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 critical dopings---in support of a quantum critical origin of their phase diagrams. We suggest that, in addition to a thermodynamic mass enhancement, these experiments may directly indicate the increasing role of quantum fluctuations that suppress the oscillation amplitude through inelastic scattering. 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.

arXiv commentPRB Rapid commun. (2017)

References in corpus (10)

• Direct measurement of the upper critical field in a cuprate superconductor
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Evolution of the Fermi surface of BaFe_2(As_{1-x}P_x)_2 on entering the superconducting dome
• Quasiparticle mass enhancement close to the quantum critical point in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Fluctuations of the superconducting order parameter as an origin of the Nernst effect
• Luttinger theorem for a spin-density-wave state
• Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence
• Quantum kinetic approach to the calculation of the Nernst effect
• Quantum oscillation signatures of nodal spin-orbit coupling in underdoped bilayer high Tc cuprates

Cited by in corpus (5)

• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Evolution of the cyclotron mass with doping in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Entropy and de Haas-van Alphen oscillations of a three-dimensional marginal Fermi liquid
• Mass enhancement in multiple bands approaching optimal doping in a high-temperature superconductor
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates