BCSBEC crossover and quantum hydrodynamics in pwave superfluids with a symmetry of the A1 phase
Abstract
We solve the Leggett equations for the BCSBEC crossover in a three dimensional resonance pwave 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 SchmittRink 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 atmore »
 Authors:

 Kapitza Institute for Physical Problems (Russian Federation)
 Publication Date:
 OSTI Identifier:
 21455270
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Experimental and Theoretical Physics
 Additional Journal Information:
 Journal Volume: 110; Journal Issue: 3; Other Information: DOI: 10.1134/S1063776110030064; Copyright (c) 2010 Pleiades Publishing, Ltd.; Journal ID: ISSN 10637761
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BCS THEORY; BOSEEINSTEIN 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; THREEDIMENSIONAL CALCULATIONS; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; EVENODD 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
Citation Formats
Kagan, M. Yu., Email: kagan@kapitza.ras.ru, and Efremov, D V. BCSBEC crossover and quantum hydrodynamics in pwave superfluids with a symmetry of the A1 phase. United States: N. p., 2010.
Web. doi:10.1134/S1063776110030064.
Kagan, M. Yu., Email: kagan@kapitza.ras.ru, & Efremov, D V. BCSBEC crossover and quantum hydrodynamics in pwave superfluids with a symmetry of the A1 phase. United States. https://doi.org/10.1134/S1063776110030064
Kagan, M. Yu., Email: kagan@kapitza.ras.ru, and Efremov, D V. Mon .
"BCSBEC crossover and quantum hydrodynamics in pwave superfluids with a symmetry of the A1 phase". United States. https://doi.org/10.1134/S1063776110030064.
@article{osti_21455270,
title = {BCSBEC crossover and quantum hydrodynamics in pwave superfluids with a symmetry of the A1 phase},
author = {Kagan, M. Yu., Email: kagan@kapitza.ras.ru and Efremov, D V},
abstractNote = {We solve the Leggett equations for the BCSBEC crossover in a three dimensional resonance pwave 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 SchmittRink 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.},
doi = {10.1134/S1063776110030064},
url = {https://www.osti.gov/biblio/21455270},
journal = {Journal of Experimental and Theoretical Physics},
issn = {10637761},
number = 3,
volume = 110,
place = {United States},
year = {2010},
month = {3}
}