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We construct a generic two-band model which can describe topological Weyl semimetals with multiple closed Weyl loops. All the existing multi-Weyl-loop semimetals including the nodal-net, or nodal-chain and Hopf-link states can be examined…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Yao Zhou , Feng Xiong , Xiangang Wan , Jin An

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

Strongly Correlated Electrons · Physics 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

Combining multiple emergent correlated properties such as superconductivity and magnetism within the topological matrix can have exceptional consequences in garnering new and exotic physics. Here, we study the topological surface states…

Topological nodal-line semimetals are exotic conductors that host symmetry-protected conducting nodal-lines in their bulk electronic spectrum and nontrivial drumhead states on the surface. Based on first-principles calculations and an…

Materials Science · Physics 2018-02-21 Bahadur Singh , Xiaoting Zhou , Hsin Lin , Arun Bansil

Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically non-trivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular, semimetals with nodal line Fermi surface (FS)…

Strongly Correlated Electrons · Physics 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

The past decades have witnessed a transformation in characterizing condensed matter systems with topology. Aided by a refined understanding of topological band structures with crystalline symmetries that has emerged recently, many…

Materials Science · Physics 2021-10-12 Lin-Lin Wang , Hoi Chun Po , Robert-Jan Slager , Ashvin Vishwanath

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the…

Quantum Gases · Physics 2021-05-21 Bernhard Irsigler , Jun-Hui Zheng , Fabian Grusdt , Walter Hofstetter

Transition metal dichalcogenide (TMD) materials are unique in the wide variety of structural and electronic phases they exhibit in the two-dimensional (2D) single-layer limit. Here we show how such polymorphic flexibility can be used to…

Crystalline symmetries have played a central role in the identification of topological materials. The use of symmetry indicators and band representations have enabled a classification scheme for crystalline topological materials, leading to…

The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases. In this work, we propose a general framework for detecting…

Strongly Correlated Electrons · Physics 2026-02-06 Zhe Wang , Longye Lu , Shang-Qiang Ning , Zenan Liu , Yan-Cheng Wang , Zheng Yan , Wenan Guo

We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting…

Strongly Correlated Electrons · Physics 2015-08-05 T. Senthil

The family of transition metal dipnictides (TMDs) has been of theoretical and experimental interest because this family hosts topological states and extremely large magnetoresistance (MR). Recently, TaAs2, a member of this family, has been…

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

Recently, noncentrosymmetric superconductor BiPd has attracted considerable research interest due to the possibility of hosting topological superconductivity. Here we report a systematic high-resolution angle-resolved photoemission…

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

We investigate the spin and charge densities of surface states of the three-dimensional topological insulator $Bi_2Se_3$, starting from the continuum description of the material [Zhang {\em et al.}, Nat. Phys. 5, 438 (2009)]. The spin…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 P. G. Silvestrov , P. W. Brouwer , E. G. Mishchenko

Integration between magnetism and topology is an exotic phenomenon in condensed-matter physics. Here, we propose an exotic phase named topological crystalline antiferromagnetic state, in which antiferromagnetism intrinsically integrates…

Materials Science · Physics 2017-10-11 Ningning Hao , Fawei Zheng , Ping Zhang , Shun-Qing Shen

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

In this paper, we investigate the topological properties of ZrRuP and ScPd$_{3}$ using the first-principles calculations. We calculate the electronic structure, surface states, and Z$_{2}$ topological invariant. The band structure of ZrRuP…

Materials Science · Physics 2018-01-10 Armindo S. Cuamba , Hong-Yan Lu , Lei Hao , C. S. Ting
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