2,002 research outputs found
Polar Molecules with Three-Body Interactions on the Honeycomb Lattice
We study the phase diagram of ultra-cold bosonic polar molecules loaded on a
two-dimensional optical lattice of hexagonal symmetry controlled by external
electric and microwave fields. Following a recent proposal in Nature Physics
\textbf{3}, 726 (2007), such a system is described by an extended Bose-Hubbard
model of hard-core bosons, that includes both extended two- and three-body
repulsions. Using quantum Monte-Carlo simulations, exact finite cluster
calculations and the tensor network renormalization group, we explore the rich
phase diagram of this system, resulting from the strongly competing nature of
the three-body repulsions on the honeycomb lattice. Already in the classical
limit, they induce complex solid states with large unit cells and macroscopic
ground state degeneracies at different fractional lattice fillings. For the
quantum regime, we obtain effective descriptions of the various phases in terms
of emerging valence bond crystal states and quantum dimer models. Furthermore,
we access the experimentally relevant parameter regime, and determine the
stability of the crystalline phases towards strong two-body interactions
The ALPS project release 1.3: open source software for strongly correlated systems
We present release 1.3 of the ALPS (Algorithms and Libraries for Physics
Simulations) project, an international open source software project to develop
libraries and application programs for the simulation of strongly correlated
quantum lattice models such as quantum magnets, lattice bosons, and strongly
correlated fermion systems. Development is centered on common XML and binary
data formats, on libraries to simplify and speed up code development, and on
full-featured simulation programs. The programs enable non-experts to start
carrying out numerical simulations by providing basic implementations of the
important algorithms for quantum lattice models: classical and quantum Monte
Carlo (QMC) using non-local updates, extended ensemble simulations, exact and
full diagonalization (ED), as well as the density matrix renormalization group
(DMRG). Changes in the new release include a DMRG program for interacting
models, support for translation symmetries in the diagonalization programs, the
ability to define custom measurement operators, and support for inhomogeneous
systems, such as lattice models with traps. The software is available from our
web server at http://alps.comp-phys.org/
Field induced ordering in highly frustrated antiferromagnets
We predict that an external field can induce a spin order in highly
frustrated classical Heisenberg magnets. We find analytically stabilization of
collinear states by thermal fluctuations at a one-third of the saturation field
for kagome and garnet lattices and at a half of the saturation field for
pyrochlore and frustrated square lattices. This effect is studied numerically
for the frustrated square-lattice antiferromagnet by Monte Carlo simulations
for classical spins and by exact diagonalization for . The field induced
collinear states have a spin gap and produce magnetization plateaus.Comment: 4 pages, new analytical proof the order by disorder by thermal
fluctuations is adde
Real Space Renormalization Group Study of the S=1/2 XXZ Chains with Fibonacci Exchange Modulation
Ground state properties of the S=1/2 antiferromagnetic XXZ chain with
Fibonacci exchange modulation are studied using the real space renormalization
group method for strong modulation. The quantum dynamical critical behavior
with a new universality class is predicted in the isotropic case. Combining our
results with the weak coupling renormalization group results by Vidal et al.,
the ground state phase diagram is obtained.Comment: 9 pages, 9 figure
Bosonic t-J Model in a stacked triangular lattice and its phase diagram
In this paper, we study phase diagram of a system of two-component hard-core
bosons with nearest-neighbor (NN) pseudo-spin antiferromagnetic (AF)
interactions in a stacked triangular lattice. Hamiltonian of the system
contains three parameters one of which is the hopping amplitude between NN
sites, and the other two are the NN pseudo-spin exchange interaction and
the one that measures anisotropy of pseudo-spin interactions. We investigate
the system by means of the Monte-Carlo simulations and clarify the
low-temperature phase diagram. In particular, we are interested in how the
competing orders, i.e., AF order and superfluidity, are realized, and also
whether supersolid forms as a result of hole doping into the state of the
pseudo-spin pattern with the structure.Comment: 18 pages, 17 figures, Version to appear in J.Phys.Soc.Jp
Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas
We present results from quantum Monte Carlo simulations of trapped bosons in
optical lattices, focusing on the crossover from a gas of softcore bosons to a
Tonks-Girardeau gas in a one-dimensional optical lattice. We find that
depending on the quantity being measured, the behavior found in the
Tonks-Girardeau regime is observed already at relatively small values of the
interaction strength. A finite critical value for entering the Tonks-Girardeau
regime does not exist. Furthermore, we discuss the computational efficiency of
two quantum Monte Carlo methods to simulate large scale trapped bosonic
systems: directed loops in stochastic series expansions and the worm algorithm.Comment: 7 pages with 9 figures;v2: improved discussion on Tonks-Girardeau ga
Emergence of magnetism in graphene materials and nanostructures
Magnetic materials and nanostructures based on carbon offer unique
opportunities for future technological applications such as spintronics. This
article reviews graphene-derived systems in which magnetic correlations emerge
as a result of reduced dimensions, disorder and other possible scenarios. In
particular, zero-dimensional graphene nanofragments, one-dimensional graphene
nanoribbons, and defect-induced magnetism in graphene and graphite are covered.
Possible physical mechanisms of the emergence of magnetism in these systems are
illustrated with the help of computational examples based on simple model
Hamiltonians. In addition, this review covers spin transport properties,
proposed designs of graphene-based spintronic devices, magnetic ordering at
finite temperatures as well as the most recent experimental achievements.Comment: tutorial-style review article -- 18 pages, 19 figure
Inhomogeneously doped two-leg ladder systems
A chemical potential difference between the legs of a two-leg ladder is found
to be harmful for Cooper pairing. The instability of superconductivity in such
systems is analyzed by compairing results of various analytical and numerical
methods. Within a strong coupling approach for the t-J model, supplemented by
exact numerical diagonalization, hole binding is found unstable beyond a
finite, critical chemical potential difference. The spinon-holon mean field
theory for the t-J model shows a clear reduction of the the BCS gaps upon
increasing the chemical potential difference leading to a breakdown of
superconductivity. Based on a renormalization group approach and Abelian
bosonization, the doping dependent phase diagram for the weakly interacting
Hubbard model with different chemical potentials was determined.Comment: Revtex4, 11 pages, 7 figure
Low temperature properties of the fermionic mixtures with mass imbalance in optical lattice
We study the attractive Hubbard model with mass imbalance to clarify low
temperature properties of the fermionic mixtures in the optical lattice. By
combining dynamical mean-field theory with the continuous-time quantum Monte
Carlo simulation, we discuss the competition between the superfluid and density
wave states at half filling. By calculating the energy and the order parameter
for each state, we clarify that the coexisting (supersolid) state, where the
density wave and superfluid states are degenerate, is realized in the system.
We then determine the phase diagram at finite temperatures.Comment: 5 pages, 4 figures, accepted for publication in J. Phys. Soc. Jp
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