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The surface states of a symmetry protected topological state can have many possibilities. Here we propose a chiral Abelian topological order on a distinct surface of a multilayer-stacked cluster Mott insulating system. The first-principle…

Strongly Correlated Electrons · Physics 2026-01-09 Xu-Ping Yao , Chao-Kai Li , Gang v. Chen

We demonstrate the emergence of the non-Abelian geometric potentials and thus the three-dimensional (3D) spin-orbit coupling (SOC) for ultracold atoms without using the laser beams. This is achieved by subjecting an atom to a periodic…

Quantum Gases · Physics 2019-12-12 Povilas Račkauskas , Viktor Novičenko , Han Pu , Gediminas Juzeliūnas

Despite of a rapidly expanding inventory of possible crystalline Weyl semimetals, all of them are constrained by the Nielsen-Ninomiya no-go theorem, namely, that left- and right-handed Weyl points appear in pairs. With time-reversal (T)…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Zhi-Ming Yu , Weikang Wu , Y. X. Zhao , Shengyuan A. Yang

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Non-symmorphic symmetries protect Dirac line nodes in square net materials. This phenomenon has been most prominently observed in ZrSiS. Here, we systematically study the symmetry-protected nodal fermions that result from different ways of…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Sebastian Klemenz , Leslie Schoop , Jennifer Cano

Materials that have zero-energy flat band states on the surface may show surface superconductivity. Here we report a theoretical observation that a Hamiltonian describing a thin slab of topological nodal line semimetal, has zero energy…

Statistical Mechanics · Physics 2025-12-19 Protyush Nandi , Subinay Dasgupta

We consider non-chiral symmetry-protected topological phases of matter in two spatial dimensions protected by a discrete symmetry such as $\mathbb{Z}_K$ or $\mathbb Z_K \times \mathbb Z_K $ symmetry. We argue that modular…

Strongly Correlated Electrons · Physics 2015-06-15 Olabode M. Sule , Xiao Chen , Shinsei Ryu

In recent years, the exotic properties of topological semimetals (TSMs) have attracted great attention and significant efforts have been made in seeking for new topological phases and material realization. In this work, we propose a new…

Topological materials in crystal solids, including topological insulators (TIs), topological crystalline insulators (TCIs), topological Dirac semimetals (DSMs), topological Weyl semimetals (WSMs), topological Dirac or Weyl nodal line…

Materials Science · Physics 2017-05-05 Xing-Qiu Chen

Motivated by the abundance of symmetry breaking states in magic-angle twisted bilayer graphene and other two-dimensional materials, we study superconducting (SC) and charge orders in two-dimensional topological flat bands in the strong…

Strongly Correlated Electrons · Physics 2024-09-16 Penghao Zhu , Shi Feng , Yuan-Ming Lu

We examine different topological phases in three-dimensional non-centrosymmetric superconductors with time-reversal symmetry by using three different types of topological invariants. Due to the bulk boundary correspondence, a non-zero value…

Mesoscale and Nanoscale Physics · Physics 2011-09-16 Andreas P. Schnyder , Shinsei Ryu

We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Zhu-Guang Chen , Cunzhong Lou , Kaige Hu , Lih-King Lim

In the search for stable topological semimetals with clean band profiles, we have screened all the 3$d$ metal-intercalated transition-metal dichalcogenides (3dI-TMDCs) by performing hybrid-functional-based ab initio calculations. Two…

Strongly Correlated Electrons · Physics 2019-10-08 Takeshi Inoshita , Motoaki Hirayama , Noriaki Hamada , Hideo Hosono , Shuichi Murakami

Topological Dirac semimetals are a class of semimetals that host symmetry-protected Dirac points near the Fermi level, which arise due to a band inversion of the conduction and valence bands. In this work, we study the less explored class…

Materials Science · Physics 2021-06-02 Heng Gao , Jeremy Strockoz , Mario Frakulla , Jörn W. F. Venderbos , Hongming Weng

Nodal-line semimetals are commonly believed to exist in $\mathcal{PT}$ symmetric or mirror-rotation symmetric systems. Here, we find a flux-induced parameter-dimensional second-order nodal-line semimetal (SONLS) in a two-dimensional system…

Mesoscale and Nanoscale Physics · Physics 2023-12-11 Ming-Jian Gao , Jun-Hong An

Topological nodal line semimetals, hosting one-dimensional Fermi lines with symmetry protection, has become a hot topic in topological quantum matter. Due to the breaking of time reversal symmetry in magnetic system, nodal lines require…

Materials Science · Physics 2022-02-15 Busheng Wang , Heng Gao , Qing Lu , WenHui Xie , Yanfeng Ge , Yong-Hong Zhao , Kaicheng Zhang , Yong Liu

Topological phonons in crystalline materials have been attracting great interest. However, most cases studied so far are direct generalizations of the topological states from electronic systems. Here, we reveal a novel class of topological…

Materials Science · Physics 2022-05-06 Jiaojiao Zhu , Weikang Wu , Jianzhou Zhao , Hao Chen , Lifa Zhang , Shengyuan A. Yang

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

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are…

Materials Science · Physics 2018-01-31 Xing Feng , Changming Yue , Zhida Song , QuanSheng Wu , Bin Wen

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

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