Depression of the superfluid transition in sup 4 He: Renormalization-group theory

Journal Article · Tue Sep 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.6361· OSTI ID:7009754

Haussmann, R; Dohm, V ^[1]

---

1. Institut fuer Theoretische Physik, Technische Hochschule Aachen, D-5100 Aachen (Germany)

We study superfluid {sup 4}He near {ital T}{sub {lambda}} in a homogeneous metastable state where a finite superfluid velocity {ital v}{sub {ital s}} is present. Neglecting vortices we perform a renormalization-group calculation of the superfluid current {ital J}{sub {ital s}}({ital v}{sub {ital s}}) and determine the critical velocity {ital v}{sub {ital s}{ital c}}({ital T}) at which the superfluid state becomes unstable. We apply this result to the situation where the superfluid velocity is induced by a finite heat current {ital Q}. A critical heat current {ital Q}{sub {ital c}}({ital T}) corresponding to {ital v}{sub {ital s}{ital c}}({ital T}) is found which implies a transition temperature {ital T}{sub {lambda}}({ital Q})={ital T}{sub {lambda}}(1{minus}{ital A}{sub 0}{ital Q}{sup {ital x}}) that is lower than {ital T}{sub {lambda}}. We determine the exact exponent {ital x}=(({ital d}{minus}1){nu}){sup {minus}1}{approx}0.744 in {ital d}=3 dimensions and calculate {ital A}{sub 0} in one-loop order. Our results for {ital A}{sub 0} and {ital x} are compared with recent experimental data on the depression {ital T}{sub {lambda}}{minus}{ital T}{sub {lambda}}({ital Q}) of the superfluid transition temperature.

• OSTI ID: 7009754
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 46:10; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL VELOCITY
CURRENT DENSITY
EVEN-EVEN NUCLEI
HEAT FLOW
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PHYSICAL PROPERTIES
STABLE ISOTOPES
SUPERFLUIDITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VELOCITY