First-Order Pairing Transition and Single-Particle Spectral Function in the Attractive Hubbard Model

Abstract

A Dynamical Mean Field Theory analysis of the attractive Hubbard model is carried out. We focus on the normal state upon restricting to solutions where superconducting order is not allowed. Nevertheless a clear first-order pairing transition as a function of the coupling takes place at all the electron densities out of half-filling. The transition occurs between a Fermi liquid, stable for $U<U_c$, and an insulating bound pairs phase for $U>U_c$. The spectral function in the Fermi liquid phase is constituted by a low energy structure around the Fermi level (similar to the Kondo resonance of the repulsive half-filled model), which disappears discontinuously at $U=U_c$, and two high energy features (lower and upper Hubbard bands), which persist in the insulating phase.

5 pages, 3 figures, accepted for publication in Physical Review Letters

References in corpus (1)

• Dynamical mean-field theory for pairing and spin gap in the attractive Hubbard model

Cited by in corpus (76)

• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
• Energetic balance of the superconducting transition across the BCS-Bose E instein crossover in the attractive Hubbard model
• Pairing and Superconductivity from weak to strong coupling in the Attractive Hubbard model
• Quantum Simulation of the Hubbard Model: The Attractive Route
• BCS - BEC crossover at T=0: A Dynamical Mean Field Theory Approach
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• When Superconductivity Crosses Over: From BCS to BEC
• Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model
• Charge disproportionation, mixed valence, and Janus effect in multiorbital systems: A tale of two insulators
• Neutron matter on the lattice with pionless effective field theory
• Low temperature properties of the infinite-dimensional attractive Hubbard model
• Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model
• Exciton Mott transition revisited
• Local origin of the pseudogap in the attractive Hubbard model
• Quantum Monte Carlo study of the 3D attractive Hubbard model
• Dynamical vertex approximation for the attractive Hubbard model
• Superconductivity and Pairing Fluctuations in the Half-Filled Two-Dimensional Hubbard Model
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
• Efficient variational approach to the impurity problem and its application to the dynamical mean-field theory
• Supersolid state of ultracold fermions in an optical lattice
• Competing superfluid and density-wave ground-states of fermionic mixtures with mass imbalance in optical lattices
• Potential-energy (BCS) to kinetic-energy (BEC)-driven pairing in the attractive Hubbard model
• Superconductivity in the two-band Hubbard model
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Mott transition of fermionic mixtures with mass imbalance in optical lattices
• Excitonic BCS-BEC crossover at finite temperature: Effects of repulsion and electron-hole mass difference
• Supersolid state in fermionic optical lattice systems
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• LDA+DMFT approach to ordering phenomena and the structural stability of correlated materials
• Low temperature properties of the fermionic mixtures with mass imbalance in optical lattice
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model
• Ground-state fidelity in the BCS-BEC crossover
• Quasiparticle excitations and dynamic susceptibilities in the BCS-BEC crossover
• Population imbalanced lattice fermions near the BCS-BEC crossover: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• Strong coupling s-wave superconductors in the extreme Pauli limit: I.The breached pair and metastable FFLO phases
• Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices
• Phase diagram for the exciton Mott transition in infinite-dimensional electron-hole systems
• Quasiparticle properties of strongly correlated electron systems with itinerant metamagnetic behavior
• Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model
• Finite-density corrections to the Unitary Fermi gas: A lattice perspective from Dynamical Mean-Field Theory
• Hidden fermionic excitation in the superconductivity of the strongly attractive Hubbard model
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Holon-Doublon Binding as the Mechanism for the Mott transition
• Stability of the Superfluid State in Three-Component Fermionic Optical Lattice Systems
• A real space auxiliary field approach to the BCS-BEC crossover
• Comment on ``BCS to Bose-Einstein crossover phase diagram at zero temperature for a d_{x^2-y^2} order parameter superconductor: Dependence on the tight-binding structure''
• Repulsive vs. attractive Hubbard model: transport properties and spin-lattice relaxation rate
• Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model
• Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance
• Surface Polaron Formation in the Holstein model
• Multiband-Driven Superfluid-Insulator Transition of Fermionic Atoms in Optical Lattices: A Dynamical Mean-Field-Theory Study
• Mott transitions in the Hubbard model with spatially-modulated interactions
• Interface and bulk superconductivity in superconducting heterostructures with enhanced critical temperatures
• BCS-BEC Crossover in the Two-Dimensional Attractive Hubbard Model: Variational Cluster Approach
• Variational Monte Carlo Study of Spin-Gapped Normal State and BCS-BEC Crossover in Two-Dimensional Attractive Hubbard Model
• Metallic surface of a bipolaronic insulator
• Polarized superfluid state in a three-dimensional fermionic optical lattice
• Coexistence of $s$-wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions
• Superfluid to insulator phase transition in a unitary Fermi gas
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Exotic Superconductivity in the Extended Attractive Hubbard Model
• Insulator-pseudogap crossover in the Lieb lattice
• Dynamical Mean-Field Theory description of the voltage induced transition in a non-equilibrium superconductor
• Spin Seebeck coefficient and spin-thermal diffusion in the two-dimensional Hubbard model
• Dynamical mean-field approximation for unitary Fermi gas
• Pairing and polarization in systems with retarded interactions
• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Embedding Dynamical Mean-Field Theory for Superconductivity in Layered Materials and Heterostructures
• Effect of Fibonacci Modulation On Superconductivity
• Metal-Insulator transition in optical lattice system with site-dependent interactions
• Superconductor-Insulator transition in a two-orbital attractive Hubbard model with Hund's exchange