Thermodynamic constraints on the amplitude of quantum oscillations

Shekhter, Arkady; Modic, K. A.; McDonald, R. D.; Ramshaw, B. J.

doi:10.1103/PhysRevB.95.121106

Title: Thermodynamic constraints on the amplitude of quantum oscillations

Abstract

Magneto-quantum oscillation experiments in high-temperature superconductors show a strong thermally induced suppression of the oscillation amplitude approaching the critical dopings [B. J. Ramshaw et al., Science 348, 317 (2014); H. Shishido et al., Phys. Rev. Lett. 104, 057008 (2010); P. Walmsley et al., Phys. Rev. Lett. 110, 257002 (2013)]—in support of a quantum-critical origin of their phase diagrams. In this paper, we suggest that, in addition to a thermodynamic mass enhancement, these experiments may directly indicate the increasing role of quantum fluctuations that suppress the quantum oscillation amplitude through inelastic scattering. Finally, we show that the traditional theoretical approaches beyond Lifshitz-Kosevich to calculate the oscillation amplitude in correlated metals result in a contradiction with the third law of thermodynamics and suggest a way to rectify this problem.

Authors:

Shekhter, Arkady ^[1]; Modic, K. A. ^[2]; McDonald, R. D. ^[3]; Ramshaw, B. J. ^[4]

Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.
Max-Planck-Inst. for Chemical Physics of Solids, Dresden (Germany)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Cornell Univ., Ithaca, NY (United States). Lab. for Atomic and Solid State Physics

Publication Date:: 2017-03-23

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Florida State Univ., Tallahassee, FL (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF)

OSTI Identifier:: 1441302

Report Number(s):: LA-UR-17-22099
Journal ID: ISSN 2469-9950; TRN: US1900886

Grant/Contract Number:: AC52-06NA25396; DMR-1157490; PHY-1066293

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 95; Journal Issue: 12; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; cuprates; pnictides; strongly correlated systems; superconductors

Citation Formats


                    Shekhter, Arkady, Modic, K. A., McDonald, R. D., and Ramshaw, B. J. Thermodynamic constraints on the amplitude of quantum oscillations.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevB.95.121106.

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                    Shekhter, Arkady, Modic, K. A., McDonald, R. D., & Ramshaw, B. J. Thermodynamic constraints on the amplitude of quantum oscillations.  United States.  https://doi.org/10.1103/PhysRevB.95.121106

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                    Shekhter, Arkady, Modic, K. A., McDonald, R. D., and Ramshaw, B. J. Thu .  
"Thermodynamic constraints on the amplitude of quantum oscillations".  United States.  https://doi.org/10.1103/PhysRevB.95.121106.  https://www.osti.gov/servlets/purl/1441302.

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@article{osti_1441302,

  title        = {Thermodynamic constraints on the amplitude of quantum oscillations},

  author       = {Shekhter, Arkady and Modic, K. A. and McDonald, R. D. and Ramshaw, B. J.},

  abstractNote = {Magneto-quantum oscillation experiments in high-temperature superconductors show a strong thermally induced suppression of the oscillation amplitude approaching the critical dopings [B. J. Ramshaw et al., Science 348, 317 (2014); H. Shishido et al., Phys. Rev. Lett. 104, 057008 (2010); P. Walmsley et al., Phys. Rev. Lett. 110, 257002 (2013)]—in support of a quantum-critical origin of their phase diagrams. In this paper, we suggest that, in addition to a thermodynamic mass enhancement, these experiments may directly indicate the increasing role of quantum fluctuations that suppress the quantum oscillation amplitude through inelastic scattering. Finally, we show that the traditional theoretical approaches beyond Lifshitz-Kosevich to calculate the oscillation amplitude in correlated metals result in a contradiction with the third law of thermodynamics and suggest a way to rectify this problem.},

  doi          = {10.1103/PhysRevB.95.121106},

  journal      = {Physical Review B},

  number       = 12,

  volume       = 95,

  place        = {United States},

  year         = {2017},

  month        = {3}

}

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https://doi.org/10.1103/PhysRevB.95.121106

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Figures / Tables:

FIG. 1: The temperature dependence of quantum oscillations in YBa₂Cu₃O$_{6+x}$ near optimal doping. a Quantum oscillations in the c-axis resistivity, $ρ_{zz}$, up to 90T for YBa₂Cu₃O_6.86 ($p$ = 0.152, T_c = 92K). [1] b The temperature-dependent amplitude of the oscillations in a closely follows the standard Lifshitz-Kosevich behavior A(T) (blackmore »

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Works referencing / citing this record:

Multi-band mass enhancement towards critical doping in a pnictide superconductor
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FIG. 1 (p. 3)

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Title: Thermodynamic constraints on the amplitude of quantum oscillations

Abstract

Citation Formats

Figures / Tables:

Luttinger theorem for a spin-density-wave state journal, February 1998

Theory of the de Haas-van Alphen Effect for a System of Interacting Fermions journal, March 1961

Quantum kinetic approach to the calculation of the Nernst effect journal, December 2009

