Fulde-Ferrell-Larkin-Ovchinnikov pairing as leading instability on the square lattice

Abstract

We study attractively interacting spin-1/2 fermions on the square lattice subject to a spin population imbalance. Using unbiased diagrammatic Monte Carlo simulations we find an extended region in the parameter space where the Fermi liquid is unstable towards formation of Cooper pairs with non-zero center-of-mass momentum, known as the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. In contrast to earlier mean-field and quasi-classical studies we provide quantitative and well-controlled predictions on the existence and location of the relevant Fermi-liquid instabilities. The highest temperature where the FFLO instability can be observed is about half of the superfluid transition temperature in the unpolarized system.

7 pages, 4 figures; v2: improved references and discussion, added calculations with larger cutoff order that corroborate our earlier results

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Cited by in corpus (19)

• Site-resolved imaging of a fermionic Mott insulator
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Quantum gas microscopy of an attractive Fermi-Hubbard system
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Non-Fermi liquid at the FFLO quantum critical point
• Exotic Superfluid Phases in Spin Polarized Systems on Optical Lattices
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
• Superfluid weight and Berezinskii-Kosterlitz-Thouless temperature of spin-imbalanced and spin-orbit-coupled Fulde-Ferrell phases in lattice systems
• Grassmannization of classical models
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Stabilising Fulde-Ferrel-Larkin-Ovchinnikov Superfluidity with long-range Interactions in a mixed dimensional Bose-Fermi System
• A universal pairing gap measurement proposal by dynamical excitations in 2D doped attractive Fermi-Hubbard model with spin-orbit coupling
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
• Strong Fulde-Ferrell Larkin-Ovchinnikov pairing fluctuations in polarized Fermi systems
• Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices
• Finite momentum condensate brought on by Zeeman field