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Three-dimensional topological insulators represent a new quantum phase of matter with spin-polarized surface states that are protected from backscattering. The static electronic properties of these surface states have been comprehensively…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. W. McIver , D. Hsieh , H. Steinberg , P. Jarillo-Herrero , N. Gedik

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

Topological insulators (TIs) are an unusual phase of quantum matter with nontrivial spin-momentum locked topological surface states (TSS). The electrical detection of spin-momentum locking of the TSS in 3D TIs has been lacking till very…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 Jifa Tian , Ireneusz Miotkowski , Seokmin Hong , Yong P. Chen

Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet analyses, that one can generate topologically nontrivial…

Quantum Gases · Physics 2016-08-02 Luca D'Alessio , Marcos Rigol

Quantum geometry encoded in the momentum space structure of electronic wavefunctions, governs charge dynamics through Berry curvature, enabling unconventional transport and optical responses. In topological semimetals, this geometry is…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Sobhan Subhra Mishra , Thomas CaiWei Tan , Faxian Xiu , Ranjan Singh

The stability of $\nu=1/3$ Fractional Chern Insulator (FCI) phase is analysed on the example of checkerboard lattice undergoing a transition into Lieb lattice. The transition is performed by the addition of a second sublattice, whose…

Strongly Correlated Electrons · Physics 2016-08-08 Błażej Jaworowski , Paweł Potasz , Andrei Manolescu

Motivated by the close analogy with the fractional quantum Hall states (FQHSs), fractional Chern insulators (FCIs) are envisioned as strongly correlated, incompressible states emerging in a fractionally filled, (nearly) flat band with…

Strongly Correlated Electrons · Physics 2019-03-27 Sutirtha Mukherjee , Kwon Park

Results are presented for the optical Hall conductivity of a Floquet topological insulator (FTI) for an ideal closed quantum system, as well as an open system in a nonequilibrium steady-state with a reservoir. The steady-state, even for the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Hossein Dehghani , Aditi Mitra

Fractional Chern insulators (FCI) are exotic phases of matter realized at partial filling of a Chern band that host fractionally charged anyon excitations. Recent numerical studies in several microscopic models reveal that increasing the…

Strongly Correlated Electrons · Physics 2025-12-23 Zhengyan Darius Shi , T. Senthil

We propose the realization of interaction-driven insulators in periodically strained monolayer graphene and transition metal dichalcogenides (TMDs). Through extensive many-body exact diagonalization, we provide compelling evidence for…

Strongly Correlated Electrons · Physics 2024-12-24 Yuchen Liu , Zheng Zhu

Manipulating the topological properties of insulators, encoded in invariants such as the Chern number and its generalizations, is now a major issue for realizing novel charge/spin responses in electron systems. We propose that a simple…

Materials Science · Physics 2010-06-30 Jun-ichi Inoue , Akihiro Tanaka

Moir\'e superlattices formed by semiconducting transition metal dichalcogenides (TMDs) provide a highly tunable platform for investigating strongly correlated and topological quantum phases. As a prototypical example, twisted bilayer MoTe2…

Ferroelectric higher-order topological insulators (HOTIs) exhibit tunable physical properties arising from the interplay between ferroelectric polarization and band topology. This work investigates the topological origin of two classes of…

Materials Science · Physics 2026-04-21 YingJie Hu , Heng Gao , Yabei Wu , Wei Ren

We investigate the nonequilibrium topological phases of monolayer 1T$^\prime$--MoS$_2$ under high-frequency circularly polarized driving using a low-energy $k\!\cdot\!p$ Hamiltonian combined with a van Vleck expansion. The off-resonant…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Mohammad Mortezaei Nobahari

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

Chern insulators present a topological obstruction to a smooth gauge in their Bloch wave functions that prevents the construction of exponentially-localized Wannier functions - this makes the electric polarization ill-defined. Here, we show…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Sachin Vaidya , Mikael C. Rechtsman , Wladimir A. Benalcazar

Dynamic manipulation of magnetism in topological materials is demonstrated here via a Floquet engineering approach using circularly polarized light. Increasing the strength of the laser field, besides the expected topological phase…

Mesoscale and Nanoscale Physics · Physics 2021-06-15 Xiaoyu Liu , Peizhe Tang , Hannes Hübener , Umberto De Giovannini , Wenhui Duan , Angel Rubio

We systematically investigate how static symmetry-breaking perturbations and dynamic Floquet terms via a polarized light manipulate the topological phase transitions in the two-dimensional quadratic-band-crossing-point (QBCP) materials. The…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Wen-Hao Bian , Jing Wang

We study the effects of electronic correlations on fragile topology using dynamical mean-field theory. Fragile topological insulators (FTIs) offer obstruction to the formation of exponentially localized Wannier functions, but they can be…

Strongly Correlated Electrons · Physics 2021-04-28 Ashish Joshi , Robert Peters

We predict twisted double bilayer graphene to be a versatile platform for the realization of fractional Chern insulators readily targeted by tuning the gate potential and the twist angle. Remarkably, these topologically ordered states of…

Mesoscale and Nanoscale Physics · Physics 2021-01-18 Zhao Liu , Ahmed Abouelkomsan , Emil J. Bergholtz
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