Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface - INSPIRE

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Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface

Feb 2, 2024

12 pages

Published in:

Phys.Rev.B 109 (2024) 15, 155162

Published: Apr 15, 2024

e-Print:

2402.01448 [cond-mat.str-el]

DOI:

10.1103/PhysRevB.109.155162 (publication)

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Abstract: (APS)

We study the effect of disorder on

Z_{2}

quantum spin liquids with a Majorana Fermi line (respectively a surface in three dimensions), and we show that depending on the symmetries that are preserved on average, qualitatively different scenarios will occur. In particular, we identify the relevant non-Hermitian symmetries for which disorder will effectively split the Fermi line into two exceptional lines, with

Re (E) = 0

states filling the area in between. We demonstrate the different scenarios using both toy models as well as large-scale numerical simulations.

Note:

12 pages, 9 figures

References(51)

Figures(9)

[1]

Resonating valence bonds: A new kind of insulator?

P. Anderson

- Mater.Res.Bull. 8 (1973) 153
•
DOI:
- 10.1016/0025-5408(73)90167-0

[2]

Spin liquids in frustrated magnets

Leon Balents

- Nature 464 (2010) 7286, 199-208
•
DOI:
- 10.1038/nature08917

[3]

Topological entanglement entropy

Alexei Kitaev
(
- Caltech, IQI and
- Microsoft, Redmond
)
,
John Preskill
(
- Caltech, IQI
)

- Phys.Rev.Lett. 96 (2006) 110404
•
e-Print:
- hep-th/0510092
•
DOI:
- 10.1103/PhysRevLett.96.110404

[4]

Detecting Topological Order in a Ground State Wave Function

Michael Levin
(
- MIT
)
,
Xiao-Gang Wen
(
- MIT
)

- Phys.Rev.Lett. 96 (2006) 110405
•
e-Print:
- cond-mat/0510613
•
DOI:
- 10.1103/PhysRevLett.96.110405

[5]

Fault tolerant quantum computation by anyons

A.Yu. Kitaev
(
- Landau Inst.
)

- Annals Phys. 303 (2003) 2-30
•
e-Print:
- quant-ph/9707021
•
DOI:
- 10.1016/S0003-4916(02)00018-0

[6]

Anyons in an exactly solved model and beyond

Alexei Kitaev
(
- Caltech, Pasadena (main)
)

- Annals Phys. 321 (2006) 1, 2-111
•
e-Print:
- cond-mat/0506438
•
DOI:
- 10.1016/j.aop.2005.10.005

[7]

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models

- Phys.Rev.Lett. 102 (2009) 1, 017205
•
DOI:
- 10.1103/PhysRevLett.102.017205

[8]

Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections

- Ann.Rev.Condensed Matter Phys. 9 (2018) 17-33
•
e-Print:
- 1705.01740
•
DOI:
- 10.1146/annurev-conmatphys-033117-053934

[9]

Mosaic spin models with topological order

S. Yang
,
D.L. Zhou
,
C.P. Sun

- Phys.Rev.B 76 (2007) 180404
•
DOI:
- 10.1103/PhysRevB.76.180404

[10]

Classification of gapless Z2 spin liquids in three-dimensional Kitaev models

- Phys.Rev.B 93 (2016) 085101,
- Phys.Rev.B 94 (2016) 7, 079908 (erratum)
•
e-Print:
- 1511.05569
•
DOI:
- 10.1103/PhysRevB.93.085101

[11]

Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes

- Phys.Rev.Lett. 112 (2014) 20, 207203
•
e-Print:
- 1308.4336
•
DOI:
- 10.1103/PhysRevLett.112.207203

[12]

Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet

et al.

- Nature Materials 15 (2016) 733-740
•
DOI:
- 10.1038/nmat4604

[13]

Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice

M. Hermanns
(
- Cologne U.
)
,
S. Trebst
(
- Cologne U.
)

- Phys.Rev.B 89 (2014) 23, 235102
•
e-Print:
- 1401.7678
•
DOI:
- 10.1103/PhysRevB.89.235102

[14]

Non-Hermitian physics

Yuto Ashida
(
- Tokyo U., Appl. Phys. Dept.
)
,
Zongping Gong
(
- Tokyo U.
)
,
Masahito Ueda
(
- Tokyo U. and
- Wako, RIKEN
)

- Adv.Phys. 69 (2021) 3, 249-435
•
e-Print:
- 2006.01837
•
DOI:
- 10.1080/00018732.2021.1876991

[15]

Exceptional topology of non-Hermitian systems

Emil J. Bergholtz
(
- Stockholm U.
)
,
Jan Carl Budich
(
- Dresden, Tech. U., ITP
)
,
Flore K. Kunst
(
- Stockholm U. and
- Munich, Max Planck Inst. Quantenopt.
)

- Rev.Mod.Phys. 93 (2021) 1, 015005
•
e-Print:
- 1912.10048
•
DOI:
- 10.1103/revmodphys.93.015005

[16]

Non-Hermitian Topological Phenomena: A Review

- Ann.Rev.Condensed Matter Phys. 14 (2023) 83-107
•
e-Print:
- 2205.10379
•
DOI:
- 10.1146/annurev-conmatphys-040521-033133

[17]

A non-Hermitian Hamilton operator and the physics of open quantum systems

Ingrid Rotter

- J.Phys.A 42 (2009) 15, 153001
•
DOI:
- 10.1088/1751-8113/42/15/153001

[18]

-symmetric, non-Hermitian quantum many-body physics—a methodological perspective

- Rept.Prog.Phys. 86 (2023) 12, 124501,
- Rept.Prog.Phys. 86 (2023) 124501
•
e-Print:
- 2303.05956
•
DOI:
- 10.1088/1361-6633/ad05f3

[19]

Non-Hermitian topological theory of finite-lifetime quasiparticles: Prediction of bulk Fermi arc due to exceptional point

- Phys.Rev.B 109 (2024) 23, 235139
•
e-Print:
- 1708.05841
•
DOI:
- 10.1103/PhysRevB.109.235139

[20]

Physics of Nonhermitian Degeneracies

M.V. Berry

- Czech.J.Phys. 54 (2004) 10, 1039-1047
•
DOI:
- 10.1023/B:CJOP.0000044002.05657.04

[21]

PT-symmetry in honeycomb photonic lattices

- Phys.Rev.A 84 (2011) 021806
•
e-Print:
- 1103.3389
•
DOI:
- 10.1103/PhysRevA.84.021806

[22]

Classification of Exceptional Points and Non-Hermitian Topological Semimetals

- Phys.Rev.Lett. 123 (2019) 6, 066405
•
e-Print:
- 1902.08479
•
DOI:
- 10.1103/PhysRevLett.123.066405

[23]

Experimental realization of a Weyl exceptional ring

A. Cerjan
,
S. Huang
,
M. Wang
,
K.P. Chen
,
Y. Chong

et al.

- Nature Photon. 13 (2019) 623
•
DOI:
- 10.1038/s41566-019-0453-z

[24]

Spawning rings of exceptional points out of Dirac cones

B. Zhen
,
C.W. Hsu
,
Y. Igarashi
,
L. Lu
,
I. Kaminer

et al.

- Nature 525 (2015) 354
•
DOI:
- 10.1038/nature14889

[25]

Exceptional links and twisted Fermi ribbons in non-Hermitian systems

J. Carlström
,
E.J. Bergholtz

- Phys.Rev.A 98 (2018) 042114
•
DOI:
- 10.1103/PhysRevA.98.042114

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