4D-XY quantum criticality in a doped Mott insulator

Abstract

A new phenomenology is proposed for the superfluid density of strongly underdoped cuprate superconductors based on recent data for ultra-clean single crystals of YBCO. The data feature a puzzling departure from Uemura scaling and a decline of the slope as the T_c = 0 quantum critical point is approached. We show that this behavior can be understood in terms of the renormalization of quasiparticle effective charge by quantum fluctuations of the superconducting phase as described by a (3+1)-dimensional XY model. We calculate the renormalization of the superfluid density and its slope, explain the new phenomenology, and predict its eventual demise close to the QCP.

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References in corpus (17)

• The pseudogap in high-temperature superconductors: an experimental survey
• The Unusual Superconducting State of Underdoped Cuprates
• Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Phase Fluctuations and Spectral Properties of Underdoped Cuprates
• Dual Order Parameter for the Nodal Liquid
• Classical Phase Fluctuations in High Temperature Superconductors
• Effective Actions and Phase Fluctuations in d-wave Superconductors
• Correlation between superfluid density and Tc of underdoped YBa2Cu3O6+x near the superconductor-insulator transition
• Absolute values of the London penetration depth in YBa2Cu3O6+y measured by zero field ESR spectroscopy on Gd doped single crystals
• Charge modulation, spin response, and dual Hofstadter butterfly in high-Tc cuprates
• 3D-XY critical fluctuations of the thermal expansivity in detwinned YBa2Cu3O7-d single crystals near optimal doping
• Anomalous Charge Dynamics in the Superconducting State of Underdoped Cuprates
• Delocalized fermions in underdoped cuprates
• D-wave superconductivity in doped Mott insulators
• Critical dynamics of superconducting BSCCO films
• Finite temperature superfluid density in very underdoped cuprates

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• Evidence of Two-Dimensional Quantum Critical Behavior in the Superfluid Density of Deeply Underdoped Bi2Sr2CaCu2O8+x
• Phenomenological Ginzburg-Landau-like theory for superconductivity in the cuprates
• Giant proximity effect in a phase-fluctuating superconductor
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• Superfluid Suppression in d-Wave Superconductors due to Disordered Magnetism
• Temperature dependent Fermi arcs in the normal state of the underdoped cuprate superconductors
• Microwave spectroscopy of vortex dynamics in ortho-II YBa2Cu3O6.52
• Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
• High Temperature Superconductivity in the Cuprates: Materials, Phenomena and a Mechanism
• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories
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• Quantum Phase Transition in Lattice Model of Unconventional Superconductors
• Ginzburg-Landau Theory for Unconventional Superconductors: Noncompact U(1) Lattice Gauge Model Coupled with Link Higgs Field
• 4D-XY Superfluid Transition and Dissipation in ${}^4$He Confined in Nanoporous Media
• Evidence for 4D XY Quantum Criticality in ${}^4$He Confined in Nanoporous Media at Finite Temperatures
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair
• ${}^4$He in Nanoporous Media: 4D XY Quantum Criticality at Finite Temperatures
• Determining the absolute value of magnetic penetration depth in small-sized superconducting films