Anomalous Criticality in the Electrical Resistivity of La2-xSrxCuO4 journal, January 2009

Normal-state nodal electronic structure in underdoped high-Tc copper oxides journal, June 2014

The influence of many-body interactions on the de Haas-van Alphen effect journal, December 1996

Electronic specific heat of YBa 2 Cu 3 O 6 + x from 1.8 to 300 K journal, September 1993

On the thermodynamics of independent Landau electrons journal, October 1981

From quantum matter to high-temperature superconductivity in copper oxides journal, February 2015

A theoretical description of the new phases of liquid He 3 journal, April 1975

Departures from quasiparticle behaviour in the de Haas-van Alphen effect journal, April 1981

Many body effect on oscillatory properties of two-dimensional metals in a magnetic field journal, January 1993

Anomalous de Haas–van Alphen Oscillations in CeCo In 5 journal, May 2005

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

Quasiparticle Mass Enhancement Close to the Quantum Critical Point in BaFe 2 ( As 1 − x P x ) 2 journal, June 2013

Nodal bilayer-splitting controlled by spin-orbit interactions in underdoped high-Tc cuprates journal, June 2015

Direct measurement of the upper critical field in cuprate superconductors journal, February 2014

Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence journal, April 2010

Interpretation of the de Haas-van Alphen effect journal, September 1952

de Haas van Alphen effect in heavy fermion compounds—effective mass and non-Fermi-liquid behaviour journal, April 2008

Transport near a quantum critical point in BaFe2(As1−xPx)2 journal, January 2014

Many-Body Problem in Quantum Statistical Mechanics. IV. Formulation in Terms of Average Occupation Number in Momentum Space journal, January 1960

De Haas-Van Alphen Effect in Nearly Magnetic Transition Metals journal, March 1984

Evolution of the Fermi Surface of BaFe 2 ( As 1 − x P x ) 2 on Entering the Superconducting Dome journal, February 2010

Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor journal, March 2015

Amplitude of the de Haas–van Alphen oscillations for a marginal Fermi liquid journal, July 1991

Ground-State Energy of a Many-Fermion System. II journal, June 1960

Fluctuations of the superconducting order parameter as an origin of the Nernst effect journal, April 2009

Multi-band mass enhancement towards critical doping in a pnictide superconductor journal, February 2019

Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models journal, July 2018

Luttinger theorem for a spin-density-wave state
journal, February 1998

Theory of the de Haas-van Alphen Effect for a System of Interacting Fermions
journal, March 1961

Quantum kinetic approach to the calculation of the Nernst effect
journal, December 2009

Anomalous Criticality in the Electrical Resistivity of La2-xSrxCuO4
journal, January 2009

Normal-state nodal electronic structure in underdoped high-Tc copper oxides
journal, June 2014

The influence of many-body interactions on the de Haas-van Alphen effect
journal, December 1996

Electronic specific heat of ${YBa}_{2}$ ${Cu}_{3}$ $O_{6 + x}$ from 1.8 to 300 K
journal, September 1993

On the thermodynamics of independent Landau electrons
journal, October 1981

From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015

A theoretical description of the new phases of liquid ${}^{3}{He}$
journal, April 1975

Departures from quasiparticle behaviour in the de Haas-van Alphen effect
journal, April 1981

Many body effect on oscillatory properties of two-dimensional metals in a magnetic field
journal, January 1993

Anomalous de Haas–van Alphen Oscillations in $CeCo {In}_{5}$
journal, May 2005

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

Quasiparticle Mass Enhancement Close to the Quantum Critical Point in ${BaFe}_{2} ({As}_{1 - x} P_{x})_{2}$
journal, June 2013

Nodal bilayer-splitting controlled by spin-orbit interactions in underdoped high-Tc cuprates
journal, June 2015

Direct measurement of the upper critical field in cuprate superconductors
journal, February 2014

Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence
journal, April 2010

Interpretation of the de Haas-van Alphen effect
journal, September 1952

de Haas van Alphen effect in heavy fermion compounds—effective mass and non-Fermi-liquid behaviour
journal, April 2008

Transport near a quantum critical point in BaFe2(As1−xPx)2
journal, January 2014

Many-Body Problem in Quantum Statistical Mechanics. IV. Formulation in Terms of Average Occupation Number in Momentum Space
journal, January 1960

De Haas-Van Alphen Effect in Nearly Magnetic Transition Metals
journal, March 1984

Evolution of the Fermi Surface of ${BaFe}_{2} ({As}_{1 - x} P_{x})_{2}$ on Entering the Superconducting Dome
journal, February 2010

Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
journal, March 2015

Amplitude of the de Haas–van Alphen oscillations for a marginal Fermi liquid
journal, July 1991

Ground-State Energy of a Many-Fermion System. II
journal, June 1960

Fluctuations of the superconducting order parameter as an origin of the Nernst effect
journal, April 2009

Multi-band mass enhancement towards critical doping in a pnictide superconductor
journal, February 2019

Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models
journal, July 2018