Evolution of the Fermi surface in phase fluctuating d-wave superconductors

Abstract

One of the most puzzling aspects of the high $T_c$ superconductors is the appearance of Fermi arcs in the normal state of the underdoped cuprate materials. These are loci of low energy excitations covering part of the fermi surface, that suddenly appear above $T_c$ instead of the nodal quasiparticles. Based on a semiclassical theory, we argue that partial Fermi surfaces arise naturally in a d-wave superconductor that is destroyed by thermal phase fluctuations. Specifically, we show that the electron spectral function develops a square root singularity at low frequencies for wave-vectors positioned on the bare Fermi surface. We predict a temperature dependence of the arc length that can partially account for results of recent angle resolved photo emission (ARPES) experiments.

Journal ref. added

References in corpus (4)

• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Topological Transition in the Fermi Surface of Cuprate Superconductors in the Pseudogap Regime
• Temperature dependent Fermi arcs in the normal state of the underdoped cuprate superconductors

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