Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases

Abstract

We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions where spatially varying superfluid phases are favored over homogeneous phases. We obtain estimates for critical values of the temperature, mass and spin imbalance, above which these phases disappear. Finally, we show that an intriguing relation exists between the general structure of the phase diagram and the binding energies of the underlying two-body bound-state problem.

5 pages, 3 figures

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Cited by in corpus (21)

• Inhomogeneous chiral condensates
• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Polarized fermions in one dimension: density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion
• Sarma phase in relativistic and non-relativistic systems
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Superfluid phase transition of nanoscale-confined helium-3
• Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
• Advances in non-relativistic matter via complex Langevin approaches
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation