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Title: Cosmiclike domain walls in superfluid /sup 3/He-B: Instantons and diabolical points in (k,r) space

Abstract

The possible planar superfluid B-B boundaries between inequivalent B-phase vacua are considered; such B-B interfaces provide an analogy with the cosmic domain walls that are believed to have precipitated in the phase transitions of the early Universe. Several of them display nontrivial structure in (k,r) space (i.e., the union of the momentum and real spaces). Such a wall represents an instanton connecting two B-phase vacua with different k-space topology. The transition between the vacua occurs through the formation of a pointlike defect either in the (k,r) space, or in the (k,t) space. These defects are so-called diabolical points of codimension 4, at which the fermionic energy tends to zero, thus providing the fermionic zero modes. Such points are new examples (within condensed-matter physics) of the peculiar diabolical points, which are characterized by the occurrence of a contact between the different branches of the quasiparticle spectra; in the present case, the branches of particles and holes, respectively. These points are here discussed for the case of the superfluid phases of liquid /sup 3/He in close analogy with the quantum field theory of fermions interacting with classical bosonic fields. The cosmiclike domain walls in superfluid /sup 3/He-B are observable in principle; inmore » particular, the motion of the superfluid A-B interface is governed at low temperatures by the periodical emission of these topological excitation planes.« less

Authors:
;
Publication Date:
Research Org.:
Low Temperature Laboratory, Helsinki University of Technology, SF-02150 Espoo 15, Finland
OSTI Identifier:
7128395
Resource Type:
Journal Article
Journal Name:
Phys. Rev. B: Condens. Matter; (United States)
Additional Journal Information:
Journal Volume: 37:16
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HELIUM 3 B; DOMAIN STRUCTURE; PHASE STUDIES; COSMOLOGY; GINZBURG-LANDAU THEORY; SUPERFLUIDITY; SYMMETRY BREAKING; USES; EVEN-ODD NUCLEI; HELIUM 3; HELIUM ISOTOPES; ISOTOPES; LIGHT NUCLEI; NUCLEI; STABLE ISOTOPES; 640450* - Fluid Physics- Superfluidity

Citation Formats

Salomaa, M M, and Volovik, G E. Cosmiclike domain walls in superfluid /sup 3/He-B: Instantons and diabolical points in (k,r) space. United States: N. p., 1988. Web. doi:10.1103/PhysRevB.37.9298.
Salomaa, M M, & Volovik, G E. Cosmiclike domain walls in superfluid /sup 3/He-B: Instantons and diabolical points in (k,r) space. United States. doi:10.1103/PhysRevB.37.9298.
Salomaa, M M, and Volovik, G E. Wed . "Cosmiclike domain walls in superfluid /sup 3/He-B: Instantons and diabolical points in (k,r) space". United States. doi:10.1103/PhysRevB.37.9298.
@article{osti_7128395,
title = {Cosmiclike domain walls in superfluid /sup 3/He-B: Instantons and diabolical points in (k,r) space},
author = {Salomaa, M M and Volovik, G E},
abstractNote = {The possible planar superfluid B-B boundaries between inequivalent B-phase vacua are considered; such B-B interfaces provide an analogy with the cosmic domain walls that are believed to have precipitated in the phase transitions of the early Universe. Several of them display nontrivial structure in (k,r) space (i.e., the union of the momentum and real spaces). Such a wall represents an instanton connecting two B-phase vacua with different k-space topology. The transition between the vacua occurs through the formation of a pointlike defect either in the (k,r) space, or in the (k,t) space. These defects are so-called diabolical points of codimension 4, at which the fermionic energy tends to zero, thus providing the fermionic zero modes. Such points are new examples (within condensed-matter physics) of the peculiar diabolical points, which are characterized by the occurrence of a contact between the different branches of the quasiparticle spectra; in the present case, the branches of particles and holes, respectively. These points are here discussed for the case of the superfluid phases of liquid /sup 3/He in close analogy with the quantum field theory of fermions interacting with classical bosonic fields. The cosmiclike domain walls in superfluid /sup 3/He-B are observable in principle; in particular, the motion of the superfluid A-B interface is governed at low temperatures by the periodical emission of these topological excitation planes.},
doi = {10.1103/PhysRevB.37.9298},
journal = {Phys. Rev. B: Condens. Matter; (United States)},
number = ,
volume = 37:16,
place = {United States},
year = {1988},
month = {6}
}