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Thermodynamic constraints on the amplitude of quantum oscillations

Journal Article · · Physical Review B
 [1];  [2];  [3];  [4]
  1. Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.
  2. Max-Planck-Inst. for Chemical Physics of Solids, Dresden (Germany)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Cornell Univ., Ithaca, NY (United States). Lab. for Atomic and Solid State Physics
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.
Research Organization:
Florida State Univ., Tallahassee, FL (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
National Science Foundation (NSF) (United States); USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1441302
Report Number(s):
LA-UR--17-22099
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 12 Vol. 95; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (29)

De Haas-Van Alphen Effect in Nearly Magnetic Transition Metals journal March 1984
Many body effect on oscillatory properties of two-dimensional metals in a magnetic field journal January 1993
Departures from quasiparticle behaviour in the de Haas-van Alphen effect journal April 1981
de Haas van Alphen effect in heavy fermion compounds—effective mass and non-Fermi-liquid behaviour journal April 2008
Magnetic Oscillations in Metals book October 2011
Normal-state nodal electronic structure in underdoped high-Tc copper oxides journal June 2014
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Direct measurement of the upper critical field in cuprate superconductors journal February 2014
Transport near a quantum critical point in BaFe2(As1−xPx)2 journal January 2014
Nodal bilayer-splitting controlled by spin-orbit interactions in underdoped high-Tc cuprates journal June 2015
The influence of many-body interactions on the de Haas-van Alphen effect journal December 1996
Interpretation of the de Haas-van Alphen effect journal September 1952
On the thermodynamics of independent Landau electrons journal October 1981
Many-Body Problem in Quantum Statistical Mechanics. IV. Formulation in Terms of Average Occupation Number in Momentum Space journal January 1960
Ground-State Energy of a Many-Fermion System. II journal June 1960
Theory of the de Haas-van Alphen Effect for a System of Interacting Fermions journal March 1961
Amplitude of the de Haas–van Alphen oscillations for a marginal Fermi liquid journal July 1991
Quantum kinetic approach to the calculation of the Nernst effect journal December 2009
Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence journal April 2010
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 Close to the Quantum Critical Point in BaFe 2 ( As 1 − x P x ) 2 journal June 2013
Electronic specific heat of YBa 2 Cu 3 O 6 + x from 1.8 to 300 K journal September 1993
Anomalous de Haas–van Alphen Oscillations in CeCo In 5 journal May 2005
A theoretical description of the new phases of liquid He 3 journal April 1975
Anomalous Criticality in the Electrical Resistivity of La2-xSrxCuO4 journal January 2009
Similarity of Scattering Rates in Metals Showing T-Linear Resistivity journal February 2013
Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor journal March 2015
Fluctuations of the superconducting order parameter as an origin of the Nernst effect journal April 2009
Luttinger theorem for a spin-density-wave state journal February 1998

Cited By (2)

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

Figures / Tables (1)


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