Minimal models for topological Weyl semimetals
Topological Weyl semimetals (TWS) can be classified as type I TWS, in which the density of states vanishes at the Weyl nodes, and type II TWS, in which an electron pocket and a hole pocket meet at a singular point of momentum space, allowing for distinct topological properties. We consider various m...
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American Physical Society
2017
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Online Access: | http://hdl.handle.net/1721.1/107248 |
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author | McCormick, Timothy M. Kimchi, Itamar Trivedi, Nandini |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics McCormick, Timothy M. Kimchi, Itamar Trivedi, Nandini |
author_sort | McCormick, Timothy M. |
collection | MIT |
description | Topological Weyl semimetals (TWS) can be classified as type I TWS, in which the density of states vanishes at the Weyl nodes, and type II TWS, in which an electron pocket and a hole pocket meet at a singular point of momentum space, allowing for distinct topological properties. We consider various minimal lattice models for type II TWS. The simplest time-reversal-breaking band structure, with a pair of Weyl nodes sharing a single electron pocket and a single hole pocket (hydrogen model), exhibits relics of surface Fermi arc states only away from the Fermi energy, with no topological protection. Topologically protected Fermi arcs can be restored by an additional term (hydrogen model) that produces a bulk structure where the electron and hole pockets of each Weyl point are disjoint. In time-reversal-symmetric but inversion-breaking models, we identify nontopological surface track states that arise out of the topological Fermi arc states at the transition from type I to type II and persist in the type II TWS. The distinctions among these minimal models can aid in distinguishing between generic and model-dependent behavior in studies of superconductivity, magnetism, and quantum oscillations of type II Weyl semimetals. |
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institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T12:02:35Z |
publishDate | 2017 |
publisher | American Physical Society |
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spelling | mit-1721.1/1072482022-10-01T07:48:44Z Minimal models for topological Weyl semimetals McCormick, Timothy M. Kimchi, Itamar Trivedi, Nandini Massachusetts Institute of Technology. Department of Physics Kimchi, Itamar Topological Weyl semimetals (TWS) can be classified as type I TWS, in which the density of states vanishes at the Weyl nodes, and type II TWS, in which an electron pocket and a hole pocket meet at a singular point of momentum space, allowing for distinct topological properties. We consider various minimal lattice models for type II TWS. The simplest time-reversal-breaking band structure, with a pair of Weyl nodes sharing a single electron pocket and a single hole pocket (hydrogen model), exhibits relics of surface Fermi arc states only away from the Fermi energy, with no topological protection. Topologically protected Fermi arcs can be restored by an additional term (hydrogen model) that produces a bulk structure where the electron and hole pockets of each Weyl point are disjoint. In time-reversal-symmetric but inversion-breaking models, we identify nontopological surface track states that arise out of the topological Fermi arc states at the transition from type I to type II and persist in the type II TWS. The distinctions among these minimal models can aid in distinguishing between generic and model-dependent behavior in studies of superconductivity, magnetism, and quantum oscillations of type II Weyl semimetals. 2017-03-09T16:03:34Z 2017-03-09T16:03:34Z 2017-02 2016-11 2017-02-21T23:00:14Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/107248 McCormick, Timothy M., Itamar Kimchi, and Nandini Trivedi. “Minimal Models for Topological Weyl Semimetals.” Physical Review B 95.7 (2017): n. pag. © 2017 American Physical Society en http://dx.doi.org/10.1103/PhysRevB.95.075133 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
spellingShingle | McCormick, Timothy M. Kimchi, Itamar Trivedi, Nandini Minimal models for topological Weyl semimetals |
title | Minimal models for topological Weyl semimetals |
title_full | Minimal models for topological Weyl semimetals |
title_fullStr | Minimal models for topological Weyl semimetals |
title_full_unstemmed | Minimal models for topological Weyl semimetals |
title_short | Minimal models for topological Weyl semimetals |
title_sort | minimal models for topological weyl semimetals |
url | http://hdl.handle.net/1721.1/107248 |
work_keys_str_mv | AT mccormicktimothym minimalmodelsfortopologicalweylsemimetals AT kimchiitamar minimalmodelsfortopologicalweylsemimetals AT trivedinandini minimalmodelsfortopologicalweylsemimetals |