BCS-BEC crossover and quantum hydrodynamics in p-wave superfluids with a symmetry of the A1 phase

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776110030064· OSTI ID:21455270

Efremov, D V ^[1]

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1. Kapitza Institute for Physical Problems (Russian Federation)

We solve the Leggett equations for the BCS-BEC crossover in a three dimensional resonance p-wave superfluid with the symmetry of the A1 phase. We calculate the sound velocity, the normal density, and the specific heat for the BCS domain ({mu} > 0), for the BEC domain ({mu} < 0), and close to the important point {mu} = 0 in the 100% polarized case. We find the indications of a quantum phase transition close to the point {mu}(T = 0) = 0. Deep in the BCS and BEC domains, the crossover ideas of Leggett, Nozieres, and Schmitt-Rink work quite well. We discuss the spectrum of orbital waves, the paradox of intrinsic angular momentum and the complicated problem of chiral anomaly in the BCS A1 phase at T = 0. We present two different approaches to the chiral anomaly, based on supersymmetric hydrodynamics and on the formal analogy with the Dirac equation in quantum electrodynamics. We evaluate the damping of nodal fermions due to different decay processes in the superclean case at T = 0 and find that a ballistic regime {omega}{tau} >> 1 occurs. We propose to use aerogel or nonmagnetic impurities to reach the hydrodynamic regime {omega}{tau} << 1 at T = 0. We discuss the concept of the spectral flow and exact cancelations between time derivatives of anomalous and quasiparticle currents in the equation for the total linear momentum conservation. We propose to derive and solve the kinetic equation for the nodal quasiparticles in both the hydrodynamic and ballistic regimes to demonstrate this cancelation explicitly. We briefly discuss the role of the other residual interactions different from damping and invite experimentalists to measure the spectrum and damping of orbital waves in the A phase of {sup 3}He at low temperatures.

• OSTI ID: 21455270
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 110, Issue 3; Other Information: DOI: 10.1134/S1063776110030064; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BCS THEORY
BOSE-EINSTEIN CONDENSATION
CHIRALITY
DAMPING
DIRAC EQUATION
FERMIONS
HELIUM 3
HYDRODYNAMICS
KINETIC EQUATIONS
LINEAR MOMENTUM
P WAVES
PHASE TRANSFORMATIONS
QUANTUM ELECTRODYNAMICS
QUANTUM FLUIDS
QUASI PARTICLES
RESIDUAL INTERACTIONS
SOUND WAVES
SPECIFIC HEAT
SUPERFLUIDITY
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
EVEN-ODD NUCLEI
FIELD EQUATIONS
FIELD THEORIES
FLUID MECHANICS
FLUIDS
HELIUM ISOTOPES
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MECHANICS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
STABLE ISOTOPES
SYMMETRY
THERMODYNAMIC PROPERTIES
WAVE EQUATIONS