3,875 research outputs found
A Unified Conformal Field Theory Description of Paired Quantum Hall States
The wave functions of the Haldane-Rezayi paired Hall state have been
previously described by a non-unitary conformal field theory with central
charge c=-2. Moreover, a relation with the c=1 unitary Weyl fermion has been
suggested. We construct the complete unitary theory and show that it
consistently describes the edge excitations of the Haldane-Rezayi state.
Actually, we show that the unitary (c=1) and non-unitary (c=-2) theories are
related by a local map between the two sets of fields and by a suitable change
of conjugation. The unitary theory of the Haldane-Rezayi state is found to be
the same as that of the 331 paired Hall state. Furthermore, the analysis of
modular invariant partition functions shows that no alternative unitary
descriptions are possible for the Haldane-Rezayi state within the class of
rational conformal field theories with abelian current algebra. Finally, the
known c=3/2 conformal theory of the Pfaffian state is also obtained from the
331 theory by a reduction of degrees of freedom which can be physically
realized in the double-layer Hall systems.Comment: Latex, 42 pages, 2 figures, 3 tables; minor corrections to text and
reference
Are current-induced forces conservative?
The expression for the force on an ion in the presence of current can be
derived from first principles without any assumption about its conservative
character. However, energy functionals have been constructed that indicate that
this force can be written as the derivative of a potential function. On the
other hand, there exist compelling specific arguments that strongly suggest the
contrary. We propose physical mechanisms that invalidate such arguments and
demonstrate their existence with first-principles calculations. While our
results do not constitute a formal resolution to the fundamental question of
whether current-induced forces are conservative, they represent a substantial
step forward in this direction.Comment: 4 pages, 4 Figures, submitted to PR
Conformal field theories with infinitely many conservation laws
Globally conformal invariant quantum field theories in a D-dimensional
space-time (D even) have rational correlation functions and admit an infinite
number of conserved (symmetric traceless) tensor currents. In a theory of a
scalar field of dimension D-2 they were demonstrated to be generated by bilocal
normal products of free massless scalar fields with an O(N), U(N), or Sp(2N)
(global) gauge symmetry [BNRT].
Recently, conformal field theories "with higher spin symmetry" were
considered for D=3 in [MZ] where a similar result was obtained (exploiting
earlier study of CFT correlators). We suggest that the proper generalization of
the notion of a 2D chiral algebra to arbitrary (even or odd) dimension is
precisely a CFT with an infinite series of conserved currents. We shall recast
and complement (part of) the argument of Maldacena and Zhiboedov into the
framework of our earlier work. We extend to D=4 the auxiliary Weyl-spinor
formalism developed in [GPY] for D=3. The free field construction only follows
for D>3 under additional assumptions about the operator product algebra. In
particular, the problem of whether a rational CFT in 4D Minkowski space is
necessarily trivial remains open.Comment: 24 pages, Lecture at the TH Journal Club (CERN, February 2012
Hartree-Fock theory of a current-carrying electron gas
State-of-the-art simulation tools for nonequilibrium quantum transport systems typically take the current-carrier occupations to be described in terms of equilibrium distribution functions characterized by two different electrochemical potentials, while for the description of electronic exchange and correlation, the local density approximation (LDA) to density functional theory is generally used. However, this involves an inconsistency because the LDA is based on the homogeneous electron gas in equilibrium, while the system is not in equilibrium and may be far from it. In this paper, we analyze this inconsistency by studying the interplay between nonequilibrium occupancies obtained from a maximum entropy approach and the Hartree-Fock exchange energy, single-particle spectrum and exchange hole, for the case of a two-dimensional homogeneous electron gas. The current dependence of the local exchange potential is also discussed. It is found that the single-particle spectrum and exchange hole have a significant dependence on the current, which has not been taken into account in practical calculations since it is not captured by the commonly used functionals. The exchange energy and the local exchange potential, however, are shown to change very little with respect to their equilibrium counterparts. The weak dependence of these quantities on the current is explained in terms of the symmetries of the exchange hole
Prediction of sanding in subsurface hydrocarbon reservoirs.
Sand production in oil and gas wells can occur if the fluid velocity exceeds a
certain value. Due to drilling operations, the mechanical stresses can exceed the load bearing capacity of the rock. As the local stresses exceed certain level, a certain amount of rock is fractured into sand. Then, the sand is carried by the fluid through the wellbore depending on the flow rate. The amount of the solids can be less than a few grams per cubic meter of reservoir fluid or an essential amount. In the later case erosion of the rock and removing sufficient quantities of rock can occur. This can produce subsurface cavities which collapse and destroy the well.
When sanding is unavoidable it is necessary to estimate the characteristics of the process. Our aim was to generate a simple one-dimensional local model, which predicts the volume of sanding, the radius and the porosity of the yielded zone. Such model will help the company in the development of complex 3D models
Single-particle and Interaction Effects on the Cohesion and Transport and Magnetic Properties of Metal Nanowires at Finite Voltages
The single-particle and interaction effects on the cohesion, electronic
transport, and some magnetic properties of metallic nanocylinders have been
studied at finite voltages by using a generalized mean-field electron model.
The electron-electron interactions are treated in the self-consistent Hartree
approximation. Our results show the single-particle effect is dominant in the
cohesive force, while the nonzero magnetoconductance and magnetotension
coefficients are attributed to the interaction effect. Both single-particle and
interaction effects are important to the differential conductance and magnetic
susceptibility.Comment: 5 pages, 6 figure
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