421 research outputs found
Magnetic excitations in coupled Haldane spin chains near the quantum critical point
Two quasi-1-dimensional S=1 quantum antiferromagnetic materials, PbNi2V2O8
and SrNi2V2O8, are studied by inelastic neutron scattering on powder samples.
While magnetic interactions in the two systems are found to be very similar,
subtle differences in inter-chain interaction strengths and magnetic anisotropy
are detected. The latter are shown to be responsible for qualitatively
different ground state properties: magnetic long-range order in SrNi2V2O8 and
disordered ``spin liquid'' Haldane-gap state in PbNi2V2O8.Comment: 15 figures, Figs. 5,9, and 10 in color. Some figures in JPEG format.
Complete PostScript and PDF available from
http://papillon.phy.bnl.gov/publicat.ht
Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland
lattice is studied by a mapping onto spinless fermions carrying one quantum of
statistical flux. Using a mean-field approximation these fermions populate the
bands of a generalized Hofstadter problem. Their filling leads to the
magnetization curve. For SrCu_2(BO_3)_2 we reproduce plateaus at 1/3 and 1/4 of
the saturation moment and predict a new one at 1/2. Gaussian fluctuations are
shown to be massive at these plateau values.Comment: 4 pages, 5 figure
First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
Using a Monte Carlo method, we study the finite-temperature phase transition
in the two-dimensional classical Heisenberg model on a triangular lattice with
or without easy-plane anisotropy. The model takes account of competing
interactions: a ferromagnetic nearest-neighbor interaction and an
antiferromagnetic third nearest-neighbor interaction . As a result, the
ground state is a spiral spin configuration for . In this
structure, global spin rotation cannot compensate for the effect of 120-degree
lattice rotation, in contrast to the conventional 120-degree structure of the
nearest-neighbor interaction model. We find that this model exhibits a
first-order phase transition with breaking of the lattice rotation symmetry at
a finite temperature. The transition is characterized as a vortex
dissociation in the isotropic case, whereas it can be viewed as a vortex
dissociation in the anisotropic case. Remarkably, the latter is continuously
connected to the former as the magnitude of anisotropy decreases, in contrast
to the recent work by Misawa and Motome [J. Phys. Soc. Jpn. \textbf{79} (2010)
073001.] in which both the transitions were found to be continuous.Comment: 11pages, 16figures, accepted to JPS
Perturbative matching of staggered four-fermion operators with hypercubic fat links
We calculate the one-loop matching coefficients between continuum and lattice
four-fermion operators for lattice operators constructed using staggered
fermions and improved by the use of fattened links. In particular, we consider
hypercubic fat links and SU(3) projected Fat-7 links, and their mean-field
improved versions. We calculate only current-current diagrams, so that our
results apply for operators whose flavor structure does not allow
``eye-diagrams''. We present general formulae, based on two independent
approaches, and give numerical results for the cases in which the operators
have the taste (staggered flavor) of the pseudo-Goldstone pion. We find that
the one-loop corrections are reduced down to the 10-20% level, resolving the
problem of large perturbative corrections for staggered fermion calculations of
matrix elements.Comment: 37 pages, no figure, 20 table
Improvement of the Staggered Fermion Operators
We present a complete and detailed derivation of the finite lattice spacing
corrections to staggered fermion matrix elements. Expanding upon arguments of
Sharpe, we explicitly implement the Symanzik improvement program demonstrating
the absence of order terms in the Symanzik improved action. We propose a
general program to improve fermion operators to remove corrections from
their matrix elements, and demonstrate this program for the examples of matrix
elements of fermion bilinears and . We find the former does have
corrections while the latter does not.Comment: 16 pages, latex, 1 figur
The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory
We consider the effect of quantum spin fluctuations on the ground state
properties of the Heisenberg antiferromagnet on an anisotropic triangular
lattice using linear spin-wave theory. This model should describe the magnetic
properties of the insulating phase of the kappa-(BEDT-TTF)_2 X family of
superconducting molecular crystals. The ground state energy, the staggered
magnetization, magnon excitation spectra and spin-wave velocities are computed
as a function of the ratio between the second and first neighbours, J2/J1. We
find that near J2/J1 = 0.5, i.e., in the region where the classical spin
configuration changes from a Neel ordered phase to a spiral phase, the
staggered magnetization vanishes, suggesting the possibility of a quantum
disordered state. In this region, the quantum correction to the magnetization
is large but finite. This is in contrast to the frustrated Heisenberg model on
a square lattice, for which the quantum correction diverges logarithmically at
the transition from the Neel to the collinear phase. For large J2/J1, the model
becomes a set of chains with frustrated interchain coupling. For J2 > 4 J1, the
quantum correction to the magnetization, within LSW, becomes comparable to the
classical magnetization, suggesting the possibility of a quantum disordered
state. We show that, in this regime, quantum fluctuations are much larger than
for a set of weakly coupled chains with non-frustated interchain coupling.Comment: 10 pages, RevTeX + epsf, 5 figures Replaced with published version.
