29 research outputs found
Interaction-Induced Magnetization of the Two-Dimensional Electron Gas
We consider the contribution of electron-electron interactions to the orbital
magnetization of a two-dimensional electron gas, focusing on the ballistic
limit in the regime of negligible Landau-level spacing. This regime can be
described by combining diagrammatic perturbation theory with semiclassical
techniques. At sufficiently low temperatures, the interaction-induced
magnetization overwhelms the Landau and Pauli contributions. Curiously, the
interaction-induced magnetization is third-order in the (renormalized) Coulomb
interaction. We give a simple interpretation of this effect in terms of
classical paths using a renormalization argument: a polygon must have at least
three sides in order to enclose area. To leading order in the renormalized
interaction, the renormalization argument gives exactly the same result as the
full treatment.Comment: 11 pages including 4 ps figures; uses revtex and epsf.st
Spectral statistics of disordered metals in the presence of several Aharonov-Bohm fluxes
The form factor for spectral correlations in a diffusive metal is calculated
in the presence of several Aharonov-Bohm fluxes. When the fluxes are
equal, the correlations are universal functions of where is
the dimensionless conductance and is the number of applied fluxes. This
explains recent flux dependence of the correlations found numerically at the
metal-insulator transition.Comment: 3 pages, Latex, 1 figure, to appear in Phys. Rev. B Rapid Com
Magneto-polarisability of mesoscopic systems
In order to understand how screening is modified by electronic interferences
in a mesoscopic isolated system, we have computed both analytically and
numerically the average thermodynamic and time dependent polarisabilities of
two dimensional mesoscopic samples in the presence of an Aharonov-Bohm flux.
Two geometries have been considered: rings and squares. Mesoscopic correction
to screening are taken into account in a self consistent way, using the
response function formalism. The role of the statistical ensemble (canonical
and grand canonical), disorder and frequency have been investigated. We have
also computed first order corrections to the polarisability due to
electron-electron interactions. Our main results concern the diffusive regime.
In the canonical ensemble, there is no flux dependence polarisability when the
frequency is smaller than the level spacing. On the other hand, in the grand
canonical ensemble for frequencies larger than the mean broadening of the
energy levels (but still small compared to the level spacing), the
polarisability oscillates with flux, with the periodicity . The order of
magnitude of the effect is given by , where is the Thomas Fermi screening length, the
width of the rings or the size of the squares and their average
dimensionless conductance. This magnetopolarisability of Aharonov-Bohm rings
has been recently measured experimentally \cite{PRL_deblock00} and is in good
agreement with our grand canonical result.Comment: 12 pages, 10 figures, revte
Persistent currents in diffusive metallic cavities: Large values and anomalous scaling with disorder
The effect of disorder on confined metallic cavities with an Aharonov-Bohm
flux line is addressed. We find that, even deep in the diffusive regime, large
values of persistent currents may arise for a wide variety of geometries. We
present numerical results supporting an anomalous scaling law of the average
typical current with the strength of disorder , with . This is contrasted with previously
reported results obtained for cylindrical samples where a scaling has been found. Possible links to, up to date, unexplained
experimental data are finally discussed.Comment: 5 pages, 4 figure
Short-range interactions in a two-electron system: energy levels and magnetic properties
The problem of two electrons in a square billiard interacting via a
finite-range repulsive Yukawa potential and subjected to a constant magnetic
field is considered. We compute the energy spectrum for both singlet and
triplet states, and for all symmetry classes, as a function of the strength and
range of the interaction and of the magnetic field. We show that the
short-range nature of the potential suppresses the formation of ``Wigner
molecule'' states for the ground state, even in the strong interaction limit.
The magnetic susceptibility shows low-temperature paramagnetic peaks
due to exchange induced singlet-triplet oscillations. The position, number and
intensity of these peaks depend on the range and strength of the interaction.
The contribution of the interaction to the susceptibility displays paramagnetic
and diamagnetic phases as a function of .Comment: 12 pages,6 figures; to appear in Phys. Rev.
Meissner effect in a bosonic ladder
We investigate the effect of a magnetic field on a bosonic ladder. We show
that such a system leads to the one dimensional equivalent of a vortex lattice
in a superconductor. We investigate the physical properties of the vortex
phase, such as vortex density and vortex correlation functions and show that
magnetization has plateaus for some commensurate values of the mag netic field.
