Direct topological insulator transitions in three dimensions are destabilized by nonperturbative effects of disorder - INSPIRE

DataBETA

Direct topological insulator transitions in three dimensions are destabilized by nonperturbative effects of disorder

Sep 18, 2023

11 pages

Published in:

Phys.Rev.B 109 (2024) 20, 205106

Published: May 1, 2024

e-Print:

2309.09857 [cond-mat.dis-nn]

DOI:

10.1103/PhysRevB.109.205106 (publication)

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (APS)

We reconsider the phase diagram of a three-dimensional

Z_{2}

topological insulator in the presence of short-ranged potential disorder, with the insight that nonperturbative rare states destabilize the noninteracting Dirac semimetal critical point separating different topological phases. Based on our numerical data on the density of states, conductivity, and wave functions, we argue that the putative Dirac semimetal line is destabilized into a diffusive metal phase of finite extent due to nonperturbative effects of rare regions. We discuss the implications of these results for past and current experiments on doped topological insulators.

Note:

11 pages, 8+2 figures

References(76)

Figures(16)

[1]

Classification of topological insulators and superconductors in three spatial dimensions

Andreas Schnyder
(
- Santa Barbara, KITP
)
,
Shinsei Ryu
(
- Santa Barbara, KITP
)
,
Akira Furusaki
(
- Wako, RIKEN
)
,
Andreas Ludwig
(
- UC, Santa Barbara
)

- Phys.Rev.B 78 (2008) 19, 195125
•
e-Print:
- 0803.2786
•
DOI:
- 10.1103/PhysRevB.78.195125

[2]

Periodic table for topological insulators and superconductors

Alexei Kitaev
(
- Caltech
)

- AIP Conf.Proc. 1134 (2009) 1, 22-30
•
e-Print:
- 0901.2686
•
DOI:
- 10.1063/1.3149495

[3]

Topological insulators and superconductors: Tenfold way and dimensional hierarchy

Shinsei Ryu
(
- UC, Berkeley
)
,
Andreas P. Schnyder
(
- Santa Barbara, KITP and
- Stuttgart, MPI Solid State Res.
)
,
Akira Furusaki
(
- Nishina Ctr., RIKEN
)
,
Andreas W.W. Ludwig
(
- UC, Santa Barbara
)

- New J.Phys. 12 (2010) 065010
•
e-Print:
- 0912.2157
•
DOI:
- 10.1088/1367-2630/12/6/065010

[4]

(, Princeton, NJ, )

B.A. Bernevig

[5]

Topological Insulators in Three Dimensions

- Phys.Rev.Lett. 98 (2007) 10, 106803
•
e-Print:
- cond-mat/0607699
•
DOI:
- 10.1103/PhysRevLett.98.106803

[6]

The birth of topological insulators

J.E. Moore

- Nature 464 (2010) 194
•
DOI:
- 10.1038/nature08916

[7]

Topological Insulators

M.Z. Hasan
(
- Princeton U.
)
,
C.L. Kane
(
- Pennsylvania U.
)

- Rev.Mod.Phys. 82 (2010) 3045
•
e-Print:
- 1002.3895
•
DOI:
- 10.1103/RevModPhys.82.3045

[8]

Three-Dimensional Topological Insulators

M.Zahid Hasan
(
- Princeton U.
)
,
Joel E. Moore
(
- UC, Berkeley and
- LBL, Berkeley
)

- Ann.Rev.Condensed Matter Phys. 2 (2011) 55-78
•
e-Print:
- 1011.5462
•
DOI:
- 10.1146/annurev-conmatphys-062910-140432

[9]

Topological insulators at strong disorder

E. Prodan

e-Print:
- 1602.00306

[10]

Theory of band tails in heavily doped semiconductors

Piet Van Mieghem
(
- Leuven U.
)

- Rev.Mod.Phys. 64 (1992) 755-793
•
DOI:
- 10.1103/RevModPhys.64.755

[11]

phase diagram of three-dimensional disordered topological insulators via a scattering matrix approach

B. Sbierski
,
P.W. Brouwer

- Phys.Rev.B 89 (2014) 155311
•
DOI:
- 10.1103/PhysRevB.89.155311

[12]

