519 research outputs found
Exact calculation of thermodynamical quantities of the integrable t-J model
The specific heat and the compressibility for the integrable t-J model are
calculated showing Luttinger liquid behavior for low temperatures. A
Trotter-Suzuki mapping and the quantum transfer matrix approach are utilized.
Using an algebraic Bethe ansatz this method permits the exact calculation of
the free energy and related quantities. A set of just two non-linear integral
equations determining these quantities is studied for various particle
densities and temperatures. The structure of the specific heat is discussed in
terms of the elementary charge as well as spin excitations.Comment: 4 pages, 5 Postscript figures, uses epsf.sty and revtex, tar'ed,
gzip'ed and uuencode
Doping a Mott insulator with orbital degrees of freedom
We study the effects of hole doping on one-dimensional Mott insulators with
orbital degrees of freedom. We describe the system in terms of a generalized
t-J model. At a specific point in parameter space the model becomes integrable
in analogy to the one-band supersymmetric t-J model. We use the Bethe ansatz to
derive a set of nonlinear integral equations which allow us to study the
thermodynamics exactly. Moving away from this special point in parameter space
we use the density-matrix renormalization group applied to transfer matrices to
study the evolution of various phases of the undoped system with doping and
temperature. Finally, we study a one-dimensional version of a realistic model
for cubic titanates which includes the anisotropy of the orbital sector due to
Hund's coupling. We find a transition from a phase with antiferromagnetically
correlated spins to a phase where the spins are fully ferromagnetically
polarized, a strong tendency towards phase separation at large Hund's coupling,
as well as the possibility of an instability towards triplet superconductivity
The anisotropic multichannel spin- Kondo model: Calculation of scales from a novel exact solution
A novel exact solution of the multichannel spin- Kondo model is presented,
based on a lattice path integral approach of the single channel spin-1/2 case.
The spin exchange between the localized moment and the host is of -type,
including the isotropic limit. The free energy is given by a finite set
of non-linear integral equations, which allow for an accurate determination of
high- and low-temperature scales.Comment: 18 pages, 7 figure
Exact trimer ground states on a spin-1 chain
We construct a new spin-1 model on a chain. Its ground state is determined
exactly which is three-fold degenerate by breaking translational invariance.
Thus we have trimerization. Excited states cannot be obtained exactly, but we
determine a few low-lying ones by using trial states, among them solitons
Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
We derive a finite set of nonlinear integral equations (NLIE) for the
thermodynamics of the one-dimensional sl(4)-symmetric Uimin-Sutherland model.
Our NLIE can be evaluated numerically for arbitrary finite temperature and
chemical potentials. We recover the NLIE for sl(3) as a limiting case. In
comparison to other recently derived NLIE, the evaluation at low temperature
poses no problem in our formulation. The model shows a rich ground-state phase
diagram. We obtain the critical fields from the T to zero limit of our NLIE. As
an example for the application of the NLIE, we give numerical results for the
SU(4) spin-orbital model. The magnetic susceptibility shows divergences at
critical fields in the low-temperature limit and logarithmic singularities for
zero magnetic field.Comment: 32 pages, 7 figures; references added, minor corrections, final
versio
Mixed Heisenberg Chains. II. Thermodynamics
We consider thermodynamic properties, e.g. specific heat, magnetic
susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising
symmetry these chains can be decomposed into a set of finite chain fragments.
The problem of finding the thermodynamic quantities is effectively separated
into two parts. First we deal with finite objects, secondly we can incorporate
the fragments into a statistical ensemble. As functions of the coupling
constants, the models exhibit special features in the thermodynamic quantities,
e.g. the specific heat displays double peaks at low enough temperatures. These
features stem from first order quantum phase transitions at zero temperature,
which have been investigated in the first part of this work.Comment: 12 pages, RevTeX, 12 embedded eps figures, cf. cond-mat/9703206,
minor modification
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