The lowest plateau corresponds to a true Meissner to vortex transition at a
critical field that exists although the system has no long range
superconducting order. Implications for experimental realizations such as
Josephson junction arrays are discussed.Comment: 4 pages, 2 Encapsulated Postscript figures, RevTe
Current-spin-density functional study of persistent currents in quantum rings
We present a numerical study of persistent currents in quantum rings using
current spin density functional theory (CSDFT). This formalism allows for a
systematic study of the joint effects of both spin, interactions and impurities
for realistic systems. It is illustrated that CSDFT is suitable for describing
the physical effects related to Aharonov-Bohm phases by comparing energy
spectra of impurity-free rings to existing exact diagonalization and
experimental results. Further, we examine the effects of a symmetry-breaking
impurity potential on the density and current characteristics of the system and
propose that narrowing the confining potential at fixed impurity potential will
suppress the persistent current in a characteristic way.Comment: 7 pages REVTeX, including 8 postscript figure
Collective dynamics of internal states in a Bose gas
Theory for the Rabi and internal Josephson effects in an interacting Bose gas
in the cold collision regime is presented. By using microscopic transport
equation for the density matrix the problem is mapped onto a problem of
precession of two coupled classical spins. In the absence of an external
excitation field our results agree with the theory for the density induced
frequency shifts in atomic clocks. In the presence of the external field, the
internal Josephson effect takes place in a condensed Bose gas as well as in a
non-condensed gas. The crossover from Rabi oscillations to the Josephson
oscillations as a function of interaction strength is studied in detail.Comment: 18 pages, 2 figure
Dynamics of short time--scale energy relaxation of optical excitations due to electron--electron scattering in the presence of arbitrary disorder
A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac
distribution due to electron--electron scattering even in finite Fermi systems.
The dynamic evolution of this thermalization process assumed to result from an
optical excitation is investigated numerically by solving a Boltzmann equation
for the carrier populations using a one--dimensional disordered system. We
focus on the short time--scale behavior. The logarithmically long time--scale
associated with the glassy behavior of interacting electrons in disordered
systems is not treated in our investigation.
For weak disorder and short range interaction we recover the expected result
that disorder enhances the relaxation rate as compared to the case without
disorder. For sufficiently strong disorder, however, we find an opposite trend
due to the reduction of scattering probabilities originating from the strong
localization of the single--particle states. Long--range interaction in this
regime produces a similar effect. The relaxation rate is found to scale with
the interaction strength, however, the interplay between the implicit and the
explicit character of the interaction produces an anomalous exponent.Comment: 4 pages, 3 EPS figure
Electromagnetic superconductivity of vacuum induced by strong magnetic field
The quantum vacuum may become an electromagnetic superconductor in the
presence of a strong external magnetic field of the order of 10^{16} Tesla. The
magnetic field of the required strength (and even stronger) is expected to be
generated for a short time in ultraperipheral collisions of heavy ions at the
Large Hadron Collider. The superconducting properties of the new phase appear
as a result of a magnetic-field-assisted condensation of quark-antiquark pairs
with quantum numbers of electrically charged rho mesons. We discuss
similarities and differences between the suggested superconducting state of the
quantum vacuum, a conventional superconductivity and the Schwinger pair
creation. We argue qualitatively and quantitatively why the superconducting
state should be a natural ground state of the vacuum at the sufficiently strong
magnetic field. We demonstrate the existence of the superconducting phase using
both the Nambu-Jona-Lasinio model and an effective bosonic model based on the
vector meson dominance (the rho-meson electrodynamics). We discuss various
properties of the new phase such as absence of the Meissner effect, anisotropy
of superconductivity, spatial inhomogeneity of ground state, emergence of a
neutral superfluid component in the ground state and presence of new
topological vortices in the quark-antiquark condensates.Comment: 37 pages, 14 figures, to appear in Lect. Notes Phys. "Strongly
interacting matter in magnetic fields" (Springer), edited by D. Kharzeev, K.
Landsteiner, A. Schmitt, H.-U. Ye