3,874 research outputs found
Effect of conduction electron interactions on Anderson impurities
The effect of conduction electron interactions for an Anderson impurity is
investigated in one dimension using a scaling approach. The flow diagrams are
obtained by solving the renormalization group equations numerically. It is
found that the Anderson impurity case is different from its counterpart -- the
Kondo impurity case even in the local moment region. The Kondo temperature for
an Anderson impurity shows nonmonotonous behavior, increasing for weak
interactions but decreasing for strong interactions. The implication of the
study to other related impurity models is also discussed.Comment: 10 pages, revtex, 4 figures (the postscript file is included), to
appear in Phys. Rev. B (Rapid Commun.
Pumping in an interacting quantum wire
We study charge and spin pumping in an interacting one-dimensional wire. We
show that a spatially periodic potential modulated in space and time acts as a
quantum pump inducing a dc-current component at zero bias. The current
generated by the pump is strongly affected by the interactions. It has a power
law dependence on the frequency or temperature with the exponent determined by
the interaction in the wire, while the coupling to the pump affects the
amplitudes only. We also show that pure spin-pumping can be achieved, without
the presence of a magnetic field.Comment: 13 pages,2 figure
Corona of Magnetars
We develop a theoretical model that explains the formation of hot coronae
around strongly magnetized neutron stars -- magnetars. The starquakes of a
magnetar shear its external magnetic field, which becomes non-potential and is
threaded by an electric current. Once twisted, the magnetosphere cannot untwist
immediately because of its self-induction. The self-induction electric field
lifts particles from the stellar surface, accelerates them, and initiates
avalanches of pair creation in the magnetosphere. The created plasma corona
maintains the electric current demanded by curl(B) and regulates the
self-induction e.m.f. by screening. This corona persists in dynamic
equilibrium: it is continually lost to the stellar surface on the
light-crossing time of 10^{-4} s and replenished with new particles. In
essence, the twisted magnetosphere acts as an accelerator that converts the
toroidal field energy to particle kinetic energy. Using a direct numerical
experiment, we show that the corona self-organizes quickly (on a millisecond
timescale) into a quasi-steady state, with voltage ~1 GeV along the magnetic
lines. The heating rate of the corona is ~10^{36} erg/s, in agreement with the
observed persistent, high-energy output of magnetars. We deduce that a static
twist that is suddenly implanted into the magnetosphere will decay on a
timescale of 1-10 yrs. The particles accelerated in the corona impact the solid
crust, knock out protons, and regulate the column density of the hydrostatic
atmosphere of the star. The transition layer between the atmosphere and the
corona is the likely source of the observed 100-keV emission from magnetars.
The corona emits curvature radiation and can supply the observed IR-optical
luminosity. (Abridged)Comment: 70 pages, 14 figures, accepted to Ap
Mixed-valent regime of the two-channel Anderson impurity as a model for UBe_13
We investigate the mixed-valent regime of a two-configuration Anderson
impurity model for uranium ions, with separate quadrupolar and magnetic
doublets. With a new Monte Carlo approach and the non-crossing approximation we
find: (i) A non-Fermi-liquid fixed point with two-channel Kondo model critical
behavior; (ii) Distinct energy scales for screening the low-lying and excited
doublets; (iii) A semi-quantitative explanation of magnetic-susceptibility data
for UThBe assuming 60-70% quadrupolar doublet ground-state
weight, supporting the quadrupolar-Kondo interpretation.Comment: 4 Pages, 3 eps figures; submitted to Phys. Rev. Let
Phase Diagram Of A Hard-sphere System In A Quenched Random Potential: A Numerical Study
We report numerical results for the phase diagram in the density-disorder
plane of a hard sphere system in the presence of quenched, random, pinning
disorder. Local minima of a discretized version of the Ramakrishnan-Yussouff
free energy functional are located numerically and their relative stability is
studied as a function of the density and the strength of disorder. Regions in
the phase diagram corresponding to liquid, glassy and nearly crystalline states
are mapped out, and the nature of the transitions is determined. The liquid to
glass transition changes from first to second order as the strength of the
disorder is increased. For weak disorder, the system undergoes a first order
crystallization transition as the density is increased. Beyond a critical value
of the disorder strength, this transition is replaced by a continuous glass
transition. Our numerical results are compared with those of analytical work on
the same system. Implications of our results for the field-temperature phase
diagram of type-II superconductors are discussed.Comment: 14 pages, 10 postscript figures (included), submitted to Phys. Rev.
