218 research outputs found
Skyrmion mass and a new kind of the cyclotron resonance for 2DEG
The skyrmionic mass was calculated in the main order of the gradient
expansion in derivatives of the rotation matrix. The mass is proportinal to the
topological invariant which is the absolut value of the degree of the mapping.
The coefficient is defined by the exchange interaction. The charged skyrmions
in magnetic field give rise to a special branch of cyclotron resonance with the
frequency defined by the exchange interaction and have the corresponding term
in their minimal energy. The possibility of an extra bound electron and neutral
skyrmions is discussed.Comment: 4 pages, Latex (submitted to JETP lett.
Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff
On the basis of recently proposed scenario of the transformation of the
Kolmogorov cascade into the Kelvin-wave cascade, we develop a theory of
low-temperature cutoff. The theory predicts a specific behavior of the
quantized vortex line density, , controlled by the frictional coefficient,
, responsible for the cutoff. The curve is
found to directly reflect the structure of the cascade, revealing four
qualitatively distinct wavenumber regions. Excellent agreement with recent
experiment by Walmsley {\it et al.} [arXiv:0710.1033]--in which has been
measured down to K--implies that the scenario of low-temperature
superfluid turbulence is now experimentally validated, and allows to quantify
the Kelvin-wave cascade spectrum.Comment: 4 pages, 2 figures, v2: extended introduction, the controversy with
the scenario by L'vov et al. [13] is discussed in conclusio
Doublon relaxation in the Bose-Hubbard model
Decay of a high-energy double occupancy state, doublon, in a narrow-band
lattice requires creation of a coherent many-particle excitation. This leads to
an exponentially long relaxation time of such a state. We show that, if the
average occupation number is sufficiently small, the corresponding exponent may
be evaluated exactly. To this end we develop the quasiclassical approach to
calculation of the high-order tree-level decay amplitudes.Comment: 4 pages, 1 figur
Phase-slip avalanches in the superflow of He through arrays of nanopores
Recent experiments by Sato et al. [1] have explored the dynamics of He
superflow through an array of nanopores. These experiments have found that, as
the temperature is lowered, phase-slippage in the pores changes its character,
from synchronous to asynchronous. Inspired by these experiments, we construct a
model to address the characteristics of phase-slippage in superflow through
nanopore arrays. We focus on the low-temperature regime, in which the
current-phase relation for a single pore is linear, and thermal fluctuations
may be neglected. Our model incorporates two basic ingredients: (1) each pore
has its own random value of critical velocity (due, e.g., to atomic-scale
imperfections), and (2) an effective inter-pore coupling, mediated through the
bulk superfluid. The inter-pore coupling tends to cause neighbours of a pore
that has already phase-slipped also to phase-slip; this process may cascade,
creating an avalanche of synchronously slipping phases. As the temperature is
lowered, the distribution of critical velocities is expected to effectively
broaden, owing to the reduction in the superfluid healing length, leading to a
loss of synchronicity in phase-slippage. Furthermore, we find that competition
between the strength of the disorder in the critical velocities and the
strength of the inter-pore interaction leads to a phase transition between
non-avalanching and avalanching regimes of phase-slippage.
[1] Sato, Y., Hoskinson, E. Packard, R. E. cond-mat/0605660.Comment: 8 pages, 5 figure
Weak localization of bulk channels in topological insulator thin film
Weak antilocalization (WAL) is expected whenever strong spin-orbit coupling
or scattering comes into play. Spin-orbit coupling in the bulk states of a
topological insulator is very strong, enough to result in the topological phase
transition. However, the recently observed WAL in topological insulators seems
to have an ambiguous origin from the bulk states. Starting from the effective
model for three-dimensional topological insulators, we find that the lowest
two-dimensional (2D) bulk subbands of a topological insulator thin film can be
described by the modified massive Dirac model. We derive the
magnetoconductivity formula for both the 2D bulk subbands and surface bands.
Because with Relatively large gap, the 2D bulk subbands may lie in the regimes
where the unitary behavior or even weak localization (WL) is also expected,
instead of always WAL. As a result, the bulk states may contribute small
magnetoconductivity or even compensate the WAL from the surface states.
Inflection in magnetoconductivity curves may appear when the bulk WL channels
outnumber the surface WAL channels, providing a signature of the weak
localization from the bulk states.Comment: 9 pages, 5 figure
Interaction-driven topological insulator states in strained graphene
The electronic properties of graphene can be manipulated via mechanical
deformations, which opens prospects for studying the Dirac fermions in new
regimes and for new device applications. Certain natural configurations of
strain generate large nearly uniform pseudo-magnetic fields, which have
opposite signs in the two valleys, and give rise to flat spin- and
valley-degenerate pseudo Landau levels (PLLs). Here we consider the effect of
the Coulomb interactions in strained graphene with uniform pseudo-magnetic
field. We show that the spin/valley degeneracies of the PLLs get lifted by the
interactions, giving rise to topological insulator-like states. In particular,
when a nonzero PLL is quarter- or three-quarter filled, an anomalous quantum
Hall state spontaneously breaking time-reversal symmetry emerges. At
half-filled PLL, weak spin-orbital interaction stabilizes
time-reversal-symmetric quantum spin-Hall state. These many-body states are
characterized by the quantized conductance and persist to a high temperature
scale set by the Coulomb interactions, which we estimate to be a few hundreds
Kelvin at moderate strain values. At fractional fillings, fractional quantum
Hall states breaking valley symmetry emerge. These results suggest a new route
to realizing robust topological insulator states in mesoscopic graphene.Comment: 5 page
Bound States in a Quantized Hall Ferromagnet
We report on a study of the quasielectron-quasihole and skyrmion-antiskyrmion
bound states in the quantum Hall regime. The short range attraction
potential is assumed to be determined by a point magnetic impurity. The
calculations are performed within the strong field approximation when the
binding energy and the characteristic electron-electron interaction energy are
smaller than the Landau level spacing. The Excitonic Representation technique
is used in that case.Comment: 8 page
Soliton-antisoliton pair production in particle collisions
We propose general semiclassical method for computing the probability of
soliton-antisoliton pair production in particle collisions. The method is
illustrated by explicit numerical calculations in (1+1)-dimensional scalar
field model. We find that the probability of the process is suppressed by an
exponentially small factor which is almost constant at high energies.Comment: 4 pages, 3 figures, journal versio
Superflow in Solid 4He
Kim and Chan have recently observed Non-Classical Rotational Inertia (NCRI)
for solid He in Vycor glass, gold film, and bulk. Their low value of
the superfluid fraction, , is consistent with what
is known of the atomic delocalization in this quantum solid. By including a
lattice mass density distinct from the normal fluid density
, we argue that , and we
develop a model for the normal fluid density with contributions from
longitudinal phonons and ``defectons'' (which dominate). The Bose-Einstein
Condensation (BEC) and macroscopic phase inferred from NCRI implies quantum
vortex lines and quantum vortex rings, which may explain the unusually low
critical velocity and certain hysteretic phenomena.Comment: 4 page pdf, 1 figur
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