Theory of hydrodynamic transport in fluctuating electronic charge density wave states

Delacrétaz, Luca V.; Goutéraux, Blaise; Hartnoll, Sean A.; Karlsson, Anna

doi:10.1103/PhysRevB.96.195128

Theory of hydrodynamic transport in fluctuating electronic charge density wave states

Luca V. Delacrétaz
(
- Stanford U., Phys. Dept.
)
,
Blaise Goutéraux
(
- Stanford U., Phys. Dept. and
- APC, Paris and
- Nordita
)
,
Sean A. Hartnoll
(
- Stanford U., Phys. Dept.
)
,
Anna Karlsson
(
- Stanford U., Phys. Dept.
)

Feb 16, 2017

17 pages

Published in:

Phys.Rev.B 96 (2017) 19, 195128

Published: Nov 13, 2017

e-Print:

1702.05104 [cond-mat.str-el]

DOI:

10.1103/PhysRevB.96.195128

Report number:

NORDITA-2017-16

View in:

pdf

reference search88 citations

Citations per year

Abstract: (arXiv)

We describe the collective hydrodynamic motion of an incommensurate charge density wave state in a clean electronic system. Our description simultaneously incorporates the effects of both pinning due to weak disorder and also phase relaxation due to proliferating dislocations. We show that the interplay between these two phenomena has important consequences for charge and momentum transport. For instance, it can lead to metal-insulator transitions. We furthermore identify signatures of fluctuating density waves in frequency and spatially resolved conductivities. Phase disordering is well known to lead to a large viscosity. We derive a precise formula for the phase relaxation rate in terms of the viscosity in the dislocation cores. We thereby determine the viscosity of the superconducting state of BSCCO from the observed melting dynamics of Abrikosov lattices and show that the result is consistent with dissipation into Bogoliubov quasiparticles.

Note:

1+24+10 pages + refs, 6 figures; v2, extended discussion of phase relaxation; v3, moved detailed discussion of review material to appendices to shorten main text; v4, presentation improved and shortened

density: wave
charge: density: fluctuation
dimension: 2
frequency: low
viscosity
superconductivity
hydrodynamics
conductivity
collective
crystal

References(61)

Figures(8)

[1]

Minimum of resistance in impurity-free conductors

R.N. Gurzhi

- JETP Lett. 44 (1963) 771

[2]

Hydrodynamic effects in solids at low temperature

R.N. Gurzhi

- Sov.Phys.Usp. 11 (1968) 255

[3]

Transport in two dimensional electronic micro-emulsions

B. Spivak
,
S.A. Kivelson

- Annals Phys. 321 (2006) 2071

[4]

Graphene: A Nearly Perfect Fluid

M. Müller
,
J. Schmalian
,
L. Fritz

- Phys.Rev.Lett. 103 (2009) 025301

[5]

Hydrodynamic Description of Transport in Strongly Correlated Electron Systems

A.V. Andreev
,
S.A. Kivelson
,
B. Spivak

- Phys.Rev.Lett. 106 (2011) 256804
•
e-Print:
- 1011.3068

[6]

Corbino disk viscometer for 2D quantum electron liquids

- Phys.Rev.Lett. 113 (2014) 23, 235901
•
e-Print:
- 1401.0938
•
DOI:
- 10.1103/PhysRevLett.113.235901

[7]

Electromagnetic properties of viscous charged fluids

Davide Forcella
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Jan Zaanen
(
- Leiden U.
)
,
Davide Valentinis
(
- Geneva U.
)
,
Dirk van der Marel
(
- Geneva U.
)

- Phys.Rev.B 90 (2014) 3, 035143
•
e-Print:
- 1406.1356
•
DOI:
- 10.1103/PhysRevB.90.035143

[8]

Electron viscosity, current vortices and negative nonlocal resistance in graphene

L. Levitov
,
G. Falkovich

- Nature Phys. 12 (2016) 672

[9]

Higher-Than-Ballistic Conduction of Viscous Electron Flows

H. Guo
,
E. Ilseven
,
G. Falkovich
,
L. Levitov

•
e-Print:
- 1607.07269

[10]

Hydrodynamic electron flow in high-mobility wires

M.J.M. de Jong
,
L.W. Molenkamp

- Phys.Rev.B 51 (1995) 13389

[11]

Negative local resistance caused by viscous electron backflow in graphene

D.A. Bandurin
,
I. Torre
,
R.K. Kumar
,
M. Ben Shalom
,
A. Tomadin

et al.

