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Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared with TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Chen Fang , Yige Chen , Hae-Young Kee , Liang Fu

In recent years, realizing new topological phase of matter has been a hot topic in the fields of physics and materials science. Topological semimetals and metals can conventionally be classified into two types: type-I and type-II according…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 Guodong Liu , Lei Jin , Xuefang Dai , Guifeng Chen , Xiaoming Zhang

The Nielsen-Ninomiya theorem is a fundamental theorem on the realization of chiral fermions in static lattice systems in high-energy and condensed matter physics. Here we extend the theorem in dynamical systems, which include the original…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Takumi Bessho , Masatoshi Sato

We study topological phases of interacting systems in two spatial dimensions in the absence of topological order (i.e. with a unique ground state on closed manifolds and no fractional excitations). These are the closest interacting analogs…

Strongly Correlated Electrons · Physics 2014-05-15 Yuan-Ming Lu , Ashvin Vishwanath

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

In topological semimetals the Dirac points can form zero-dimensional and one-dimensional manifolds, as predicted for Dirac/Weyl semimetals and topological nodal line semimetals, respectively. Here, based on first-principles calculations, we…

We present a holographic model of a Weyl semi-metal. We show that upon varying a mass parameter the model undergoes a quantum phase transition from a topologically non-trivial state to a trivial one. The order parameter for this phase…

High Energy Physics - Theory · Physics 2015-12-23 Karl Landsteiner , Yan Liu

Higher-order topological insulators and semimetals, which generalize the conventional bulk-boundary correspondence, have attracted extensive research interest. Among them, higher-order Weyl semimetals feature two-fold linear crossing points…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Qiyun Ma , Zhenhang Pu , Liping Ye , Jiuyang Lu , Xueqin Huang , Manzhu Ke , Hailong He , Weiyin Deng , Zhengyou Liu

The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional…

Statistical Mechanics · Physics 2020-07-01 Federico Tonielli , Jan Carl Budich , Alexander Altland , Sebastian Diehl

The application of pressure has been demonstrated to induce intriguing phase transitions in topological nodal-line semimetals. In this work we analyze how uniaxial pressure affects the topological character of BaSn2 , a Dirac nodal-line…

Materials Science · Physics 2021-06-16 Adolfo O. Fumega , Victor Pardo , Alberto Cortijo

A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields,…

High Energy Physics - Theory · Physics 2015-05-18 M. Botta Cantcheff , J. A. Helayel-Neto

We develop a method to detect instabilities leading to nematic phases in strongly coupled metallic systems. We do so by adapting the well-known Pomeranchuk technique to a weakly coupled system of fermions in a curved asymptotically AdS…

High Energy Physics - Theory · Physics 2021-07-23 Gastón Giordano , Nicolás Grandi , Adrián Lugo

We study transport through interfaces in topological nodal-line semimetals, focusing on two geometries: a single interface between two large samples, one nodal-line semimetal and one metal, and an infinite nodal-line semimetal slab in…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Mattia Rudi , Alessandro De Martino , Kristof Moors , Domenico Giuliano , Francesco Buccheri

We develop a bosonization procedure on the half line. Different boundary conditions, formulated in terms of the vector and axial fermion currents, are implemented by using in general the mixed boundary condition on the bosonic field. The…

High Energy Physics - Theory · Physics 2009-10-30 Antonio Liguori , Mihail Mintchev

Topological semimetals, including Dirac semimetals, Weyl semimetals, and nodal line semimetals, receive enormous research interest due to their intrinsic topological nature and fascinating properties. In present work, with the help of…

Materials Science · Physics 2017-10-17 P. Zhou , Z. S. Ma , L. Z. Sun

We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

A dynamical non-abelian two-form potential gives masses to vector bosons via a topological coupling. Unlike in the abelian case, the two-form cannot be dualized to Goldstone bosons. Duality is restored by coupling a flat connection to the…

High Energy Physics - Theory · Physics 2014-11-18 Amitabha Lahiri

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
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