Universality class of non-Fermi liquid behavior in mixed valence systems
A generalized Anderson single-impurity model with off-site Coulomb
interactions is derived from the extended three-band Hubbard model, originally
proposed to describe the physics of the copper-oxides. Using the abelian
bosonization technique and canonical transformations, an effective Hamiltonian
is derived in the strong coupling limit, which is essentially analogous to the
Toulouse limit of the ordinary Kondo problem. In this limit, the effective
Hamiltonian can be exactly solved, with a mixed valence quantum critical point
separating two different Fermi liquid phases, {\it i.e.} the Kondo phase and
the empty orbital phase. In the mixed valence quantum critical regime, the
local moment is only partially quenched and X-ray edge singularities are
generated. Around the quantum critical point, a new type of non-Fermi liquid
behavior is predicted with an extra specific heat and a
singular spin-susceptibility . At the same time, the
effective Hamiltonian under single occupancy is transformed into a
resonant-level model, from which the correct Kondo physical properties
(specific heat, spin susceptibility, and an enhanced Wilson ratio) are easily
rederived. Finally, a brief discussion is given to relate these theoretical
results to observations in () alloys, which show
single-impurity critical behavior consistent with our predictions.Comment: 26 pages, revtex, no figure. Some corrections have been made, but the
basic results are kept. To be published in Physical Review
Field emission from Luttinger liquids and single-wall carbon nanotubes
We develop a theory for the field emission effect in Luttinger liquids and
single-wall carbon nanotubes at the level of the energy resolved current
distribution. We generalise Fowler-Nordheim relations. Just below the Fermi
edge, we find a power-law vanishing current distribution with the density of
states exponent. The current distribution above the Fermi edge owes its
existence to a peculiar interplay of interactions and correlated tunnelling. It
displays a non-trivial power-law divergence just above the Fermi energy.Comment: 4 pages, 2 figures (eps files
Multi-particle effects in non-equilibrium electron tunnelling and field emission
We investigate energy resolved electric current from various correlated host
materials under out-of-equilibrium conditions. We find that, due to a combined
effect of electron-electron interactions, non-equilibrium and multi-particle
tunnelling, the energy resolved current is finite even above the Fermi edge of
the host material. In most cases, the current density possesses a singularity
at the Fermi level revealing novel manifestations of correlation effects in
electron tunnelling. By means of the Keldysh non-equilibrium technique, the
current density is calculated for one-dimensional interacting electron systems
and for two-dimensional systems, both in the pure limit and in the presence of
disorder. We then specialise to the field emission and provide a comprehensive
theoretical study of this effect in carbon nanotubes.Comment: 22 pages, 8 figures (eps files
The electronic properties of bilayer graphene
We review the electronic properties of bilayer graphene, beginning with a
description of the tight-binding model of bilayer graphene and the derivation
of the effective Hamiltonian describing massive chiral quasiparticles in two
parabolic bands at low energy. We take into account five tight-binding
parameters of the Slonczewski-Weiss-McClure model of bulk graphite plus intra-
and interlayer asymmetry between atomic sites which induce band gaps in the
low-energy spectrum. The Hartree model of screening and band-gap opening due to
interlayer asymmetry in the presence of external gates is presented. The
tight-binding model is used to describe optical and transport properties
including the integer quantum Hall effect, and we also discuss orbital
magnetism, phonons and the influence of strain on electronic properties. We
conclude with an overview of electronic interaction effects.Comment: review, 31 pages, 15 figure
Exact solution of a spin-ladder model
An integrable spin-ladder model with nearest-neighbor exchanges and
biquadratic interactions is proposed. With the Bethe ansatz solutions of the
model hamiltonian, it is found that there are three possible phases in the
ground state, i.e., a rung-dimerized phase with a spin gap, and two massless
phases. The possible fixed points of the system and the quantum critical
behavior at the critical point are discussed.Comment: 6page Revtex, no figur
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