Comparison to series expansions energies include
Perturbative Thermodynamics of Lattice QCD with Chiral-Invariant Four-Fermion Interactions
Lattice QCD with additional chiral-invariant four-fermion interactions is
studied at nonzero temperature. Staggered Kogut-Susskind quarks are used. The
four-fermion interactions are implemented by introducing bosonic auxiliary
fields. A mean field treatment of the auxiliary fields is used to calculate the
model's asymptotic scale parameter and perturbative thermodynamics, including
the one-loop gluonic contributions to the energy, entropy, and pressure. In
this approach the calculations reduce to those of ordinary lattice QCD with
massive quarks. Hence, the previous calculations of these quantities in lattice
QCD using massless quarks are generalized to the massive case.Comment: 22 pages, RevTeX, 8 EPS figures, uses epsf.sty and feynmf.st
Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
We present the theory of nonzero temperature () spin dynamics and
transport in one-dimensional Heisenberg antiferromagnets with an energy gap
. For , we develop a semiclassical picture of thermally
excited particles. Multiple inelastic collisions between the particles are
crucial, and are described by a two-particle S-matrix which has a
super-universal form at low momenta. This is established by computations on the
O(3) -model, and strong and weak coupling expansions (the latter using
a Majorana fermion representation) for the two-leg S=1/2 Heisenberg
antiferromagnetic ladder. As an aside, we note that the strong-coupling
calculation reveals a S=1, two particle bound state which leads to the presence
of a second peak in the T=0 inelastic neutron scattering (INS) cross-section
for a range of values of momentum transfer. We obtain exact, or numerically
exact, universal expressions for the thermal broadening of the quasi-particle
peak in the INS cross-section, for the magnetization transport, and for the
field dependence of the NMR relaxation rate of the effective
semiclassical model: these are expected to be asymptotically exact for the
quantum antiferromagnets. The results for are compared with the
experimental findings of Takigawa et al and the agreement is quite good. In the
regime we argue that a
complementary description in terms of semiclassical waves applies, and give
some exact results for the thermodynamics and dynamics.Comment: REVTEX, 53 pages and 23 postscript figures; added additional
reference and associated clarificatio
Extended Dualization: a method for the Bosonization of Anomalous Fermion Systems in Arbitrary Dimension
The technique of extended dualization developed in this paper is used to
bosonize quantized fermion systems in arbitrary dimension in the low energy
regime. In its original (minimal) form, dualization is restricted to models
wherein it is possible to define a dynamical quantized conserved charge. We
generalize the usual dualization prescription to include systems with dynamical
non--conserved quantum currents. Bosonization based on this extended
dualization requires the introduction of an additional rank (scalar) field
together with the usual antisymmetric tensor field of rank . Our
generalized dualization prescription permits one to clearly distinguish the
arbitrariness in the bosonization from the arbitrariness in the quantization of
the system. We study the bosonization of four--fermion interactions with large
mass in arbitrary dimension. First, we observe that dualization permits one to
formally bosonize these models by invoking the bosonization of the free massive
Dirac fermion and adding some extra model--dependent bosonic terms. Secondly,
we explore the potential of extended dualization by considering the particular
case of \underbar{chiral} four--fermion interactions. Here minimal dualization
is inadequate for calculating the extra bosonic terms. We demonstrate the
utility of extended dualization by successfully completing the bosonization of
this chiral model. Finally, we consider two examples in two dimensions which
illuminate the utility of using extended dualization by showing how
quantization ambiguities in a fermionic theory propagate into the bosonized
version. An explicit parametrization of the quantization ambiguities of the
chiral current in the Chiral Schwinger model is obtained. Similarly, for the
sine--Gordon interaction in the massive Thirring model the quantizationComment: Revised version including major changes in section 3, to be published
in Phys. Rev.
Lectures on Chiral Disorder in QCD
I explain the concept that light quarks diffuse in the QCD vacuum following
the spontaneous breakdown of chiral symmetry. I exploit the striking analogy to
disordered electrons in metals, identifying, among others, the universal regime
described by random matrix theory, diffusive regime described by chiral
perturbation theory and the crossover between these two domains.Comment: Lectures given at the Cargese Summer School, August 6-18, 200
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