5,447 research outputs found
A new method for calculation of traces of Dirac -matrices in Minkowski space
This paper presents some relations for orthonormal bases in the Minkowski
space and isotropic tetrads constructed from the vectors of these bases. As an
example of an application of the obtained formulae, in particular recursion
relations, a new method is proposed to calculate traces of Dirac
-matrices in the Minkowski space. Compared to the classical algorithms,
the new method results in more compact expressions for the traces.
Specifically, it may be easily implemented as a simple yet efficient computer
algorithm.Comment: 13 pages, LaTeX2E, version to appear in Nuclear Physics
Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
We develop a low-energy effective theory for spin-1/2 frustrated two-leg
Heisenberg spin ladders. We obtain a new type of interchain coupling that
breaks parity symmetry. In the presence of an XXZ-type anisotropy, this
interaction gives rise to a novel ground state, characterized by incommensurate
correlations. In the case of a single ladder, this state corresponds to a spin
nematic phase. For a frustrated quasi-one-dimensional system of infinitely many
weakly coupled chains, this state develops true three dimensional spiral order.
We apply our theory to recent neutron scattering experiments on .Comment: 4 pages of revtex, 3 figure
Random Matrix Theory of a Chaotic Andreev Quantum Dot
A new universality class distinct from the standard Wigner-Dyson ones is
identified. This class is realized by putting a metallic quantum dot in contact
with a superconductor, while applying a magnetic field so as to make the
pairing field effectively vanish on average. A random-matrix description of the
spectral and transport properties of such a quantum dot is proposed. The
weak-localization correction to the tunnel conductance is nonzero and results
from the depletion of the density of states due to the coupling with the
superconductor. Semiclassically, the depletion is caused by a a mode of
phase-coherent long-range propagation of electrons and holes.Comment: minor changes, 4 REVTeX page
Exact microscopic analysis of a thermal Brownian motor
We study a genuine Brownian motor by hard disk molecular dynamics and
calculate analytically its properties, including its drift speed and thermal
conductivity, from microscopic theory.Comment: 4 pages, 5 figure
Low-energy quasiparticle states near extended scatterers in d-wave superconductors and their connection with SUSY quantum mechanics
Low-energy quasiparticle states, arising from scattering by single-particle
potentials in d-wave superconductors, are addressed. Via a natural extension of
the Andreev approximation, the idea that sign-variations in the superconducting
pair-potential lead to such states is extended beyond its original setting of
boundary scattering to the broader context of scattering by general
single-particle potentials, such as those due to impurities. The
index-theoretic origin of these states is exhibited via a simple connection
with Witten's supersymmetric quantum-mechanical model.Comment: 5 page
Integrable boundary interaction in 3D target space: the "pillow-brane" model
We propose a model of boundary interaction, with three-dimensional target
space, and the boundary values of the field {\vec X}\in R^3 constrained to lay
on a two-dimensional surface of the "pillow" shape. We argue that the model is
integrable, and suggest that its exact solution is described in terms of
certain linear ordinary differential equation.Comment: 28 pages, 4 figure
Symmetry Analysis of Barotropic Potential Vorticity Equation
Recently F. Huang [Commun. Theor. Phys. V.42 (2004) 903] and X. Tang and P.K.
Shukla [Commun. Theor. Phys. V.49 (2008) 229] investigated symmetry properties
of the barotropic potential vorticity equation without forcing and dissipation
on the beta-plane. This equation is governed by two dimensionless parameters,
and , representing the ratio of the characteristic length scale to
the Rossby radius of deformation and the variation of earth' angular rotation,
respectively. In the present paper it is shown that in the case there
exists a well-defined point transformation to set . The
classification of one- and two-dimensional Lie subalgebras of the Lie symmetry
algebra of the potential vorticity equation is given for the parameter
combination and . Based upon this classification, distinct
classes of group-invariant solutions is obtained and extended to the case
.Comment: 6 pages, release version, added reference for section
Counting statistics for arbitrary cycles in quantum pumps
Statistics of charge transport in an adiabatic pump are determined by the
dynamics of the scattering matrix S(t). We show that, up to an integer offset,
the statistics depend only on the corresponding path N(t)=S^\dagger\sigma_3 S
in the coset space (the sphere for a single channel). For a general loop S(t)
we solve for the noise-minimizing pumping strategy. The average current is
given by the area enclosed by N(t) in the coset space; its minimal noise by the
area of a minimal surface (soap film) spanned by N(t) in the space of all
matrices. We formulate conditions for quantization of the pumped charge.Comment: 4 pages, 2 figure
Symmetry justification of Lorenz' maximum simplification
In 1960 Edward Lorenz (1917-2008) published a pioneering work on the `maximum
simplification' of the barotropic vorticity equation. He derived a coupled
three-mode system and interpreted it as the minimum core of large-scale fluid
mechanics on a `finite but unbounded' domain. The model was obtained in a
heuristic way, without giving a rigorous justification for the chosen selection
of modes. In this paper, it is shown that one can legitimate Lorenz' choice by
using symmetry transformations of the spectral form of the vorticity equation.
The Lorenz three-mode model arises as the final step in a hierarchy of models
constructed via the component reduction by means of symmetries. In this sense,
the Lorenz model is indeed the `maximum simplification' of the vorticity
equation.Comment: 8 pages, minor correction
Conductance fluctuations in mesoscopic normal-metal/superconductor samples
We study the magnetoconductance fluctuations of mesoscopic
normal-metal/superconductor (NS) samples consisting of a gold-wire in contact
with a niobium film. The magnetic field strength is varied over a wide range,
including values that are larger than the upper critical field B_c2 of niobium.
In agreement with recent theoretical predictions we find that in the NS sample
the rms of the conductance fluctuations (CF) is by a factor of 2.8 +/- 0.4
larger than in the high field regime where the entire system is driven normal
conducting. Further characteristics of the CF are discussed.Comment: 4 pages, REVTEX, 3 eps-figures included. To be published in Phys.
Rev. Lett.. Changes: one misplaced figure correcte
- …