1,901 research outputs found
Frustrated antiferromagnetic quantum spin chains for spin length S > 1
We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at
T=0 for S=3/2 and S=2 using the DMRG method. We localize disorder and Lifshitz
points, confirming that quantum disorder points can be seen as quantum remnants
of classical phase transitions. Both in the S=3/2 and the S=2 chain, we observe
the disappearance of effectively free S=1/2 and S=1 end spins respectively. The
frustrated spin chain is therefore a suitable system for clearly showing the
existence of free end spins S'=[S/2] also in half-integer antiferromagnetic
spin chains with S>1/2. We suggest that the first order transition found for
S=1 in our previous work is present in all frustrated spin chains with S>1/2,
characterized by the disappearance of effectively free end spins with S'=[S/2].Comment: 6 pages, 8 ps figures, uses RevTeX, submitted to PR
Elementary excitations in the gapped phase of a frustrated S=1/2 spin ladder: from spinons to the Haldane triplet
We use the variational matrix-product ansatz to study elementary excitations
in the S=1/2 ladder with additional diagonal coupling, equivalent to a single
S=1/2 chain with alternating exchange and next-nearest neighbor interaction. In
absence of alternation the elementary excitation consists of two free S=1/2
particles ("spinons") which are solitons in the dimer order. When the
nearest-neighbor exchange alternates, the "spinons" are confined into one S=1
excitation being a soliton in the generalized string order. Variational results
are found to be in a qualitative agreement with the exact diagonalization data
for 24 spins. We argue that such an approach gives a reasonably good
description in a wide range of the model parameters.Comment: RevTeX, 13 pages, 11 embedded figures, uses psfig and multico
Variational and DMRG studies of the Frustrated Antiferromagnetic Heisenberg S=1 Quantum Spin Chain
We study a frustrated antiferromagnetic isotropic Heisenberg chain
using a variational ansatz and the DMRG. At , there is a
disorder point of the second kind, marking the onset of incommensurate
correlations in the chain. At there is a Lifshitz point,
at which the excitation spectrum develops a doubly degenerate structure. These
points are the quantum remnants of the transition from antiferromagnetic to
spiral order in the classical frustrated chain. At there
is a first order phase transition from an AKLT phase to a next-nearest neighbor
generalization of the AKLT model. At the transition, the string order parameter
shows a discontinuous jump of 0.085 to 0; the correlation length and the gap
are both finite at the transition. The problem of edge states in open
frustrated chains is discussed at length.Comment: 37 pages, 14 figures, submitted to Phys.Rev.
Frustrated quantum Heisenberg ferrimagnetic chains
We study the ground-state properties of weakly frustrated Heisenberg
ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic
exchange interactions and two types of alternating sublattice spins S_1 > S_2,
using 1/S spin-wave expansions, density-matrix renormalization group, and
exact- diagonalization techniques. It is argued that the zero-point spin
fluctuations completely destroy the classical commensurate- incommensurate
continuous transition. Instead, the long-range ferrimagnetic state disappears
through a discontinuous transition to a singlet state at a larger value of the
frustration parameter. In the ferrimagnetic phase we find a disorder point
marking the onset of incommensurate real-space short-range spin-spin
correlations.Comment: 16 pages (LaTex 2.09), 6 eps figure
Constructing solutions to the Bj\"orling problem for isothermic surfaces by structure preserving discretization
In this article, we study an analog of the Bj\"orling problem for isothermic
surfaces (that are more general than minimal surfaces): given a real analytic
curve in , and two analytic non-vanishing orthogonal
vector fields and along , find an isothermic surface that is
tangent to and that has and as principal directions of
curvature. We prove that solutions to that problem can be obtained by
constructing a family of discrete isothermic surfaces (in the sense of Bobenko
and Pinkall) from data that is sampled along , and passing to the limit
of vanishing mesh size. The proof relies on a rephrasing of the
Gauss-Codazzi-system as analytic Cauchy problem and an in-depth-analysis of its
discretization which is induced from the geometry of discrete isothermic
surfaces. The discrete-to-continuous limit is carried out for the Christoffel
and the Darboux transformations as well.Comment: 29 pages, some figure
UBVRI photometric comparison sequences for symbiotic stars
We present accurate UBVRI photometric comparison sequences around 20
symbiotic stars. The sequences extend over wide brightness and color ranges,
and are suited to cover quiescence as well as outburst phases. The sequences
are intended to assist both present time photometry as well as measurement of
photographic plates from historical archives. The types of variability
presented by symbiotic stars are reviewed. Individual notes on the known
photometric behaviour of the program stars are provided.Comment: in press in Astron.Astrophys.Supp
Observation of the Charge Symmetry Breaking d + d -> 4He + pi0 Reaction Near Threshold
We report the first observation of the charge symmetry breaking d + d -> 4He
+ pi0 reaction near threshold at the Indiana University Cyclotron Facility.
