Superconducting Quantum Critical Point

Abstract

We study the properties of a quantum critical point which develops in a BCS superconductor when pair-breaking suppresses the transition temperature to zero. The pair fluctuations are characterized by a dynamical critical exponent z=2. Except for very low temperatures, anomalous contribution to the conductivity is proportional to the square root of T in three dimensions, but to 1/T in two dimensions. At lowest temperatures, the conductivity correction varies as T to the power 1/4 in three dimensions, and as ln(1/T) in two.

3 pages, 3 Postscript figures, Latex

References in corpus (1)

• Anomalous Behavior at a Superconducting Quantum Critical Point

Cited by in corpus (29)

• Superconducting fluctuations at low temperature
• Field-Tuned Quantum Critical Point in CeCoIn${}_5$ Near the Superconducting Upper Critical Field
• Fidelity Between Partial States as Signature of Quantum Phase Transitions
• Superconductivity in CeCoIn5-xSnx: Veil Over an Ordered State or Novel Quantum Critical Point?
• Spin glass versus superconductivity
• Microscopic analysis of the superconducting quantum critical point: Finite temperature crossovers in transport near a pair-breaking quantum phase transition
• Fluctuation conductivity of thin films and nanowires near a parallel-field-tuned superconducting quantum phase transition
• Superconducting quantum phase transitions tuned by magnetic impurity and magnetic field in ultrathin a-Pb films
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Quantum fluctuations in Larkin-Ovchinnikov-Fulde-Ferrell superconductors
• Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
• Magnetic impurities in a superconductor: Effect of domain walls and interference
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Quantum corrections to the phase diagram of heavy-fermion superconductors
• First order quantum phase transitions
• Search for a quantum phase transition in U(Pt_(1-x)Pd_x)_3
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Universal behavior at discontinuous quantum phase transitions
• Scaling of the physical properties in Ba(Fe,Ni)2As2 single crystals: Evidence for quantum fluctuations
• Fluctuation Conductivity in Unconventional Superconductors near Critical Disorder
• Quantum-fluctuation effects in transport properties of superconductors above the paramagnetic limit
• Evolution of ground state and upper critical field in R(1-x)GdxNi2B2C (R = Lu, Y): Coexistence of superconductivity and spin-glass state
• Interplay between density and superconducting quantum critical fluctuations
• Superfluid Quantum Criticality in Liquid 3He in Anisotropic Aerogel
• Fluctuations in a superconducting quantum critical point of multi-band metals
• Transport anomalies in multiband superconductors near quantum critical point
• Cooper-pair size and binding energy for unconventional superconducting systems
• Quantum Metal--Superconductor Transition: A Local Field Theory Approach
• Low temperature magnetoresistance of dirty thin films and quantum wires near a parallel-field-tuned superconducting quantum phase transition