Numerical Portrait of a Relativistic Thin Film BCS Superfluid

Abstract

We present results of numerical simulations of the 2+1d Nambu - Jona-Lasinio model with a non-zero baryon chemical potential mu including the effects of a diquark source term. Diquark condensates, susceptibilities and masses are measured as functions of source strength j. The results suggest that diquark condensation does not take place in the high density phase mu>mu_c, but rather that the condensate scales non-analytically with j implying a line of critical points and long range phase coherence. Analogies are drawn with the low temperature phase of the 2d XY model. The spectrum of the spin-1/2 sector is also studied yielding the quasiparticle dispersion relation. There is no evidence for a non-zero gap; rather the results are characteristic of a normal Fermi liquid with Fermi velocity less than that of light. We conclude that the high density phase of the model describes a relativistic gapless thin film BCS superfluid.

37 pages, 16 figures

References in corpus (3)

• Two-colour QCD at non-zero quark-number density
• Superfluid phases of quark matter, II: Phenomenology and sum rules
• The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature

Cited by in corpus (20)

• A lattice theory for low energy fermions at finite chemical potential
• Multi-meson Yukawa interactions at criticality
• Hadron Spectrum in a Two-Colour Baryon-Rich Medium
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Fermion bag solutions to some sign problems in four-fermion field theories
• Evidence for BCS Diquark Condensation in the 3+1d Lattice NJL Model
• Numerical Portrait of a Relativistic BCS Gapped Superfluid
• Three dimensional four-fermion models - A Monte Carlo study
• Fermi Surface Phenomena in the (2+1)d Four-Fermi Model
• QCD at high density/temperature
• Mesonic Wavefunctions in the three-dimensional Gross-Neveu model
• Application of the Maximum Entropy Method to the (2+1)d Four-Fermion Model
• Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance
• Monte Carlo Study of Strongly-Interacting Degenerate Fermions: a Model for Voltage-Biased Bilayer Graphene
• Zero Lattice Sound
• Supercurrent Flow in NJL_{2+1} at High Baryon Density
• Phase diagram of the three-dimensional NJL model
• Fermion bag solutions to some sign problems in four-fermion field theories
• Mass Generation without Phase Coherence at Nonzero Temperature
• Strong Interaction Effects at a Fermi Surface in a Model for Voltage-Biased Bilayer Graphene