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

[1] Fermionic symmetry protected topological phases and cobordisms
Anton Kapustin
Ryan Thorngren
Alex Turzillo
Zitao Wang
Journal of High Energy Physics, 2015, 2015 : 1 - 21
[2] Unwinding fermionic symmetry-protected topological phases: Supersymmetry extension
Prakash, Abhishodh
Wang, Juven
PHYSICAL REVIEW B, 2021, 103 (08)
[3] Stacking group structure of fermionic symmetry-protected topological phases
Ren, Xing-Yu
Ning, Shang-Qiang
Qi, Yang
Wang, Qing-Rui
Gu, Zheng-Cheng
PHYSICAL REVIEW B, 2024, 110 (23)
[4] Interacting fermionic symmetry-protected topological phases in two dimensions
Wang, Chenjie
Lin, Chien-Hung
Gu, Zheng-Cheng
PHYSICAL REVIEW B, 2017, 95 (19)
[5] Many-Body Topological Invariants for Fermionic Symmetry-Protected Topological Phases
Shapourian, Hassan
Shiozaki, Ken
Ryu, Shinsei
PHYSICAL REVIEW LETTERS, 2017, 118 (21)
[6] Interacting One-Dimensional Fermionic Symmetry-Protected Topological Phases
Tang, Evelyn
Wen, Xiao-Gang
PHYSICAL REVIEW LETTERS, 2012, 109 (09)
[7] Computing Classification of Interacting Fermionic Symmetry-Protected Topological Phases Using Topological Invariants*
Ouyang, Yunqing
Wang, Qing-Rui
Gu, Zheng-Cheng
Qi, Yang
CHINESE PHYSICS LETTERS, 2021, 38 (12)
[8] Computing Classification of Interacting Fermionic Symmetry-Protected Topological Phases Using Topological Invariants
欧阳云卿
王晴睿
顾正澄
戚扬
Chinese Physics Letters, 2021, 38 (12) : 44 - 60
[9] Symmetry protected topological phases in two-orbital SU(4) fermionic atoms
Ueda, Hiroshi
Morimoto, Takahiro
Momoi, Tsutomu
PHYSICAL REVIEW B, 2018, 98 (04)
[10] Interacting edge states of fermionic symmetry-protected topological phases in two dimensions
Sullivan, Joseph
Cheng, Meng
SCIPOST PHYSICS, 2020, 9 (02):

← 1 2 3 4 5 →