38 research outputs found
Efficient Monte Carlo algorithm in quasi-one-dimensional Ising spin systems
We have developed an efficient Monte Carlo algorithm, which accelerates slow
Monte Carlo dynamics in quasi-one-dimensional Ising spin systems. The loop
algorithm of the quantum Monte Carlo method is applied to the classical spin
models with highly anisotropic exchange interactions. Both correlation time and
real CPU time are reduced drastically. The algorithm is demonstrated in the
layered triangular-lattice antiferromagnetic Ising model. We have obtained the
relation between the transition temperature and the exchange interaction
parameters, which modifies the result of the chain-mean-field theory.Comment: 4 pages, 3 figure
Machine learning as an improved estimator for magnetization curve and spin gap
The magnetization process is a very important probe to study magnetic
materials, particularly in search of spin-liquid states in quantum spin
systems. Regrettably, however, progress of the theoretical analysis has been
unsatisfactory, mostly because it is hard to obtain sufficient numerical data
to support the theory. Here we propose a machine-learning algorithm that
produces the magnetization curve and the spin gap well out of poor numerical
data. The plateau magnetization, its critical field and the critical exponent
are estimated accurately. One of the hyperparameters identifies by its score
whether the spin gap in the thermodynamic limit is zero or finite. After
checking the validity for exactly solvable one-dimensional models we apply our
algorithm to the kagome antiferromagnet. The magnetization curve that we obtain
from the exact-diagonalization data with 36 spins is consistent with the DMRG
results with 132 spins. We estimate the spin gap in the thermodynamic limit at
a very small but finite value.Comment: 10pages, 4figures. Revised and the algorithm improve
Relaxation of frustration and gap enhancement by the lattice distortion in the chain
We clarify an instability of the ground state of the chain against
the lattice distortion that increases a strength of a bond in each
triangle. It relaxes the frustration and causes a remarkable gap enhancement;
only a increase of causes the gap doubled from the
fully-frustrated case . The lowest excitation is revealed to be a
kink-antikink bound state whose correlation length decreases drastically with
increase. The enhancement follows a power law, , which can be obtained
from the exact result of the continuous model. This model describes a spin gap
behavior of the delafossite YCuO.Comment: 4 pages, REVTex, 6 figures in eps-files uuencode