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Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

Understanding the robustness of topological phases of matter in the presence of strong interactions, and synthesising novel strongly-correlated topological materials, lie among the most important and difficult challenges of modern…

Quantum Gases · Physics 2017-10-02 J. Jünemann , A. Piga , S. -J. Ran , M. Lewenstein , M. Rizzi , A. Bermudez

Symmetries play a crucial role in the classification of topological phases of matter. Although recent studies have established a powerful framework to search for and classify topological phases based on symmetry indicators, there exists a…

Quantum Physics · Physics 2022-10-11 W. -D. Zhao , Y. -B. Yang , Y. Jiang , Z. -C. Mao , W. -X. Guo , L. -Y. Qiu , G. -X. Wang , L. Yao , L. He , Z. -C. Zhou , Y. Xu , L. -M. Duan

In recent experiments with ultracold atoms, both two-dimensional (2d) Chern insulators and one-dimensional (1d) topological charge pumps have been realized. Without interactions, both systems can be described by the same Hamiltonian, when…

Strongly Correlated Electrons · Physics 2020-11-02 Leo Stenzel , Andrew L. C. Hayward , Ulrich Schollwöck , Fabian Heidrich-Meisner

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

Two-dimensional electrides can acquire topologically non-trivial phases due to intriguing interplay between the cationic atomic layers and anionic electron layers. However, experimental evidence of topological surface states has yet to be…

The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global…

Surface states of topological insulators (TIs) have been playing the central role in the majority of outstanding investigations in low-dimensional electron systems for more than 10 years. TIs based on high-quality strained HgTe films…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 M. L. Savchenko , D. A. Kozlov , N. N. Vasilev , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , A. V. Kolesnikov

We study electronic structures at an interface between a topological insulator and a ferromagnetic insulator by using three-dimensional two-band model. In usual ferromagnetic insulators, the exchange potential is much larger than the bulk…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Tetsuro Habe , Yasuhiro Asano

In modern two-dimensional (2D) materials, such as graphene-based systems and atomically-thin transition-metal dichalcogenides, the interplay of strong electronic correlations, tunable moir\'e superlattices, and nontrivial band topology has…

Strongly Correlated Electrons · Physics 2025-09-26 You Zhou , Ilya Esterlis , Tomasz Smoleński

A three-dimensional (3D) nodal-loop semimetal phase is exploited to engineer a number of intriguing phases featuring different peculiar topological surface states. In particular, by introducing various two-dimensional gap terms to a 3D…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Linhu Li , Han Hoe Yap , Miguel A. N. Araújo , Jiangbin Gong

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

Transition-metal dichalcogenides (TMDs) are renowned for their rich and varied properties. They range from metals and superconductors to strongly spin-orbit-coupled semiconductors and charge-density-wave systems, with their single-layer…

Phase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of…

Mesoscale and Nanoscale Physics · Physics 2021-06-15 C. Dutreix , M. Bellec , P. Delplace , F. Mortessagne

Recent theory and experiment have revealed that strong spin-orbit coupling can have dramatic qualitative effects on the band structure of weakly interacting solids. Indeed, it leads to a distinct phase of matter, the topological band…

Strongly Correlated Electrons · Physics 2015-05-13 D. A. Pesin , Leon Balents

Recently, a new class of second-order topological insulators (SOTIs) characterized by an electronic dipole has been theoretically introduced and proposed to host topological corner states. As a novel topological state, it has been…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Jiang Zeng , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie

The concept of topological phases is a powerful framework to characterize ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. While a few topological phases appear in condensed matter systems, a…

Topology and interactions are foundational concepts in the modern understanding of quantum matter. Their nexus yields three significant research directions: competition between distinct interactions, as in the multiple intertwined phases,…

The two-dimensional (2D) surface state of the three-dimensional strong topological insulator (STI) is fundamentally distinct from other 2D electron systems in that the Fermi arc encircles an odd number of Dirac points. The TI surface is in…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 Dohun Kim , Paul Syers , Nicholas P. Butch , Johnpierre Paglione , Michael S. Fuhrer