Can one determine the underlying Fermi surface in the superconducting state of strongly correlated superconductors?

Abstract

The question of determining the underlying Fermi surface (FS) that is gapped by superconductivity (SC) is of central importance in strongly correlated systems, particularly in view of angle-resolved photoemission experiments. Here we explore various definitions of the FS in the superconducting state using the zero-energy Green's function, the excitation spectrum and the momentum distribution. We examine (a) d-wave SC in high Tc cuprates, and (b) the s-wave superfluid in the BCS-BEC crossover. In each case we show that the various definitions agree, to a large extent, but all of them violate the Luttinger count and do not enclose the total electron density. We discuss the important role of chemical potential renormalization and incoherent spectral weight in this violation.

4 pages, 4 figures, version 3, Added new figures, detailed discussion of results

References in corpus (4)

• Observation of Bose-Einstein Condensation of Molecules
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Determining the underlying Fermi surface of strongly correlated superconductors
• Fermi surfaces and Luttinger's theorem in paired fermion systems

Cited by in corpus (20)

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• Superconductor-Insulator Transition and Fermi-Bose Crossovers
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Strong renormalization of the Fermi-surface topology close to the Mott transition
• Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
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• Local quasiparticle lifetimes in a d-wave superconductor
• Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
• Effective pairing theory for strongly correlated d-wave superconductors
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Interaction induced Fermi-surface renormalization in the $t_1-t_2$ Hubbard model close to the Mott-Hubbard transition
• Tuning across the BCS-BEC crossover in the multiband superconductor Fe${}_{1+y}$Se${}_x$Te${}_{1-x}$ : An angle-resolved photoemission study
• Pauli limited d-wave superconductors: Quantum breached pair phase and thermal transitions
• Enigma of the vortex state in a strongly correlated d-wave superconductor
• SU(2) approach to the pseudogap phase of high-temperature superconductors: electronic spectral functions
• Fermi Surface Volume of Interacting Systems