3,925 research outputs found
Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors
We briefly review the nonlinear sigma model approach for the subject of
increasing interest: "two-step" phase transitions in the Gross-Neveu and the
modified Nambu-Jona-Lasinio models at low and condensation from pseudogap
phase in strong-coupling superconductors. Recent success in describing
"Bose-type" superconductors that possess two characterstic temperatures and a
pseudogap above is the development approximately comparable with the BCS
theory. One can expect that it should have influence on high-energy physics,
similar to impact of the BCS theory on this subject. Although first
generalizations of this concept to particle physics were made recently, these
results were not systematized. In this review we summarize this development and
discuss similarities and differences of the appearence of the pseudogap phase
in superconductors and the Gross-Neveu and Nambu-Jona-Lasinio - like models. We
discuss its possible relevance for chiral phase transition in QCD and color
superconductors. This paper is organized in three parts: in the first section
we briefly review the separation of temperatures of pair formation and pair
condensation in strong - coupling and low carrier density superconductors (i.e.
the formation of the {\it pseudogap phase}).
Second part is a review of nonlinear sigma model approach to an analogous
phenomenon in the Chiral Gross-Neveu model at small N. In the third section we
discuss the modified Nambu-Jona-Lasinio model where the chiral phase transition
is accompanied by a formation of a phase analogous to the pseudogap phase.Comment: A brief review. Replaced with journal version (some grammatical
corrections). The latest updates of this and related papers are also
available at the author home page http://www.teorfys.uu.se/PEOPLE/egor
Dual neutral variables and knot solitons in triplet superconductors
In this paper we derive a dual presentation of free energy functional for
spin-triplet superconductors in terms of gauge-invariant variables. The
resulting equivalent model in ferromagnetic phase has a form of a version of
the Faddeev model. This allows one in particular to conclude that spin-triplet
superconductors allow formation of stable finite-length closed vortices (the
knotted solitons).Comment: Replaced with version published in PRL (added a discussion of the
effect of the coupling of the fields {\vec s} and {\vec C} on knot
stability). Latest updates of the paper and miscellaneous links related to
knotted solitons are also available at the homepage of the author
http://www.teorfys.uu.se/PEOPLE/egor/ . Animations of knotted solitons by
Hietarinta and Salo are available at
http://users.utu.fi/h/hietarin/knots/c45_p2.mp
Thermodynamics of Crossover from Weak- to Strong-Coupling Superconductivity
In this paper we study an evolution of low-temperature thermodynamical
quantities for an electron gas with a -function attraction as the
system crosses over from weak-coupling (BCS-type) to strong-coupling
(Bose-type) superconductivity in three and two dimensions.Comment: Replaced with journal version. Insignificant presentation changes.
Links to related papers are also available at the author home page
http://www.teorfys.uu.se/PEOPLE/egor
Characteristic length scales and formation of vortices in the Abelian Higgs model in the presence of a uniform background charge
In this brief report we consider a non-local Abelian Higgs model in the
presence of a neutralizing uniform background charge. We show that such a
system possesses vortices which key feature is a strong radial electric field.
We estimate the basic properties of such an object and characteristic length
scales in this model.Comment: Replaced with journal version. Some minor change
Non-London electrodynamics in a multiband London model: Anisotropy-induced nonlocalities and multiple magnetic field penetration lengths
The London model describes strongly type-2 superconductors as massive vector field theories, where the magnetic field decays exponentially at the length scale of the London penetration length. This also holds for isotropic multiband extensions, where the presence of multiple bands merely renormalizes the London penetration length. We show that, by contrast, the magnetic properties of anisotropic multiband London models are not this simple, and the anisotropy leads to the interband phase differences becoming coupled to the magnetic field. This results in the magnetic field in such systems having N+1 penetration lengths, where N is the number of field components or bands. That is, in a given direction, the magnetic field decay is described by N+1 modes with different amplitudes and different decay length scales. For certain anisotropies we obtain magnetic modes with complex masses. That means that magnetic field decay is not described by a monotonic exponential increment set by a real penetration length but instead is oscillating. Some of the penetration lengths are shown to diverge away from the superconducting phase transition when the mass of the phase-difference mode vanishes. Finally the anisotropy-driven hybridization of the London mode with the Leggett modes can provide an effectively nonlocal magnetic response in the nominally local London model. Focusing on the two-component model, we discuss the magnetic field inversion that results from the effective nonlocality, both near the surface of the superconductor and around vortices. In the regime where the magnetic field decay becomes nonmonotonic, the multiband London superconductor is shown to form weakly-bound states of vortices
Thermoelectric power of nondegenerate Kane semiconductors under the conditions of mutual electron-phonon drag in a high electric field
The thermoelectric power of nondegenerate Kane semiconductors with due regard
for the electron and phonon heating, and their thermal and mutual drags is
investigated. The electron spectrum is taken in the Kane two-band form. It is
shown that the nonparabolicity of electron spectrum significantly influences
the magnitude of the thermoelectric power and leads to a change of its sign and
dependence on the heating electric field. The field dependence of the
thermoelectric power is determined analytically under various drag conditions.Comment: 25 pages, RevTex formatted, 3 table
Charmonia above the Deconfinement Phase Transition
Analyzing correlation functions of charmonia at finite temperature () on
anisotropic lattices by the maximum entropy method (MEM),
we find that and survive as distinct resonances in the plasma
even up to and that they eventually dissociate between and ( is the critical temperature of deconfinement). This
suggests that the deconfined plasma is non-perturbative enough to hold
heavy-quark bound states. The importance of having sufficient number of
temporal data points in the MEM analysis is also emphasized.Comment: Lattice2003(nonzero), 3 pages, 3 figure
Baryonic Bound State of Vortices in Multicomponent Superconductors
We construct a bound state of three 1/3-quantized Josephson coupled vortices
in three-component superconductors with intrinsic Josephson couplings, which
may be relevant with regard to iron-based superconductors. We find a Y-shaped
junction of three domain walls connecting the three vortices, resembling the
baryonic bound state of three quarks in QCD. The appearance of the Y-junction
(but not a Delta-junction) implies that in both cases of superconductors and
QCD, the bound state is described by a genuine three-body interaction (but not
by the sum of two-body interactions). We also discuss a
confinement/deconfinement phase transition.Comment: 11 pages, 3 figures, one section on confinement/deconfinement
transition added, published versio
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