Order parameters and energies of analytic and singular vortex lines in rotating3He-A

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We present the expressions of the generalized Ginzburg-Landau (GL) theory for the free energy and the supercurrent in terms of the d vector, the magnetic field H, and operators containing the spatial gradient and the rotation Ω. These expressions are then specialized to the Anderson-Brinkman-Morel (ABM) state. We consider eight single-vortex lines of cylindrical symmetry and radius R=[2 mΩ/ℏ]-1/2: the Mermin-Ho vortex, a second analytic vortex, and six singular vortices, i.e., the orbital and radial disgyrations, the orbital and radial phase vortices, and two axial phase vortices. These eight vortex states are determined by solving the Euler-Lagrange equations whose solutions minimize the GL free energy functional. For increasing field, the core radius of the {Mathematical expression} texture of the Mermin-Ho vortex tends to a limiting value, while the core radius of the {Mathematical expression} texture goes to zero. The gap of the singular vortices behaves like rα for r → 0, where α ranges between {Mathematical expression} and {Mathematical expression}. The energy of the radial disgyration becomes lower than that of the Mermin-Ho vortex for fields H≥6.5 H*=6.5×25 G (at T=0.99 Tc and for R=10 L*=60 μm, or ω=2.9 rad/sec). For R → 2ξT(ξT is the GL coherence length) or ω →ωc2 (upper critical rotation speed), the energies of the singular vortices become lower than the energies of the analytic vortices. This is in agreement with the exact result of Schopohl for a vortex lattice at Ωc2. Finally, we calculate the correction of order (1 -T/Tc) to the GL gap for the axial phase vortex. © 1982 Plenum Publishing Corporation.
OriginalspracheEnglisch
ZeitschriftJournal of Low Temperature Physics
Jahrgang46
Ausgabenummer1-2
Seiten (von - bis)161-189
Anzahl der Seiten29
ISSN0022-2291
DOIs
PublikationsstatusErschienen - 01.01.1982
Extern publiziertJa

DOI

Zuletzt angesehen

Publikationen

  1. Analytic reproducibility in articles receiving open data badges at the journal Psychological Science
  2. Exploring large vegetation databases to detect temporal trends in species occurrences
  3. Are criminals better lie detectors? Investigating offenders' abilities in the context of deception detection
  4. Effects of maize roots on aggregate stability and enzyme activities in soil
  5. Geometric series with randomly increasing exponents
  6. WHICH ESTIMATION SITUATIONS ARE RELEVANT FOR A VALID ASSESSMENT OF MEASUREMENT ESTIMATION SKILLS
  7. Performance of an IMU-Based Sensor Concept for Solving the Direct Kinematics Problem of the Stewart-Gough Platform
  8. Space Systems Cross-Compatibility
  9. Cross-hedging minimum return guarantees
  10. Fermentative utilization of coffee mucilage using Bacillus coagulans and investigation of down-stream processing of fermentation broth for optically pure L(+)-lactic acid production
  11. rSOESGOPE Method Applied to Four-Tank System Modeling
  12. The role of plant biodiversity in modifying the structure and functioning of higher tropic Levels in species-rich forests
  13. DigiSchreib
  14. Comparison of Software Tools for Liquid Chromatography-High-Resolution Mass Spectrometry Data Processing in Nontarget Screening of Environmental Samples
  15. Guest Editors' Introduction
  16. Polynomial Augmented Extended Kalman Filter to Estimate the State of Charge of Lithium-Ion Batteries
  17. A Model Based Feedforward Regulator Improving PI Control of an Ice-Clamping Device Activated by Thermoelectric Cooler
  18. CSR communication on corporate websites compared across continents
  19. A Besov space mapping property for the double layer potential on polygons