Vortex in a d-wave superconductor at low temperatures

Abstract

A systematic perturbation theory is developed to describe the magnetic field-induced subdominant $s$- and $d_{xy}$-wave order parameters in the mixed state of a $d_{x^2-y^2}$-wave superconductor, enabling us to obtain, within weak-coupling BCS theory, analytic results for the free energy of a d-wave superconductor in an applied magnetic field $H_{c1}\ltsim H\ll H_{c2}$ from $T_c$ down to very low temperatures. Known results for a single isolated vortex in the Ginzburg-Landau regime are recovered, and the behavior at low temperatures for the subdominant component is shown to be qualitatively different. In the case of subdominant $d_{xy}$ pair component, superfluid velocity gradients and an orbital Zeeman effect are shown to compete in determining the vortex state, but for realistic field strengths the latter appears to be irrelevant. On this basis, we argue that recent predictions of a low-temperature phase transition in connection with recent thermal conductivity measurements are unlikely to be correct.

20 RevTEX pages, 6 EPS figures; considerably expanded version

References in corpus (3)

• Quasiparticles of d-wave superconductors in finite magnetic fields
• Field induced $d_{x^2-y^2}+i{d}_{xy}$ state and marginal stability of high-Tc superconductors
• Free Energy and Magnetic Penetration Depth of a $d$-Wave Superconductor in the Meissner State

Cited by in corpus (10)

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• Condensed matter and AdS/CFT
• Incipient nodal pairing in planar d-wave superconductors
• Quantum phase transitions of correlated electrons in two dimensions
• Aharonov-Bohm Effect for Quasiparticles around a Vortex Line in a D-wave Superconductor
• Order parameter node removal in the d-wave superconductor $YB{a}_{2}C{u}_3{O}_{7-x}$ under magnetic field
• Quantum phase transitions of antiferromagnets and the cuprate superconductors
• Thermal conductivity and competing orders in d-wave superconductors
• Vortex spectroscopy in the vortex glass: A real-space numerical approach
• Quantum phase transitions and collective modes in d-wave superconductors