Bad Metals from Fluctuating Density Waves

Delacrétaz, Luca; Goutéraux, Blaise; Hartnoll, Sean; Karlsson, Anna

doi:10.21468/SciPostPhys.3.3.025

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 $ω_{peak} \sim Δ ω \sim k_{B} T / ℏ$ . 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.

Authors:

^[1];

^[2]; Hartnoll, Sean ^[1]; Karlsson, Anna ^[1]

Stanford University
Paris Observatory, Royal Institute of Technology (KTH), Stanford University

Publication Date:: Fri Sep 29 00:00:00 EDT 2017

Sponsoring Org.:: USDOE

OSTI Identifier:: 1395586

Resource Type:: Published Article

Journal Name:: SciPost Physics

Additional Journal Information:: Journal Name: SciPost Physics 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.

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                    Delacrétaz, Luca, Goutéraux, Blaise, Hartnoll, Sean, & Karlsson, Anna. Bad Metals from Fluctuating Density Waves.  Netherlands.  https://doi.org/10.21468/SciPostPhys.3.3.025

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                    Delacrétaz, Luca, Goutéraux, Blaise, Hartnoll, Sean, and Karlsson, Anna. Fri .  
"Bad Metals from Fluctuating Density Waves".  Netherlands.  https://doi.org/10.21468/SciPostPhys.3.3.025.

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@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},

  number       = 3,

  volume       = 3,

  place        = {Netherlands},

  year         = {Fri Sep 29 00:00:00 EDT 2017},

  month        = {Fri Sep 29 00:00:00 EDT 2017}

}

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Title: Bad Metals from Fluctuating Density Waves

Abstract

Citation Formats

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

The dynamics of charge-density waves journal, October 1988

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

Theory of a Continuous Stripe Melting Transition in a Two-Dimensional Metal: A Possible Application to Cuprate Superconductors journal, June 2012

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

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

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

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

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

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

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

Zn-substitution effects on the optical conductivity in YBa 2 Cu 3 O 7 − δ crystals: Strong pair breaking and reduction of in-plane anisotropy journal, May 1998

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

Incoherent-to-coherent crossover of optical spectra in La 0.825 Sr 0.175 MnO 3 : Temperature-dependent reflectivity spectra measured on cleaved surfaces journal, November 1999

Stripe fractionalization I: The generation of king local symmetry journal, November 2002

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

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

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

Electrodynamics of correlated electron materials journal, June 2011

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

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Zur Theorie der elektrischen und thermischen Leitfähigkeit von Metallen
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Anomalous thermal diffusivity in underdoped YBa ₂ Cu ₃ O _6+x
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Collapse of Coherent Quasiparticle States in $θ − (BEDT − TTF)_{2} I_{3}$ Observed by Optical Spectroscopy
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Effect of a nonzero temperature on quantum critical points in itinerant fermion systems
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Infrared Probe of the Electronic Structure and Charge Dynamics of ${N a}_{0.7} C o O_{2}$
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