Longitudinal magnetic resonance (NMR) in the A/sub 1/ phase of superfluid /sup 3/He

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00681646· OSTI ID:5222258

Monien, H; Tewordt, L

The Ginzburg-Landau theory is used to calculate the distortion of the conventional A/sub 1/- and A/sub 2/-phase order parameters A/sub ..mu..//sub i/ arising from the dipole energy. The nine perturbations deltaA/sub ..mu..//sub i/ are of order g/sub D//eta'Hroughly-equal10/sup -3//H(kG) for ..mu.. = x and y and of order g/sub D//g/sub z/H/sup 2/ for ..mu.. = z. They depend sensitively on the stron coupling corrections. The resulting changes of the up-spin and down-spin pairing amplitudes as functions of T are strongly peaked at T/sub A//sub 2/. The deltaA/sub ..mu..//sub i/ tend to modify the conventional A/sub 1/-phase state into a polar, J/sub z/ = +1, state as T is increased toward T/sub A//sub 1/. The perturbations deltaA/sub ..mu..//sub i/ give rise to small changes of order g/sub D/(g/sub D//eta'H) of all components of Leggett's dipole frequency tensor ..cap omega../sub i/j/sup 2/. The effect on the transverse NMR shift is negligibly small. however, in the A/sub 1/ phase a finite longitudinal NMR frequency ..nu../sub L/ is obtained. The curve of ..nu../sub L/ versus T drops steeply close to T/sub A//sub 2/, and at T/sub A//sub 2/ an inflection point occurs where ..nu../sub L/roughly-equal3 kHz. For T>T/sub c/, ..nu../sub L/ goes almost linearly to zero at T/sub A//sub 1/. Observation of a finite ..nu../sub L/ would be a proof that the A/sub 1/ phase is not a pure condensate of a single equal-spin-pairing (ESP) component: it contains a small amount of the opposite ESP component.

• Research Organization: Abteiling fuer Theoretische Festkoeperphysik, Universitaet Hamburg, Hamburg, West Germany
• OSTI ID: 5222258
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 60:3; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DISTURBANCES
ENERGY
EVEN-ODD NUCLEI
FREE ENERGY
GINZBURG-LANDAU THEORY
HELIUM 3
HELIUM 3 A1
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MAGNETIC RESONANCE
NUCLEAR MAGNETIC RESONANCE
NUCLEI
ORDER PARAMETERS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
RESONANCE
STABLE ISOTOPES
THERMODYNAMIC PROPERTIES