skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bad Metals from Fluctuating Density Waves

Abstract

Bad metals have a large resistivity without being strongly disordered. In many bad metals the Drude peak moves away from zero frequency as the resistivity becomes large at increasing temperatures. We catalogue the position and width of the ‘displaced Drude peak’ in the observed optical conductivity of several families of bad metals, showing that \omega_\text{peak} \sim \Delta \omega \sim k_BT/\hbar ω peak Δ ω k B T / . This is the same quantum critical timescale that underpins the T T -linear dc resistivity of many of these materials. We provide a unified theoretical description of the optical and dc transport properties of bad metals in terms of the hydrodynamics of short range quantum critical fluctuations of incommensurate density wave order. Within hydrodynamics, pinned translational order is essential to obtain the nonzero frequency peak.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1];  [1]
  1. Stanford University
  2. Paris Observatory, Royal Institute of Technology (KTH), Stanford University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1395586
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 3 Journal Issue: 3; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Delacrétaz, Luca, Goutéraux, Blaise, Hartnoll, Sean, and Karlsson, Anna. Bad Metals from Fluctuating Density Waves. Netherlands: N. p., 2017. Web. doi:10.21468/SciPostPhys.3.3.025.
Delacrétaz, Luca, Goutéraux, Blaise, Hartnoll, Sean, & Karlsson, Anna. Bad Metals from Fluctuating Density Waves. Netherlands. doi:10.21468/SciPostPhys.3.3.025.
Delacrétaz, Luca, Goutéraux, Blaise, Hartnoll, Sean, and Karlsson, Anna. Fri . "Bad Metals from Fluctuating Density Waves". Netherlands. doi:10.21468/SciPostPhys.3.3.025.
@article{osti_1395586,
title = {Bad Metals from Fluctuating Density Waves},
author = {Delacrétaz, Luca and Goutéraux, Blaise and Hartnoll, Sean and Karlsson, Anna},
abstractNote = {Bad metals have a large resistivity without being strongly disordered. In many bad metals the Drude peak moves away from zero frequency as the resistivity becomes large at increasing temperatures. We catalogue the position and width of the ‘displaced Drude peak’ in the observed optical conductivity of several families of bad metals, showing that \omega_\text{peak} \sim \Delta \omega \sim k_BT/\hbar ω peak ∼ Δ ω ∼ k B T / ℏ . This is the same quantum critical timescale that underpins the T T -linear dc resistivity of many of these materials. We provide a unified theoretical description of the optical and dc transport properties of bad metals in terms of the hydrodynamics of short range quantum critical fluctuations of incommensurate density wave order. Within hydrodynamics, pinned translational order is essential to obtain the nonzero frequency peak.},
doi = {10.21468/SciPostPhys.3.3.025},
journal = {SciPost Physics Proceedings},
number = 3,
volume = 3,
place = {Netherlands},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.3.3.025

Citation Metrics:
Cited by: 32 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Quantum critical phenomena
journal, August 1976


Pinning and conductivity of two-dimensional charge-density waves in magnetic fields
journal, December 1978


Doping dependent optical properties of Bi 2 Sr 2 CaCu 2 O 8+δ
journal, March 2007


Universality of the Mott–Ioffe–Regel limit in metals
journal, September 2004


Non-Fermi liquid behavior and scaling of the low-frequency suppression in the optical conductivity spectra of CaRuO 3
journal, July 2002


Non-Fermi liquids and the Wiedemann-Franz law
journal, September 2013


Optical properties of β ( ET ) 2 SF 5 CH 2 CF 2 SO 3 : A layered molecular superconductor with large discrete counterions
journal, August 1999


Charge Ordering and Magnetopolarons in N a 0.82 C o O 2
journal, October 2004


Quantum criticality
journal, February 2011

  • Sachdev, Subir; Keimer, Bernhard
  • Physics Today, Vol. 64, Issue 2
  • DOI: 10.1063/1.3554314

The dynamics of charge-density waves
journal, October 1988


Spin-gap proximity effect mechanism of high-temperature superconductivity
journal, September 1997


Dislocation-mediated melting in two dimensions
journal, March 1979


Zur Frage des elektrischen Widerstandsgesetzes für tiefe Temperaturen
journal, January 1932


Stripe melting and quantum criticality in correlated metals
journal, September 2012


Charge dynamics of a double-exchange ferromagnet La 1 x Sr x MnO 3
journal, May 2002


New collective mode in YBa 2 Cu 3 O 6 + x observed by time-domain reflectometry
journal, August 2013


Correlation-Driven Heavy-Fermion Formation in LiV 2 O 4
journal, October 2007


Evidence of two species of carriers from the far-infrared reflectivity of Bi 2 Sr 2 CuO 6
journal, November 2000


Quantum critical response at the onset of spin-density-wave order in two-dimensional metals
journal, September 2011


Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998

  • Kivelson, S. A.; Fradkin, E.; Emery, V. J.
  • Nature, Vol. 393, Issue 6685
  • DOI: 10.1038/31177

Non-Fermi-Liquid Behavior of SrRuO 3 : Evidence from Infrared Conductivity
journal, September 1998


Non-Fermi-liquid behavior and d-wave superconductivity near the charge-density-wave quantum critical point
journal, June 1996

  • Castellani, C.; Di Castro, C.; Grilli, M.
  • Zeitschrift für Physik B Condensed Matter, Vol. 103, Issue 2
  • DOI: 10.1007/s002570050347