Disordered weak and strong topological insulators

K. Kobayashi
,
T. Ohtsuki
,
K.-I. Imura

- Phys.Rev.Lett. 110 (2013) 236803
•
DOI:
- 10.1103/PhysRevLett.110.236803

[13]

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase

S. Murakami

- New J.Phys. 9 (2007) 356
•
DOI:
- 10.1088/1367-2630/9/9/356

[14]

Surface states and topological invariants in three-dimensional topological insulators: Application to

J.C.Y. Teo
,
L. Fu
,
C.L. Kane

- Phys.Rev.B 78 (2008) 045426
•
DOI:
- 10.1103/PhysRevB.78.045426

[15]

Topological insulators with inversion symmetry

Liang Fu
,
C.L. Kane

- Phys.Rev.B 76 (2007) 4, 045302
•
DOI:
- 10.1103/PhysRevB.76.045302

[16]

Model Hamiltonian for topological insulators

C.-X. Liu
,
X.-L. Qi
,
H.J. Zhang
,
X. Dai
,
Z. Fang

et al.

- Phys.Rev.B 82 (2010) 045122
•
DOI:
- 10.1103/PhysRevB.82.045122

[17]

Finite-size energy gap in weak and strong topological insulators

K.-I. Imura
,
M. Okamoto
,
Y. Yoshimura
,
Y. Takane
,
T. Ohtsuki

- Phys.Rev.B 86 (2012) 245436
•
DOI:
- 10.1103/PhysRevB.86.245436

[18]

Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator

Su-Yang Xu
(
- Princeton U.
)
,
Y. Xia
(
- Princeton U.
)
,
L.A. Wray
(
- Princeton U. and
- LBL, Berkeley
)
,
D. Qian
(
- Princeton U.
)
,
Shuang Jia
(
- Princeton U.
)

et al.

- Science 332 (2011) 560
•
e-Print:
- 1104.4633
•
DOI:
- 10.1126/science.1201607

[19]

Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator

T. Sato
(
- Tohoku U.
)
,
Kouji Segawa
(
- Osaka U., ISIR
)
,
K. Kosaka
(
- Tohoku U.
)
,
S. Souma
(
- Tohoku U., Inst. Materials Res.
)
,
K. Nakayama
(
- Georgia U.
)

et al.

- Nature Phys. 7 (2011) 840
•
e-Print:
- 1205.3654
•
DOI:
- 10.1038/nphys2058

[20]

Topological-metal to band-insulator transition in

M. Brahlek
,
N. Bansal
,
N. Koirala
,
S.-Y. Xu
,
M. Neupane

et al.

- Phys.Rev.Lett. 109 (2012) 186403
•
DOI:
- 10.1103/PhysRevLett.109.186403

[21]

A sudden collapse in the transport lifetime across the topological phase transition in

L. Wu
,
M. Brahlek
,
R.V. Aguilar
,
A. Stier
,
C. Morris

et al.

- Nature Phys. 9 (2013) 410
•
DOI:
- 10.1038/nphys2647

[22]

Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals

- Phys.Rev.X 6 (2016) 2, 021042,
- Phys.Rev.X 6 (2016) 3, 039901 (addendum)
•
e-Print:
- 1602.02742
•
DOI:
- 10.1103/PhysRevX.6.021042

[23]

Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semimetals

J.H. Pixley
,
D.A. Huse
,
S. Das Sarma

- Phys.Rev.B 94 (2016) 121107
•
DOI:
- 10.1103/PhysRevB.94.121107

[24]

Theory of avoided criticality in quantum motion in a random potential in high dimensions

Victor Gurarie

- Phys.Rev.B 96 (2017) 1, 014205
•
e-Print:
- 1705.03923
•
DOI:
- 10.1103/PhysRevB.96.014205

[25]

High-Dimensional Disorder-Driven Phenomena in Weyl Semimetals, Semiconductors and Related Systems

S.V. Syzranov
(
- Joint Quantum Inst., College Park and
- U. Colorado, Boulder
)
,
L. Radzihovsky
(
- JILA, Boulder and
- U. Colorado, Boulder
)

- Ann.Rev.Condensed Matter Phys. 9 (2018) 35-58
•
e-Print:
- 1609.05694
•
DOI:
- 10.1146/annurev-conmatphys-033117-054037

1-25 of 76
1
2
3
4
25 / page