146 research outputs found
Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis
We compute specific heat of the antiferromagnetic spin-1/2 Heisenberg model
on the kagome lattice. We use a recently introduced technique to analyze
high-temperature series expansion based on the knowledge of high-temperature
series expansions, the total entropy of the system and the low-temperature
expected behavior of the specific heat as well as the ground-state energy. In
the case of kagome-lattice antiferromagnet, this method predicts a
low-temperature peak at T/J<0.1.Comment: 6 pages, 5 color figures (.eps), Revtex 4. Change in version 3: Fig.
5 has been corrected (it now shows data for 3 different ground-state
energies). The text is unchanged. v4: corrected an error in the temperature
scale of Fig. 5. (text unchanged
Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
Using exact diagonalizations, we investigate the T=0 phase diagram of the
Multi-Spin Exchange (MSE) model on the triangular lattice: we find a transition
separating a ferromagnetic phase from a non-magnetic gapped Spin Liquid phase.
Systems far enough from the ferromagnetic transition have a metamagnetic
behavior with magnetization plateaus at m/m_sat=0 and 1/2. The MSE has been
proposed to describe solid 3He films adsorbed onto graphite, thus we compute
the MSE heat capacity for parameters in the low density range of the 2nd layer
and find a double-peak structure.Comment: Revtex, 4 pages, 4 figures. Accepted to Phys. Rev. Let
SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
We construct a family of rotationally invariant, local, S=1/2 Klein
Hamiltonians on various lattices that exhibit ground state manifolds spanned by
nearest-neighbor valence bond states. We show that with selected perturbations
such models can be driven into phases modeled by well understood quantum dimer
models on the corresponding lattices. Specifically, we show that the
perturbation procedure is arbitrarily well controlled by a new parameter which
is the extent of decoration of the reference lattice. This strategy leads to
Hamiltonians that exhibit i) RVB phases in two dimensions, ii) U(1) RVB
phases with a gapless ``photon'' in three dimensions, and iii) a Cantor
deconfined region in two dimensions. We also construct two models on the
pyrochlore lattice, one model exhibiting a RVB phase and the other a U(1)
RVB phase.Comment: 16 pages, 15 figures; 1 figure and some references added; some minor
typos fixe
A Study of Activated Processes in Soft Sphere Glass
On the basis of long simulations of a binary mixture of soft spheres just
below the glass transition, we make an exploratory study of the activated
processes that contribute to the dynamics. We concentrate on statistical
measures of the size of the activated processes.Comment: 17 pages, 9 postscript figures with epsf, uses harvmac.te
Mode Coupling relaxation scenario in a confined glass former
Molecular dynamics simulations of a Lennard-Jones binary mixture confined in
a disordered array of soft spheres are presented. The single particle dynamical
behavior of the glass former is examined upon supercooling. Predictions of mode
coupling theory are satisfied by the confined liquid. Estimates of the
crossover temperature are obtained by power law fit to the diffusion
coefficients and relaxation times of the late region. The exponent
of the von Schweidler law is also evaluated. Similarly to the bulk, different
values of the exponent are extracted from the power law fit to the
diffusion coefficients and relaxation times.Comment: 5 pages, 4 figures, changes in the text, accepted for publication on
Europhysics Letter
Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
We determine numerically the ground state of the two-dimensional, fully
polarized electron gas within the Hartree-Fock approximation without imposing
any particular symmetries on the solutions. At low electronic densities, the
Wigner crystal solution is stable, but for higher densities ( less than
) we obtain a ground state of different symmetry: the charge density
forms a triangular lattice with about 11% more sites than electrons. We prove
analytically that this conducting state with broken translational symmetry has
lower energy than the uniform Fermi gas state in the high density region giving
rise to a metal to insulator transition.Comment: 13 pages, 5 figures, rewrite of 0804.1025 and 0807.077
Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
We compute the magnetic susceptibility and specific heat of the spin-1/2
Heisenberg model on the kagome lattice with high-temperature expansions and
exact diagonalizations. We compare the results with the experimental data on
ZnCu3(OH)6Cl2 obtained by Helton et al. [Phys. Rev. Lett. 98, 107204 (2007)].
Down to k_BT/J~0.2, our calculations reproduce accurately the experimental
susceptibility, with an exchange interaction J~190K and a contribution of 3.7%
of weakly interacting impurity spins. The comparison between our calculations
of the specific heat and the experiments indicate that the low-temperature
entropy (below ~20K) is smaller in ZnCu3(OH)6Cl2 than in the kagome Heisenberg
model, a likely signature of other interactions in the system.Comment: Minor revisions in the text and references. To appear in Eur. Phys.
J.
Exchange Frequencies in the 2d Wigner crystal
Using Path Integral Monte Carlo we have calculated exchange frequencies as
electrons undergo ring exchanges in a ``clean'' 2d Wigner crystal as a function
of density. The results show agreement with WKB calculations at very low
density, but show a more rapid increase with density near melting. Remarkably,
the exchange Hamiltonian closely resembles the measured exchanges in 2d He.
Using the resulting multi-spin exchange model we find the spin Hamiltonian for
r_s \leq 175 \pm 10 is a frustrated antiferromagnetic; its likely ground state
is a spin liquid. For lower density the ground state will be ferromagnetic
- …