605 research outputs found
Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain
We have investigated Haldane's conjecture for the S=2 isotropic
antiferromagnetic quantum spin chain with nearest-neighbor exchange J. Using a
density matrix renormalization group algorithm for chains up to L=350 spins, we
find in the thermodynamic limit a finite spin gap of Delta = 0.085(5)J and a
finite spin-spin correlation length xi = 49(1) lattice spacings. We establish
the ground state energy per bond to be E_0=-4.761248(1)J. We show that the
ground state has a hidden topological order that is revealed in a nonlocal
string correlation function. This means that the physics of the S=2 chain can
be captured by a valence-bond solid description. We also observe effective free
spin-1 states at the ends of an open S=2 chain.Comment: 6 pages, LaTeX 2.09, 3 PostScript figure
Magnetization process from Chern-Simons theory and its application to SrCu(BO)
URL: http://www-spht.cea.fr/articles/T02/081 16th Nishinomiya-Yukawa Memorial Symposium, Nishinomiya, Japan, November 2001 http://fr.arxiv.org/abs/cond-mat/0204161In two-dimensional systems, it is possible transmute bosons into fermions by use of a Chern-Simons gauge field. Such a mapping is used to compute magnetization processes of two-dimensional magnets. The calculation of the magnetization curve then involves the structure of the Hofstadter problem for the lattice under consideration. Certain features of the Hofstadter butterfly are shown to imply the appearance of magnetization plateaus. While not always successfull, this approach leads to interesting results when applied to the 2D AF magnet \SrCu
Critical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice
URL: http://www-spht.cea.fr/articles/T93/015 http://fr.arxiv.org/abs/cond-mat/9302019International audienceWe estimate, using Monte Carlo simulation, the critical exponents of the anti-ferromagnetic model on a stacked triangular lattice. We get This is compatible with the fixed point, as suggested by the expansion, and in disagreement with the expansion. Our results are in contradiction with previous Monte Carlo estimates
Universality in the Gross-Neveu model
We consider universal finite size effects in the large-N limit of the
continuum Gross-Neveu model as well as in its discretized versions with Wilson
and with staggered fermions. After extrapolation to zero lattice spacing the
lattice results are compared to the continuum values.Comment: Lattice2004(theory
Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
We consider two-component one-dimensional quantum gases at special imbalanced
commensurabilities which lead to the formation of multimer (multi-particle
bound-states) as the dominant order parameter. Luttinger liquid theory supports
a mode-locking mechanism in which mass (or velocity) asymmetry is identified as
the key ingredient to stabilize such states. While the scenario is valid both
in the continuum and on a lattice, the effects of umklapp terms relevant for
densities commensurate with the lattice spacing are also mentioned. These ideas
are illustrated and confronted with the physics of the asymmetric
(mass-imbalanced) fermionic Hubbard model with attractive interactions and
densities such that a trimer phase can be stabilized. Phase diagrams are
computed using density-matrix renormalization group techniques, showing the
important role of the total density in achieving the novel phase. The effective
physics of the trimer gas is as well studied. Lastly, the effect of a parabolic
confinement and the emergence of a crystal phase of trimers are briefly
addressed. This model has connections with the physics of imbalanced
two-component fermionic gases and Bose-Fermi mixtures as the latter gives a
good phenomenological description of the numerics in the strong-coupling
regime.Comment: 17 pages, 15 figure
Stability and Pairing in Quasi-One-Dimensional Bose-Fermi Mixtures
We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional "tubes." For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse. Moreover, above a critical intertube hopping, all first-order instabilities disappear in both attractive and repulsive mixtures. The possibility of suppressing instabilities in this system suggests a route towards the realization of paired phases, including a superfluid of p-wave pairs unique to the coupled-tube system, and quantum critical phenomena
quantum Heisenberg antiferromagnet on the triangular lattice: a group symmetry analysis of order by disorder
On the triangular lattice, for between and , the classical
Heisenberg model with first and second neighbor interactions presents
four-sublattice ordered ground-states. Spin-wave calculations of Chubukov and
Jolicoeur\cite{cj92} and Korshunov\cite{k93} suggest that quantum fluctuations
select amongst these states a colinear two-sublattice order. From theoretical
requirements, we develop the full symmetry analysis of the low lying levels of
the spin-1/2 Hamiltonian in the hypotheses of either a four or a two-sublattice
order. We show on the exact spectra of periodic samples ( and )
how quantum fluctuations select the colinear order from the four-sublattice
order.Comment: 15 pages, 4 figures (available upon request), Revte
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
Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
Exact spectra of periodic samples are computed up to .
Evidence of an extensive set of low lying levels, lower than the softest
magnons, is exhibited.
These low lying quantum states are degenerated in the thermodynamic limit;
their symmetries and dynamics as well as their finite-size scaling are strong
arguments in favor of N\'eel order.
It is shown that the N\'eel order parameter agrees with first-order spin-wave
calculations. A simple explanation of the low energy dynamics is given as well
as the numerical determinations of the energies, order parameter and spin
susceptibilities of the studied samples. It is shown how suitable boundary
conditions, which do not frustrate N\'eel order, allow the study of samples
with spins.
A thorough study of these situations is done in parallel with the more
conventional case .Comment: 36 pages, REVTeX 3.0, 13 figures available upon request, LPTL
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