Pseudogap and Fermi-arc Evolution in the Phase-fluctuation Scenario

Abstract

Pseudogap phenomena and the formation of Fermi arcs in underdoped cuprates are numerically studied in the presence of phase fluctuations that are simulated by an XY model. Most importantly the spectral function for each Monte Carlo sample is calculated directly and efficiently by the Chebyshev polynomials without having to diagonalize the fermion Hamiltonian, which enables us to handle a system large enough to achieve sufficient momentum/energy resolution. We find that the momentum dependence of the energy gap is identical to that of a pure d-wave superconductor well below the KT-transition temperature ($T_{KT}$), while displays an upturn deviation from $\cos k_x-\cos k_y$ with increasing temperature. An abrupt onset of the Fermi arcs is observed above $T_{KT}$ and the arc length exhibits a similar temperature dependence to the thermally activated vortex excitations.

5 pages, 4 figures

References in corpus (13)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The Kernel Polynomial Method
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• Phenomenology of Photoemission Lineshapes of High Tc Superconductors
• Phase Fluctuations and Spectral Properties of Underdoped Cuprates
• Temperature Dependent Scattering Rates at the Fermi Surface of Optimally Doped Bi 2212
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Modeling the Fermi arc in underdoped cuprates
• Evolution of the Fermi surface in phase fluctuating d-wave superconductors
• Pair Phase Fluctuations and the Pseudogap
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• Influence of thermal phase fluctuations on the single particle Green function in a 2D d-wave superconductor

Cited by in corpus (14)

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• Pairing Fluctuations Determine Low Energy Electronic Spectra in Cuprate Superconductors
• Numerical construction of a low-energy effective Hamiltonian in a self-consistent Bogoliubov-de Gennes approach of superconductivity
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Monte Carlo study of thermal fluctuations and Fermi-arc formation in d-wave superconductors
• Development of long-range phase coherence on the Kondo lattice
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• Fractionalized Fermi liquids and the cuprate phase diagram
• Yamaji effect in models of underdoped cuprates
• Studies on the $H\to bb$ cross section measurement at the LHeC with a full detector simulation
• The fermi arc and fermi pocket in cuprates in a short-range diagonal stripe phase
• The interplay of phase fluctuations and nodal quasiparticles: ubiquitous Fermi arcs in two-dimensional d-wave superconductors