p-wave Superfluidity by Spin-Nematic Fermi Surface Deformation

Abstract

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for unconventional types of order. Unbiased sampling of the Feynman diagrammatic series using Diagrammatic Monte Carlo methods reveals a rich phase diagram in the regime of intermediate coupling strength. Instead of a proposed Cooper-pair Bose metal phase [A. E. Feiguin and M. P. A. Fisher, Phys. Rev. Lett. 103, 025303 (2009)] we find an incommensurate density wave at strong anisotropy and two different p-wave superfluid states with unconventional symmetry at intermediate anisotropy.

published version, supplemental material included as appendix, 4+4 pages, 5+7 figures

References in corpus (12)

• The ALPS project release 1.3: open source software for strongly correlated systems
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Fermi liquid instabilities in the spin channel
• Feynman diagrams versus Fermi-gas Feynman emulator
• Diagrammatic Monte Carlo
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• Diagrammatic Monte Carlo for Correlated Fermions
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Critical temperature for the two-dimensional attractive Hubbard Model
• Unconventional metamagnetic electron states in orbital band systems
• Exotic paired states with anisotropic spin-dependent Fermi surfaces
• Exotic paired phases in ladders with spin-dependent hopping

Cited by in corpus (21)

• Determinant Diagrammatic Monte Carlo in the Thermodynamic Limit
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
• Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
• A Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
• Exchange-correlation effect in the charge response of a warm dense electron gas
• Diagrammatic Monte Carlo algorithm for the resonant Fermi gas
• Quantum Monte Carlo study of mass-imbalanced Hubbard models
• Fulde-Ferrell-Larkin-Ovchinnikov pairing as leading instability on the square lattice
• Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems
• Phase-modulated superconductivity via altermagnetism
• Spin and pair density waves in 2D altermagnetic metals
• Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
• Unconventional superconductivity of an altermagnetic metal: Polarized BCS and inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• Grassmannization of classical models
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Ising Antiferromagnet in the 2D Hubbard Model with Mismatched Fermi Surfaces
• Fermionic Sign Structure of High-order Feynman diagrams in a Many-fermion System
• Evaluating second-order phase transitions with Diagrammatic Monte Carlo: Néel Transition in the doped three-dimensional Hubbard model
• Interplay of mass imbalance and frustration in correlated band insulators