Phase Fluctuations in Strongly Coupled $d$-Wave Superconductors

Abstract

We present a numerically exact solution for the BCS Hamiltonian at any temperature, including the degrees of freedom associated with classical phase, as well as amplitude, fluctuations via a Monte Carlo (MC) integration. This allows for an investigation over the whole range of couplings: from weak attraction, as in the well-known BCS limit, to the mainly unexplored strong-coupling regime of pronounced phase fluctuations. In the latter, for the first time two characteristic temperatures $T^{\star }$ and $T_c$, associated with short- and long-range ordering, respectively, can easily be identified in a mean-field-motivated Hamiltonian. $T^{\star }$ at the same time corresponds to the opening of a gap in the excitation spectrum. Besides introducing a novel procedure to study strongly coupled d-wave superconductors, our results indicate that classical phase fluctuations are not sufficient to explain the pseudo-gap features of high-temperature superconductors (HTS).

5 pages, 3 figures

References in corpus (8)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Colossal Magnetoresistant Materials: The Key Role of Phase Separation
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Dynamical mean-field theory for pairing and spin gap in the attractive Hubbard model
• Effective Actions and Phase Fluctuations in d-wave Superconductors
• Superconducting Puddles and "Colossal'' Effects in Underdoped Cuprates
• Observability of quantum phase fluctuations in cuprate superconductors
• BCS to Bose Crossover in Anisotropic Superconductors

Cited by in corpus (41)

• Nature of the superconductor-insulator transition in disordered superconductors
• Accelerate Monte Carlo Simulations with Restricted Boltzmann Machines
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Testing the Monte Carlo - Mean Field approximation in the one-band Hubbard model
• Effect of inhomogeneity on s-wave superconductivity in the attractive Hubbard model
• Parallelized Traveling Cluster Approximation to Study Numerically Spin-Fermion Models on Large Lattices
• Fermi arcs and pseudogap phase in a minimal microscopic model of $d$-wave superconductivity
• s-wave Superconductivity Phase Diagram in the Inhomogeneous Two-Dimensional Attractive Hubbard Model
• Thermal Phase Transition in Two-Dimensional Disordered Superconductors: Kosterlitz-Thouless vs Percolation
• Charge Dynamics Across the Disorder Driven Superconductor-Insulator Transition
• A real space auxiliary field approach to the BCS-BEC crossover
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Superfluid stiffness renormalization and critical temperature enhancement in a composite superconductor
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Study of diamagnetic fluctuations in YBa_2Cu_3O_{7-x} and Bi_2Sr_2CaCu_2O_{8+x}: Possible observation of phase correlations persisting above T_c
• Monte Carlo study of thermal fluctuations and Fermi-arc formation in d-wave superconductors
• Interplay of magnetism and superconductivity in 2D extended Hubbard model
• Nonequilibrium dynamics of superconductivity in the attractive Hubbard model
• Development of long-range phase coherence on the Kondo lattice
• Minimal-size Real Space d-wave Pairing Operator in CuO2 Planes
• Orbital Selective Directional Conductor in the Two Orbital Hubbard Model
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Pauli limited d-wave superconductors: Quantum breached pair phase and thermal transitions
• The impact of speckle disorder on a superfluid Fermi system
• Precursor effects of the superconducting state caused by d-wave phase-fluctuations above Tc
• On the origin of the Fermi arc phenomena in the underdoped cuprates: signature of KT-type superconducting transition
• Spin-orbital liquids and insulator-metal transitions on the pyrochlore lattice
• Effect of site dilution in the two-dimensional attractive Hubbard model
• Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
• Fractionalized Fermi liquids and the cuprate phase diagram
• Thermal fluctuations in superconducting phases with chiral $d+id$ and $s$ symmetry on a triangular lattice
• Pairing properties of cold fermions in the honeycomb lattice
• Superconducting islands, phase fluctuations and the superconductor-insulator transition
• Mott transition and anomalous resistive state in the pyrochlore molybdates
• Radio frequency spectroscopy of the attractive Hubbard model in a trap
• Density Induced Quantum Phase Transitions in Triplet Superconductors
• Transport and spectroscopic signatures of a disorder-stabilized metal in two-dimensional frustrated Mott insulators
• Yamaji effect in models of underdoped cuprates
• Voltage Controlled Switching Phenomenon in Disordered Superconductors
• Magnetic order and transport in a spin-fermion model on a superlattice
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$