Fermionic symmetry protected topological phases and cobordisms

被引：248

作者：

Kapustin, Anton ^{[1
]}

Thorngren, Ryan ^{[2
]}

Turzillo, Alex ^{[1
]}

Wang, Zitao ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 12期

基金：

美国国家科学基金会;

关键词：

Topological Field Theories; Effective field theories; Topological States of Matter;

D O I：

10.1007/JHEP12(2015)052

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with Z(2) symmetry, where Z(2) is either time-reversal or an internal symmetry. We find that cobordism classification correctly describes all known Fermionic SPT phases in space dimension D <= 3 and also predicts that all such phases can be realized by free fermions. In higher dimensions we predict the existence of inherently interacting fermionic SPT phases.

引用

页码：1 / 21

页数：21

共 50 条

[41] Minimalist approach to the classification of symmetry protected topological phases
Xiong, Charles Zhaoxi
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (44)
[42] Amorphous topological phases protected by continuous rotation symmetry
Spring, Helene
Akhmerov, Anton
Varjas, Daniel
SCIPOST PHYSICS, 2021, 11 (02):
[43] Computational Power of Symmetry-Protected Topological Phases
Stephen, David T.
Wang, Dong-Sheng
Prakash, Abhishodh
Wei, Tzu-Chieh
Raussendorf, Robert
PHYSICAL REVIEW LETTERS, 2017, 119 (01)
[44] Wave functions of bosonic symmetry protected topological phases
Xu, Cenke
Senthil, T.
PHYSICAL REVIEW B, 2013, 87 (17):
[45] Classification of subsystem symmetry-protected topological phases
Devakul, Trithep
Williamson, Dominic J.
You, Yizhi
PHYSICAL REVIEW B, 2018, 98 (23)
[46] Photonic Quantum Walks with Symmetry Protected Topological Phases
Blanco-Redondo, A.
Bell, B.
Segev, M.
Eggleton, B. J.
PROCEEDINGS OF INTERNATIONAL CONFERENCE ON METAMATERIALS AND NANOPHOTONICS (METANANO-2017), 2017, 1874
[47] Topological invariants for gauge theories and symmetry-protected topological phases
Wang, Chenjie
Levin, Michael
PHYSICAL REVIEW B, 2015, 91 (16):
[48] Dimensional reduction and topological invariants of symmetry-protected topological phases
Tantivasadakarn, Nathanan
PHYSICAL REVIEW B, 2017, 96 (19)
[49] Rotation symmetry-protected topological phases of fermions
Cheng, Meng
Wang, Chenjie
PHYSICAL REVIEW B, 2022, 105 (19)
[50] Are symmetry protected topological phases immune to dephasing? - a topological electronics perspective
Midha, Siddhant
Jana, Koustav
Muralidharan, Bhaskaran
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2024, 57 (13)

← 1 2 3 4 5 →