- Science 351 (2016) 1055

[12]

Evidence for hydrodynamic electron flow in PdCoO2

P.J.W. Moll
,
P. Kushwaha
,
N. Nandi
,
B. Schmidt
,
A.P. Mackenzie

- Science 351 (2016) 1061

[13]

Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes

Sean A. Hartnoll
(
- Santa Barbara, KITP
)
,
Pavel K. Kovtun
(
- Santa Barbara, KITP
)
,
Markus Muller
(
- Harvard U.
)
,
Subir Sachdev
(
- Harvard U.
)

- Phys.Rev.B 76 (2007) 144502
•
e-Print:
- 0706.3215
•
DOI:
- 10.1103/PhysRevB.76.144502

[14]

Lower bounds for the conductivities of correlated quantum systems

P. Jung
,
A. Rosch

- Phys.Rev.B 75 (2007) 245104
•
e-Print:
- 0704.0886

[15]

Impure AdS/CFT correspondence

- Phys.Rev.D 77 (2008) 106009
•
e-Print:
- 0801.1693
•
DOI:
- 10.1103/PhysRevD.77.106009

[16]

Quantum-critical relativistic magnetotransport in graphene

M. Müller
,
L. Fritz
,
S. Sachdev

- Phys.Rev.B 78 (2008) 115406

[17]

Locally Critical Resistivities from Umklapp Scattering

- Phys.Rev.Lett. 108 (2012) 241601
•
e-Print:
- 1201.3917
•
DOI:
- 10.1103/PhysRevLett.108.241601

[18]

Non-Fermi liquids and the Wiedemann-Franz law

- Phys.Rev.B 88 (2013) 125107
•
e-Print:
- 1304.4249
•
DOI:
- 10.1103/PhysRevB.88.125107

[19]

Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene

Andrew Lucas
(
- Harvard U., Phys. Dept.
)
,
Jesse Crossno
(
- Harvard U., Phys. Dept. and
- Harvard U. (main)
)
,
Kin Chung Fong
(
- Harvard U. (main)
)
,
Philip Kim
(
- Harvard U., Phys. Dept. and
- IPP, Canada and
- Harvard U. (main)
)
,
Subir Sachdev
(
- Harvard U., Phys. Dept. and
- Perimeter Inst. Theor. Phys.
)

- Phys.Rev.B 93 (2016) 7, 075426
•
e-Print:
- 1510.01738
•
DOI:
- 10.1103/PhysRevB.93.075426

[20]

Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene

J. Crossno
,
J.K. Shi
,
K. Wang
,
X. Liu
,
A. Harzheim

et al.

- Science 351 (2016) 1058

[21]

Principles of condensed matter physics, vol. 1. Cambridge University Press

P.M. Chaikin
,
T.C. Lubensky

[22]

Conductivity from charge or spin density waves

P. Lee
,
T. Rice
,
P. Anderson

- Solid State Commun. 14 (1974) 703

[23]

Random-Field Instability of the Ordered State of Continuous Symmetry

Yoseph Imry
(
- Brookhaven
)
,
Shang-keng Ma
(
- UC, San Diego
)

- Phys.Rev.Lett. 35 (1975) 1399-1401
•
DOI:
- 10.1103/PhysRevLett.35.1399

[24]

Dynamics of the charge-density wave. I. Impurity pinning in a single chain

H. Fukuyama
,
P.A. Lee

- Phys.Rev.B 17 (1978) 535

[25]

Electric field depinning of charge density waves

P.A. Lee
,
T.M. Rice

- Phys.Rev.B 19 (1979) 3970

1-25 of 61
1
2
3
25 / page