35 research outputs found
Transfer-matrix renormalization group study of the spin ladders with cyclic four-spin interactions
The temperature dependence of the specific heat and spin susceptibility of
the spin ladders with cyclic four-spin interactions in the rung-singlet phase
is explored by making use of the transfer-matrix renormalization group method.
The values of spin gap are extracted from the specific heat and susceptibility,
respectively. It is found that for different relative strength between
interchain and intrachain interactions, the spin gap is approximately linear
with the cyclic four-spin interaction in the region far away from the critical
point. Furthermore, we show that the dispersion for the one-triplet magnon
branch can be obtained by numerically fitting on the partition function.Comment: 7 pages, 7 figures, 1 tabl
Numerical evidences of spin-1/2 chain approaching spin-1 chain
In this article, we study the one dimensional Heisenberg spin-1/2 alternating
bond chain in which the nearest neighbor exchange couplings are ferromagnetic
(FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization
and density matrix renormalization groups (DMRG) method, we discuss how the
system approaches to the AF uniform spin-1 chain under certain condition. When
the ratio of AF to FM coupling strength}
\textit{is very small, the physical quantities of the alternating bond chain
such as the spin-spin correlation, the string correlation function and the spin
density coincide with that of the AF uniform spin-1 chain. The edge state
problem is discussed in the present model with small}\textit{limit. In
addition, the Haldane gap of the AF uniform spin-1 chain is 4-times of the gap
of the system considered.Comment: 9pages,8page
United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS BOND-VERSUS-SITE DOPING MODELS FOR OFF-CHAIN-DOPED HALDANE-GAP SYSTEM Y 2 Ba Ni O 5
Abstract Using the density matrix renormalization-group technique, we calculate the impurity energy levels for two different effective models of off-chain doping for quasi-one-dimensional Heisenberg chain compound Y2 Ba Ni O5: ferromagnetic bond doping and antiferromagnetic site spin-1/2 doping. Thresholds of the impurity strength for the appearance of localized states are found for both models. However, the ground-state and low-energy excitations for weak impurity strength are different for these two models and the difference can be detected by experiments
Field-induced gap in the spin-1/2 antiferromagnetic Heisenberg chain: A density matrix renormalization group study
We study the spin-1/2 antiferromagnetic Heisenberg chain in both uniform and
(perpendicular) staggered magnetic fields using the density-matrix
renormalization-group method. This model has been shown earlier to describe the
physics of the copper benzoate materials in magnetic field. In the present
work, we extend the study to more general case for a systematic investigation
of the field-induced gap and related properties of the spin-1/2
antiferromagnetic Heisenberg chain. In particular, we explore the high magnetic
field regime where interesting behaviors in the field-induced gap,
magnetization, and spin correlation functions are found. Careful examination of
the low energy properties and magnetization reveals interesting competing
effects of the staggered and uniform fields. The incommensurate behavior in the
spin correlation functions is demonstrated and discussed in detail. The present
work reproduces earlier results in good agreement with experimental data on
copper benzoate and predicts new interesting field-induced features at very
high magnetic field.Comment: 8 pages, 6 figure
Topological effects at short antiferromagnetic Heisenberg chains
The manifestations of topological effects in finite antiferromagnetic
Heisenberg chains is examined by density matrix renormalization group technique
in this paper. We find that difference between integer and half-integer spin
chains shows up in ground state energy per site when length of spin chain is
longer than , where is a spin-spin correlation
length, for spin magnitude S up to 5/2. For open chains with spin magnitudes
to S=5, we verify that end states with fractional spin quantum numbers
exist and are visible even when the chain length is much smaller than the
correlation length . The end states manifest themselves in the structure
of the low energy excitation spectrum.Comment: 4 pages, 6 figure
Finite Size Scaling for Low Energy Excitations in Integer Heisenberg Spin Chains
In this paper we study the finite size scaling for low energy excitations of
and Heisenberg chains, using the density matrix renormalization
group technique. A crossover from behavior (with as the chain length)
for medium chain length to scaling for long chain length is found for
excitations in the continuum band as the length of the open chain increases.
Topological spin excitations are shown to give rise to the two lowest
energy states for both open and periodic chains. In periodic chains these
two excitations are ``confined'' next to each other, while for open chains they
are two free edge 1/2 spins. The finite size scaling of the two lowest energy
excitations of open chains is determined by coupling the two free edge
spins. The gap and correlation length for open Heisenberg chains
are shown to be 0.082 (in units of the exchange ) and 47, respectively.Comment: 4 pages (two column), PS file, to be appear as a PRB Brief Repor
Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains
We report our density matrix renormalization-group and analytical work on S=1
antiferromagnetic Heisenberg spin chains. We study the finite size behavior
within the framework of the non-linear sigma model. We study the effect of
magnon-magnon interactions on the finite size spectrum and on the magnetization
curve close to the critical magnetic field, determine the magnon scattering
length and compare it to the prediction from the non-linear model.Comment: 28 pages, 8 figures, made substantial improvement
Impurity in a Luttinger liquid away from half-filling: a numerical study
Conformal field theory gives quite detailed predictions for the low energy
spectrum and scaling exponents of a massless Luttinger liquid at generic
filling in the presence of an impurity. While these predictions were verified
for half-filled systems, there was till now no analysis away from this
particular filling. Here, we fill in this gap by numerically investigating a
quarter-filled system using the density matrix renormalization group technique.
Our results confirm conformal field theory predictions, and suggest that they
are indeed valid for arbitrary fillings.Comment: 9 pages (include figures), one reference added in this new versio