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We introduce a two-band model of three-dimensional nodal line semimetals, the Fermi surface of which at half-filling may form various one-dimensional configurations of different topology. We study the symmetries and "drumhead" surface…

Mesoscale and Nanoscale Physics · Physics 2018-05-03 Hui Jiang , Linhu Li , Jiangbin Gong , Shu Chen

We unveil novel spin-orbit torque mechanisms driven by topological edge states in magnetic graphene-based devices. Within the energy gap, a damping-like torque plateau emerges within the quantum anomalous Hall phase upon breaking…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 Joaquín Medina Dueñas , José H. García , Stephan Roche

The three-dimensional (3D) Dirac point, where two Weyl points overlap in momentum space, is usually unstable and hard to realize. Here we show, based on the first-principles calculations and effective model analysis, that crystalline…

Materials Science · Physics 2012-05-25 Zhijun Wang , Yan Sun , Xingqiu Chen , Cesare Franchini , Gang Xu , Hongming Weng , Xi Dai , Zhong Fang

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…

We propose a route toward realizing fractionalized topological phases of matter (i.e. with intrinsic topological order) by literally building on un-fractionalized phases. Our approach employs a Kondo lattice model in which a gapped…

Strongly Correlated Electrons · Physics 2017-10-20 Timothy H. Hsieh , Yuan-Ming Lu , Andreas W. W. Ludwig

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in…

Superconductivity · Physics 2025-08-12 Yingyi Huang

Recent experiments indicate that Na$_4$Ir$_3$O$_8$, a material in which s=1/2 iridium local moments form a three dimensional network of corner-sharing triangles, may have a quantum spin liquid ground state with gapless spin excitations.…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Lawler , Arun Paramekanti , Yong Baek Kim , Leon Balents

The theoretical description of non-Fermi liquids is among the most challenging questions in strongly correlated quantum matter. While there are many experimental candidates for such phases, few examples can be studied using controlled…

Strongly Correlated Electrons · Physics 2019-01-29 Bela Bauer , Brendan P. Keller , Simon Trebst , Andreas W. W. Ludwig

Exotic massless fermionic excitations with non-zero Berry flux, other than Dirac and Weyl fermions, could exist in condensed matter systems under the protection of crystalline symmetries, such as spin-1 excitations with 3-fold degeneracy…

Materials Science · Physics 2017-11-20 Peizhe Tang , Quan Zhou , Shou-Cheng Zhang

Fermionic valence bond approach in terms of SU(4) representation is proposed to describe the $J_{1}-J_{2}$ frustrated Heisenberg antiferromagnetic (AF) model on a {\it bipartite} square lattice. A uniform mean field solution without…

Strongly Correlated Electrons · Physics 2009-11-10 Guang-Ming Zhang , Hui Hu , Lu Yu

We theoretically investigate a three-dimensional Fermi gas with Rashba spin-orbit coupling in the presence of both out-of-plane and in-plane Zeeman fields. We show that, driven by a sufficiently large Zeeman field, either out-of-plane or…

Quantum Gases · Physics 2015-04-13 Xia-Ji Liu , Hui Hu , Han Pu

We analyse the dynamical response of a range of 3D Kitaev quantum spin-liquids, using lattice models chosen to explore the different possible low-energy spectra for gapless Majorana fermions, with either Fermi surfaces, nodal lines or Weyl…

Strongly Correlated Electrons · Physics 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

We study fermionic quantum spin liquids (QSLs) on the three-dimensonal trillium lattice of corner-sharing triangles. We are motivated by recent experimental and theoretical investigations that have explored various classical and quantum…

Strongly Correlated Electrons · Physics 2024-09-05 Ming-Hao Li , Sounak Biswas , S. A. Parameswaran

We study lattice constructions of gapped fermionic phases of matter. We show that the construction of fermionic Symmetry Protected Topological orders by Gu and Wen has a hidden dependence on a discrete spin structure on the Euclidean…

Strongly Correlated Electrons · Physics 2016-11-23 Davide Gaiotto , Anton Kapustin

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

Mesoscale and Nanoscale Physics · Physics 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

Strongly Correlated Electrons · Physics 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

Conventional topological superconductors are fully gapped in the bulk but host gapless Majorana modes on their boundaries. We instead focus on a new class of superconductors, second-order topological superconductors, that have gapped,…

Superconductivity · Physics 2018-11-09 Yuxuan Wang , Mao Lin , Taylor L. Hughes

We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin…

Strongly Correlated Electrons · Physics 2017-12-19 Po-Hao Huang , Jyong-Hao Chen , Adrain E. Feiguin , Claudio Chamon , Christopher Mudry
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