54 research outputs found
Spectral sum rules for the Tomonaga-Luttinger model
In connection with recent publications we discuss spectral sum rules for the
Tomonaga-Luttinger model without using the explicit result for the one-electron
Green's function. They are usefull in the interpretation of recent high
resolution photoemission spectra of quasi-one-dimensional conductors. It is
shown that the limit of infinite frequency and band cut\-off do not commute.
Our result for arbitrary shape of the interaction potential generalizes an
earlier discussion by Suzumura. A general analytical expression for the
spectral function for wave vectors far from the Fermi wave vector is
presented. Numerical spectra are shown to illustrate the sum rules.Comment: 9 pages, REVTEX 3.0, 2 figures added as postscript file
Upper Critical Field in a Spin-Charge Separated Superconductor
It is demonstrated that the spatial decay of the pair propagator in a
Luttinger liquid with spin charge separation contains a logarithmic correction
relative to the free fermi gas result in a finite interval between the spin and
charge thermal lengths. It is argued that similar effects can be expected in
higher dimensional systems with spin charge separation and that the temperature
dependence of the upper critical field curve is a probe of this
effect.Comment: 3 pages, postscript file (compressed and uuencoded
The thermal operator representation for Matsubara sums
We prove in full generality the thermal operator representation for Matsubara
sums in a relativistic field theory of scalar and fermionic particles. It
states that the full result of performing the Matsubara sum associated to any
given Feynman graph, in the imaginary-time formalism of finite-temperature
field theory, can be directly obtained from its corresponding zero-temperature
energy integral, by means of a simple linear operator, which is independent of
the external Euclidean energies and whose form depends solely on the topology
of the graph.Comment: 9 pages, 1 figure, RevTe
A Uniform Approach to Antiferromagnetic Heisenberg Spins on Low Dimensional Lattices
Using group theoretical methods we show for both the triangular and square
lattices that in the continuum limit the antiferromagnetic order parameter
lives on SO3 without respect of the initial lattice. For the antiferromagnetic
chain we recover the Haldane decomposition. This order parameter interacts with
a local gauge field rather than with a global one as implicitly suggested in
the literature which in our approach appears in a rather natural manner. In
fact this merely corresponds to a novel extension of the spin group by a local
gauge field. This analysis based on the real division algebras applies to low
dimensional lattices.Comment: 5 pages; REVTeX
Disclination Asymmetry in Two-Dimensional Nematic Liquid Crystals with Unequal Frank Constants
The behavior of a thin film of nematic liquid crystal with unequal Frank
constants is discussed. Distinct Frank constants are found to imply unequal
core energies for and disclinations. Even so, a topological
constraint is shown to ensure that the bulk densities of the two types of
disclinations are the same. For a system with free boundary conditions, such as
a liquid membrane, unequal core energies simply renormalize the Gaussian
rigidity and line tension.Comment: RevTex forma
Influence of Retardation on the Vibrational Wave Function and Binding Energy of the Helium Dimer
Because of the extremely small binding energy of the helium dimer, the nuclear wave function is delocalized over an extremely large range of separations. One might therefore expect the properties of this extraordinary species to be sensitive to the potential at very large internuclear distances, r, where relativistic corrections to the usual van der Waals interaction may be important. We have estimated the effect of retardation, which changes the r-6 dependence of the potential to r-7 in the limit of large r, and have found that the binding energy and expectation value (r) are indeed significantly affected by its inclusion
Encoded Universality for Generalized Anisotropic Exchange Hamiltonians
We derive an encoded universality representation for a generalized
anisotropic exchange Hamiltonian that contains cross-product terms in addition
to the usual two-particle exchange terms. The recently developed algebraic
approach is used to show that the minimal universality-generating encodings of
one logical qubit are based on three physical qubits. We show how to generate
both single- and two-qubit operations on the logical qubits, using suitably
timed conjugating operations derived from analysis of the commutator algebra.
The timing of the operations is seen to be crucial in allowing simplification
of the gate sequences for the generalized Hamiltonian to forms similar to that
derived previously for the symmetric (XY) anisotropic exchange Hamiltonian. The
total number of operations needed for a controlled-Z gate up to local
transformations is five. A scalable architecture is proposed.Comment: 11 pages, 4 figure
Dzyaloshinski-Moriya Interaction in the 2D Spin Gap System SrCu2(BO3)2
The Dzyaloshinski-Moriya interaction partially lifts the magnetic frustration
of the spin-1/2 oxide SrCu2(BO3)2. It explains the fine structure of the
excited triplet state and its unusual magnetic field dependence, as observed in
previous ESR and new neutron inelastic scattering experiments. We claim that it
is mainly responsible for the dispersion. We propose also a new mechanism for
the observed ESR transitions forbidden by standard selection rules, that relies
on an instantaneous Dzyaloshinski-Moriya interaction induced by spin-phonon
couplings.Comment: 5 pages, 4 figures, symmetries clarified, added references, (v3)
correct addres
Kinetic vs. Thermal-Field-Theory Approach to Cosmological Perturbations
A closed set of equations for the evolution of linear perturbations of
homogeneous, isotropic cosmological models can be obtained in various ways. The
simplest approach is to assume a macroscopic equation of state, e.g.\ that of a
perfect fluid. For a more refined description of the early universe, a
microscopic treatment is required. The purpose of this paper is to compare the
approach based on classical kinetic theory to the more recent
thermal-field-theory approach. It is shown that in the high-temperature limit
the latter describes cosmological perturbations supported by collisionless,
massless matter, wherein it is equivalent to the kinetic theory approach. The
dependence of the perturbations in a system of a collisionless gas and a
perfect fluid on the initial data is discussed in some detail. All singular and
regular solutions are found analytically.Comment: 31 pages, 10 figures (uu encoded ps-file appended), REVTEX 3.0, DESY
94-040 / TUW-93-2
d-wave superconductivity near charge instabilities
We investigate the symmetry of the superconducting order parameter in the
proximity of a phase-separation or of an incommensurate charge-density-wave
instability. The attractive effective interaction at small or intermediate
transferred momenta is singular near the instability. This strongly
-dependent interaction, together with a residual local repulsion between the
quasiparticles and an enhanced density of states for band structures
appropriate for the high temperature superconducting oxides, strongly favors
the formation of -wave superconductivity. The relative stability with
respect to superconductivity in the -wave channel is discussed in detail,
finding this latter hardly realized in the above conditions. The
superconducting temperature is mostly determined by the closeness to the
quantum critical point associated to the charge instability and displays a
stronger dependence on doping with respect to the simple proximity to a Van
Hove singularity. The relevance of this scenario and the generic agreement of
the resulting phase diagram with the properties displayed by high temperature
superconducting oxides is discussed.Comment: 1 revtex file and 12 postscript figure
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