Kinematic reconstruction permitted the separation of 4He + pi0 events from
double radiative capture 4He + gamma + gamma events. We measured total cross
sections for neutron pion production of 12.7 +- 2.2 pb at 228.5 MeV and 15.1 +-
3.1 pb at 231.8 MeV. The uncertainty is dominated by statistical errors.Comment: 7 pages, 2 figures, plain Te
On generalized cluster algorithms for frustrated spin models
Standard Monte Carlo cluster algorithms have proven to be very effective for
many different spin models, however they fail for frustrated spin systems.
Recently a generalized cluster algorithm was introduced that works extremely
well for the fully frustrated Ising model on a square lattice, by placing bonds
between sites based on information from plaquettes rather than links of the
lattice. Here we study some properties of this algorithm and some variants of
it. We introduce a practical methodology for constructing a generalized cluster
algorithm for a given spin model, and investigate apply this method to some
other frustrated Ising models. We find that such algorithms work well for
simple fully frustrated Ising models in two dimensions, but appear to work
poorly or not at all for more complex models such as spin glasses.Comment: 34 pages in RevTeX. No figures included. A compressed postscript file
for the paper with figures can be obtained via anonymous ftp to
minerva.npac.syr.edu in users/paulc/papers/SCCS-527.ps.Z. Syracuse University
NPAC technical report SCCS-52
The sedimentology of the Lower Permian Dandot Formation: a component of the Gondwana deglaciation sequence of the Salt Range, Pakistan
The Dandot Formation is a part of the Lower Permian, dominantly continental, Gondwanan Nilawahan
Group in the Salt Range, Pakistan. The formation conformably overlies the glacio-fluvial Tobra Formation and has
a sharp conformable contact with the overlying fluvio-continental Warchha Sandstone. Sedimentary analyses show
that the Dandot Formation consists of 1: bioturbated sandstone lithofacies (L1), 2: dark green mudstone/shale lithofacies
(L2), 3: flaser bedded sandstone lithofacies (L3), 4: rippled sandstone lithofacies (L4), 5: cross-bedded sandstone
lithofacies (L5), and 6: planar sandstone lithofacies (L6). These can be grouped into shoreface, inner shelf,
and tidal flat and estuarine facies associations, deposited in shallow marine to intertidal environments. The upper
part of the Tobra Formation at the Choa-Khewra road section, where it conformably underlies the Dandot Formation,
contains palynomorphs assignable to the earliest Permian 2141B Biozone. In south Oman, the 2141B Biozone
is closely associated with the Rahab Shale Member, a widespread shale unit which is considered to represent part of
a Permian deglaciation sequence which culminates in the marine beds of the Lower Gharif Member, interpreted as
due to post glacial marine transgression. Thus, the Tobra Formation and the overlying marine Dandot Formation
may form part of a similar deglaciation sequence
Optical Thomas-Reiche-Kuhn sum rules
The Thomas-Reiche-Kuhn sum rule is a fundamental consequence of the position-momentum commutation relation for an atomic electron and it provides an important constraint on the transition matrix elements for an atom. Analogously, the commutation relations for the electromagnetic field operators in a magnetodielectric medium constrain the properties of the dispersion relations for the medium through four sum rules for the allowed phase and group velocities for polaritons propagating through the medium. These rules apply to all bulk media including the metamaterials designed to provide negative refractive indices. An immediate consequence of this is that it is not possible to construct a medium in which all the polariton modes for a given wavelength lie in the negative-index region
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