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Combining strong electron correlations [1-4] and nontrivial electronic topology [5] holds great promise for discovery. So far, this regime has been rarely accessed and systematic studies are much needed to advance the field. Here we…

There is considerable current interest to explore electronic topology in strongly correlated metals, with heavy fermion systems providing a promising setting. Recently, a Weyl-Kondo semimetal phase has been concurrently discovered in…

Strongly Correlated Electrons · Physics 2020-04-01 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, topological metals have not been experimentally evidenced until recently.…

Strongly Correlated Electrons · Physics 2018-01-09 Hsin-Hua Lai , Sarah E. Grefe , Silke Paschen , Qimiao Si

Electron correlations amplify quantum fluctuations and, as such, they have been recognized as the origin of a rich landscape of quantum phases. Whether and how they lead to gapless topological states is an outstanding question, and a…

Heavy fermion semimetals represent a promising setting to explore topological metals driven by strong correlations. In this paper, we i) summarize the theoretical results in a Weyl-Kondo semimetal phase for a strongly correlated model with…

Strongly Correlated Electrons · Physics 2020-04-22 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

Weyl-Kondo semimetals are strongly correlated topological semimetals that develop through the cooperation of the Kondo effect with space group symmetries. The Kondo effect, capturing quantum fluctuations associated with strong correlations,…

Strongly Correlated Electrons · Physics 2024-10-25 Yuan Fang , Lei Chen , Andrey Prokofiev , Iñigo Robredo , Jennifer Cano , Maia G. Vergniory , Silke Paschen , Qimiao Si

The symbiosis of strong interactions, flat bands, topology and symmetry has led to the discovery of exotic phases of matter, including fractional Chern insulators, correlated moir\'e topological superconductors, and Dirac and Weyl…

Constructing an effective field theory in terms of doped magnetic impurities (described by an O(3) vector model with a random mass term), itinerant electrons of spin-orbit coupled semiconductors (given by a Dirac theory with a relatively…

Strongly Correlated Electrons · Physics 2018-11-28 Kyoung-Min Kim , Jinsu Kim , Soo-Whan Kim , Myung-Hwa Jung , Ki-Seok Kim

The interplay between strong electron correlation and band topology is at the forefront of condensed matter research. As a direct consequence of correlation, magnetism enriches topological phases and also has promising functional…

How strong correlations and topology interplay is a topic of great current interest. In this perspective paper, we focus on correlation-driven gapless phases. We take the time-reversal symmetric Weyl semimetal as an example because it is…

Strongly Correlated Electrons · Physics 2024-08-02 Diana M. Kirschbaum , Monika Lužnik , Gwenvredig Le Roy , Silke Paschen

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Kaifa Luo , Rui Yu , Hongming Weng

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

A material's electronic topology, which is generally described via its Bloch states and the associated bandstructure, will be enriched by the presence of interactions. In metallic settings, the interactions are usually treated through the…

Strongly Correlated Electrons · Physics 2026-04-20 D. M. Kirschbaum , L. Chen , D. A. Zocco , H. Hu , F. Mazza , J. Larrea Jiménez , A. M. Strydom , D. Adroja , X. Yan , A. Prokofiev , Q. Si , S. Paschen

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Recent interest in topological semimetals has lead to the proposal of many new topological phases that can be realized in real materials. Next to Dirac and Weyl systems, these include more exotic phases based on manifold band degeneracies…

We study the electromagnetic properties of Weyl semimetals with strong interactions. Focusing on a single Weyl cone in the band structure, we induce strong interactions by coupling the Weyl fermion with a tunable coupling constant $g_f$ to…

High Energy Physics - Theory · Physics 2016-05-11 V. P. J. Jacobs , Panagiotis Betzios , Umut Gursoy , H. T. C. Stoof

The interplay of electronic band structures and electron-electron interactions is known to brew new phases in condensed matter. In this paper, we investigate thermodynamic phases and corresponding electronic structures of the Weyl semimetal…

Strongly Correlated Electrons · Physics 2016-09-22 Liang-Jun Zhai , Po-Hao Chou , Chung-Yu Mou

Flat electronic bands are expected to show proportionally enhanced electron correlations, which may generate a plethora of novel quantum phases and unusual low-energy excitations. They are increasingly being pursued in $d$-electron-based…

Strongly Correlated Electrons · Physics 2024-06-21 Lei Chen , Fang Xie , Shouvik Sur , Haoyu Hu , Silke Paschen , Jennifer Cano , Qimiao Si

Strong correlation, in concert with symmetry and topology, engenders novel gapless phases of matter, though only a tip of the iceberg has been seen. An exemplary framework is provided by Weyl-Kondo semimetals, in which Weyl fermions develop…

We study theoretically the electron correlation effect in a three-dimensional Dirac fermion system which describes a topologically nontrivial state. It is shown within the mean-field approximation that time-reversal and inversion symmetries…

Strongly Correlated Electrons · Physics 2013-02-12 Akihiko Sekine , Kentaro Nomura
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