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011

  • Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
  • Nature, Vol. 477, Issue 7363
  • DOI: 10.1038/nature10345

Transport near the Ising-nematic quantum critical point of metals in two dimensions
journal, April 2014


Frustrated electronic phase separation and high-temperature superconductors
journal, May 1993


Infrared Probe of Transition from Superconductor to Nonmetal in YBa 2 ( Cu 1 x Zn x ) 4 O 8
journal, September 1998


Infrared properties of La 2 x ( C a , S r ) x CaCu 2 O 6 + δ single crystals
journal, April 2003


Incoherent charge dynamics of La 2 x Sr x CuO 4 : Dynamical localization and resistivity saturation
journal, October 2003


Optical Conductivity in Mott-Hubbard Systems
journal, July 1995


Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
journal, April 2014

  • Chubukov, Andrey V.; Maslov, Dmitrii L.; Yudson, Vladimir I.
  • Physical Review B, Vol. 89, Issue 15
  • DOI: 10.1103/PhysRevB.89.155126

Disorder and superconducting-state conductivity of single crystals of YBa 2 Cu 3 O 6.95
journal, May 1994


Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
journal, October 2012

  • Chang, J.; Blackburn, E.; Holmes, A. T.
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2456

Fluctuating charge-density waves in a cuprate superconductor
journal, February 2013

  • Torchinsky, Darius H.; Mahmood, Fahad; Bollinger, Anthony T.
  • Nature Materials, Vol. 12, Issue 5
  • DOI: 10.1038/nmat3571

Hydrodynamic equations and correlation functions
journal, October 1963


Nonzero-temperature transport near quantum critical points
journal, October 1997


Ground State, Spectrum, and Phase Diagram of Two-Dimensional Incommensurate Crystals
journal, January 1979


The geometric order of stripes and Luttinger liquids
journal, October 2001


Why the temperature is high
journal, July 2004


Fermi surface reconstruction in high- T c superconductors
journal, March 2009


Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
journal, February 2016


Dual gauge field theory of quantum liquid crystals in two dimensions
journal, April 2017


Colloquium : Saturation of electrical resistivity
journal, October 2003


Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016


Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014

  • Nie, L.; Tarjus, G.; Kivelson, S. A.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
  • DOI: 10.1073/pnas.1406019111

Similarity of Scattering Rates in Metals Showing T-Linear Resistivity
journal, February 2013


Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012


Theory of universal incoherent metallic transport
journal, December 2014


Conductivity from charge or spin density waves
journal, April 1974


Electrodynamics of the nodal metal state in weakly doped high- T c cuprates
journal, August 2005


The Enigma of the Pseudogap Phase of the Cuprate Superconductors
conference, September 2015

  • Chowdhury, Debanjan; Sachdev, Subir
  • 50th Karpacz Winter School of Theoretical Physics, Quantum Criticality in Condensed Matter
  • DOI: 10.1142/9789814704090_0001

Superconductivity in Bad Metals
journal, April 1995


In-plane optical response of Bi 2 Sr 2 CuO 6
journal, June 1997


Pseudogap and Collective Mode in the Optical Conductivity Spectra of Hole-Doped Ladders in Sr 1 4 x Ca x Cu 24 O 41
journal, February 1999


Origins of bad-metal conductivity and the insulator–metal transition in the rare-earth nickelates
journal, March 2014

  • Jaramillo, R.; Ha, Sieu D.; Silevitch, D. M.
  • Nature Physics, Vol. 10, Issue 4
  • DOI: 10.1038/nphys2907

Electrodynamics of correlated electron materials
journal, June 2011

  • Basov, D. N.; Averitt, Richard D.; van der Marel, Dirk
  • Reviews of Modern Physics, Vol. 83, Issue 2
  • DOI: 10.1103/RevModPhys.83.471

Dynamics of the charge-density wave. I. Impurity pinning in a single chain
journal, January 1978


How to detect fluctuating stripes in the high-temperature superconductors
journal, October 2003


Spectroscopic Imaging of Strongly Correlated Electronic States
journal, March 2016


dc resistivity at the onset of spin density wave order in two-dimensional metals
journal, October 2014


Hyperscaling at the spin density wave quantum critical point in two-dimensional metals
journal, October 2015


Scattering and Pairing in Cuprate Superconductors
journal, August 2010


Electrodynamics of high- T c superconductors
journal, August 2005


Zur Theorie der elektrischen und thermischen Leitfähigkeit von Metallen
journal, January 1930


Anomalous thermal diffusivity in underdoped YBa 2 Cu 3 O 6+x
journal, May 2017

  • Zhang, Jiecheng; Levenson-Falk, Eli M.; Ramshaw, B. J.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 21
  • DOI: 10.1073/pnas.1703416114

Collapse of Coherent Quasiparticle States in θ ( BEDT TTF ) 2 I 3 Observed by Optical Spectroscopy
journal, November 2005


Effect of a nonzero temperature on quantum critical points in itinerant fermion systems
journal, September 1993


Infrared Probe of the Electronic Structure and Charge Dynamics of N a 0.7 C o O 2
journal, December 2004


Dynamics of two-dimensional melting
journal, September 1980

  • Zippelius, Annette; Halperin, B. I.; Nelson, David R.
  • Physical Review B, Vol. 22, Issue 5
  • DOI: 10.1103/PhysRevB.22.2514

ab -plane optical properties of Tl 2 Ba 2 CuO 6 + δ
journal, February 1995