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Conversion and Braiding Rules of Ban...

Sun, Xiaoqi.

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Conversion and Braiding Rules of Band-Structure Nodes.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Conversion and Braiding Rules of Band-Structure Nodes./
Author:	Sun, Xiaoqi.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	106 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-02, Section: B.
Contained By:	Dissertations Abstracts International82-02B.
Subject:	Theoretical physics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28104060
ISBN:	9798662512139

Conversion and Braiding Rules of Band-Structure Nodes.
Sun, Xiaoqi.

Conversion and Braiding Rules of Band-Structure Nodes. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 106 p.

Source: Dissertations Abstracts International, Volume: 82-02, Section: B.

Thesis (Ph.D.)--Stanford University, 2020.

This item must not be sold to any third party vendors.

Topological semimetals are characterized by topologically protected band-structure nodes. One prominent example is the Weyl semimetal, characterized by Weyl points carrying topological Chern numbers. In this dissertation, we explore the topology of band-structure nodes with three ingredients: crystal symmetry, non-Hermiticity and periodic driving. First, we show that point group symmetry facilitates a new type of topological invariant from relative homotopy theory, which determines the rules for converting generic band nodes to nodes at high-symmetry momenta (and vice versa) as we tune the lattice Hamiltonian. Secondly, we show that exceptional lines in non-Hermitian bands act as Alice strings. This is manifested by the reversal of the topological charge of a node, if it is braided around an exceptional line. Finally, we discuss the Nielsen-Ninomiya no-go theorem in Floquet bands and the possibility of simulating chiral Weyl particles in the adiabatic limit.

ISBN: 9798662512139Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

Weyl semimetal

Conversion and Braiding Rules of Band-Structure Nodes.
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245 1 0 $a Conversion and Braiding Rules of Band-Structure Nodes.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 106 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-02, Section: B.
500 $a Advisor: Qi, Xiaoliang;Fan, Shanhui;Kivelson, Steven.
502 $a Thesis (Ph.D.)--Stanford University, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Topological semimetals are characterized by topologically protected band-structure nodes. One prominent example is the Weyl semimetal, characterized by Weyl points carrying topological Chern numbers. In this dissertation, we explore the topology of band-structure nodes with three ingredients: crystal symmetry, non-Hermiticity and periodic driving. First, we show that point group symmetry facilitates a new type of topological invariant from relative homotopy theory, which determines the rules for converting generic band nodes to nodes at high-symmetry momenta (and vice versa) as we tune the lattice Hamiltonian. Secondly, we show that exceptional lines in non-Hermitian bands act as Alice strings. This is manifested by the reversal of the topological charge of a node, if it is braided around an exceptional line. Finally, we discuss the Nielsen-Ninomiya no-go theorem in Floquet bands and the possibility of simulating chiral Weyl particles in the adiabatic limit.
590 $a School code: 0212.
650 4 $a Theoretical physics. $3 2144760
653 $a Weyl semimetal
653 $a Point group symmetry
690 $a 0753
710 2 $a Stanford University. $3 754827
773 0 $t Dissertations Abstracts International $g 82-02B.
790 $a 0212
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28104060