772 research outputs found
Magnetic-field-induced Luttinger liquid
It is shown that a strong magnetic field applied to a bulk metal induces a
Luttinger-liquid phase. This phase is characterized by the zero-bias anomaly in
tunneling: the tunneling conductance scales as a power-law of voltage or
temperature. The tunneling exponent increases with the magnetic field as BlnB.
The zero-bias anomaly is most pronounced for tunneling with the field applied
perpendicular to the plane of the tunneling junction.Comment: a reference added, minor typos correcte
Nucleation of superconducting pairing states at mesoscopic scales at zero temperature
We find the spin polarized disordered Fermi liquids are unstable to the
nucleation of superconducting pairing states at mesoscopic scales even when
magnetic fields which polarize the spins are substantially higher than the
critical one. We study the probability of finding superconducting pairing
states at mesoscopic scales in this limit. We find that the distribution
function depends only on the film conductance. The typical length scale at
which pairing takes place is universal, and decreases when the magnetic field
is increased. The number density of these states determines the strength of the
random exchange interactions between mesoscopic pairing states.Comment: 11 pages, no figure
Tunneling of correlated electrons in ultra high magnetic field
Effects of the electron-electron interaction on tunneling into a metal in
ultra-high magnetic field (ultra-quantum limit) are studied. The range of the
interaction is found to have a decisive effect both on the nature of the
field-induced instability of the ground state and on the properties of the
system at energies above the corresponding gap. For a short-range repulsive
interaction, tunneling is dominated by the renormalization of the coupling
constant, which leads eventually to the charge-density wave instability. For a
long-range interaction, there exists an intermediate energy range in which the
conductance obeys a power-law scaling form, similar to that of a 1D Luttinger
liquid. The exponent is magnetic-field dependent, and more surprisingly, may be
positive or negative, i. e., interactions may either suppress or enhance the
tunneling conductance compared to its non-interacting value. At energies near
the gap, scaling breaks down and tunneling is again dominated by the
instability, which in this case is an (anisotropic) Wigner crystal instability.Comment: 4 pages, 2 .eps figure
Generalized Fock spaces and the Stirling numbers
The Bargmann-Fock-Segal space plays an important role in mathematical
physics, and has been extended into a number of directions. In the present
paper we imbed this space into a Gelfand triple. The spaces forming the
Fr\'echet part (i.e. the space of test functions) of the triple are
characterized both in a geometric way and in terms of the adjoint of
multiplication by the complex variable, using the Stirling numbers of the
second kind. The dual of the space of test functions has a topological algebra
structure, of the kind introduced and studied by the first named author and G.
Salomon.Comment: revised versio
Neuroplasticity in cholinergic projections from basal forebrain to the basolateral nucleus of amygdala in the kainic acid model of temporal lobe epilepsy
The amygdala is a cerebral region whose function is compromised in temporal lobe epilepsy (TLE). Patients with TLE present cognitive and emotional dysfunctions, of which impairments in recognizing facial expressions have been clearly attributed to amygdala damage. However, damage to the amygdala has been scarcely addressed, with the majority of studies focusing on the hippocampus. The aim of this study was to evaluate epilepsy-related plasticity of cholinergic projections to the basolateral nucleus (BL) of the amygdala. Adult rats received kainic acid (KA) injections and developed status epilepticus. Weeks later, they showed spontaneous recurrent seizures documented by behavioral observations. Changes in cholinergic innervation of the BL were investigated by using an antibody against the vesicular acetylcholine transporter (VAChT). In KA-treated rats, it was found that (i) the BL shrunk to 25% of its original size (p < 0.01 vs. controls, Student’s t-test), (ii) the density of vesicular acetylcholine transporter-immunoreactive (VAChT-IR) varicosities was unchanged, (iii) the volumes of VAChT-IR cell bodies projecting to the BL from the horizontal limb of the diagonal band of Broca, ventral pallidum, and subcommissural part of the substantia innominata were significantly increased (p < 0.05, Bonferroni correction). These results illustrate significant changes in the basal forebrain cholinergic cells projecting to the BL in the presence of spontaneous recurrent seizures
Many-Body Effects on Tunneling of Electrons in Magnetic-Field-Induced Quasi One-Dimensional Electron Systems in Semiconductor Nanowhiskers
Effects of the electron-electron interaction on tunneling in a semiconductor
nanowhisker are studied in a magnetic quantum limit. We consider the system
with which bulk and edge states coexist. In bulk states, the temperature
dependence of the transmission probability is qualitatively similar to that of
a one-dimensional electron system. We investigate contributions of edge states
on transmission probability in bulk states. Those contributions can be
neglected within our approximation which takes into account only most divergent
terms at low temperatures.Comment: 9 pages, 6 figure
Modification of the standard model for the lanthanides
We show that incorporation of strong electron correlations into the Kohn-Sham
scheme of band structure calculations leads to a modification of the standard
model of the lanthanides and that this procedure removes the existing
discrepancy between theory and experiment concerning the ground state
properties. Within the picture suggested, part of the upper Hubbard -band is
occupied due to conduction band--mixing interaction (that is renormalized
due to correlations) and this contributes to the cohesive energy of the
crystal. The lower Hubbard band has zero width and describes fermionic
excitations in the shell of localized -s. Fully self-consistent calculations
(with respect to both charge density and many-electron population numbers of
the -shell) of the equilibrium volume and the bulk modulus of selected
lanthanides have been performed and a good agreement is obtained.Comment: 1 fi
Unconventional magnetoresistance in long InSb nanowires
Magnetoresistance in long correlated nanowires of degenerate semiconductor
InSb in asbestos matrix (wire diameter of around 5 nm, length 0.1 - 1 mm) is
studied over temperature range 2.3 - 300 K. At zero magnetic field the electric
conduction and the current-voltage characteristics of such wires obey the
power laws , , expected for
one-dimensional electron systems. The effect of magnetic field corresponds to a
20% growth of the exponents , at H=10 T. The observed
magnetoresistance is caused by the magnetic-field-induced breaking of the
spin-charge separation and represents a novel mechanism of magnetoresistance.Comment: To be published in JETP Letters, vol. 77 (2003
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