time evolutions that are smooth in momentum space. Yet a real-space counterpart of the Chern number, the Bott…

Quantum Gases · Physics 2018-05-01 Yang Ge , Marcos Rigol

We develop a stochastic description of the topological properties in an interacting Chern insulator. We confirm the Mott transition's first-order nature in the interacting Haldane model on the honeycomb geometry, from a mean-field…

Strongly Correlated Electrons · Physics 2021-01-20 Philipp W. Klein , Adolfo G. Grushin , Karyn Le Hur

Topological quantum phase transitions in superconductivity are discussed on two dimensional lattices. The main focus is on the Chern number for superconducting states. Each superconductivity is characterized by the Chern number, and the…

Superconductivity · Physics 2009-11-07 Yasuhiro Hatsugai , Shinsei Ryu

A class of Aubry-Andr\'e-Harper models of spin-orbit coupled electrons exhibits a topological phase diagram where two regions belonging to the same phase are split up by a multicritical point. The critical lines which meet at this point…

Strongly Correlated Electrons · Physics 2020-11-30 M. Malard , H. Johannesson , W. Chen

Floquet engineering can induce complex collective behaviour and interesting synthetic gauge-field in quantum systems through temporal modulation of system parameters by periodic drives. Using a Floquet drive on frequencies of the magnon…

Quantum Physics · Physics 2022-10-12 Shi-fan Qi , Jun Jing

Electric fields, applied to insulators, cause transitions between valence and conduction bands, giving rise to current. Adjustments of the Hamiltonian can perfect the quality of the insulator, shutting down transitions whilst fully…

Materials Science · Physics 2025-01-28 Rafael Hipolito , Paul M. Goldbart

Driven Floquet systems can realize topological phases with no static counterparts. These so-called anomalous Floquet topology breaks the bulk-boundary correspondence based on the Chern number. The number of edge modes in each band gap is…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Luca Asteria , Klaus Sengstock , André Eckardt , Christof Weitenberg

Disorder is ubiquitous in quantum materials, and its interplay with topology can generate phases absent in the clean limit. Using the Haldane model as a minimal setting, we show that disorder not only shifts topological boundaries but also…

We show that certain three-dimensional multigap topological insulators can host quantized integrated shift photoconductivities due to bulk invariants that are defined under reality conditions imposed by additional symmetries. We recast the…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Wojciech J. Jankowski , Robert-Jan Slager

The non-Hermiticity caused breakdown of the bulk-boundary correspondence (BBC) in topological phase transition was cured by the skin effect for the systems with chiral symmetry and translation invariance. However, periodic driving, as an…

Disordered Systems and Neural Networks · Physics 2020-12-23 Hong Wu , Jun-Hong An

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

Mesoscale and Nanoscale Physics · Physics 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

Time-periodic perturbations due to classical electromagnetic fields are useful to engineer the topological properties of matter using the Floquet theory. Here we investigate the effect of quantized electromagnetic fields by focusing on the…

Strongly Correlated Electrons · Physics 2015-10-16 Balázs Gulácsi , Balázs Dóra

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

Despite intense interest in realizing topological phases across a variety of electronic, photonic and mechanical platforms, the detailed microscopic origin of topological behavior often remains elusive. To bridge this conceptual gap, we…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 Ching Hua Lee , Guangjie Li , Guliuxin Jin , Yuhan Liu , Xiao Zhang

Tunability of an artificial quantum system is crucial to its capability to process quantum information. However, tunability usually poses significant demand on the design and fabrication of a device. In this work, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Yuan Zhou , Sisi Gu , Ke Wang , Gang Cao , Xuedong Hu , Ming Gong , Hai-Ou Li , Guo-Ping Guo

In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic boundary effects of linear wave propagation in (meta-)materials.…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Greta Villa , Javier del Pino , Vincent Dumont , Gianluca Rastelli , Mateusz Michałek , Alexander Eichler , Oded Zilberberg

Fluctuating Cooper pairs formed by spatially separated electrons and holes are precursors of their equilibrium condensation. Their presence strongly impacts transport phenomena and interlayer tunneling in double-layer systems above the…

Superconductivity · Physics 2022-01-04 Dmitry K. Efimkin