55 research outputs found
'Hole-digging' in ensembles of tunneling Molecular Magnets
The nuclear spin-mediated quantum relaxation of ensembles of tunneling
magnetic molecules causes a 'hole' to appear in the distribution of internal
fields in the system. The form of this hole, and its time evolution, are
studied using Monte Carlo simulations. It is shown that the line-shape of the
tunneling hole in a weakly polarised sample must have a Lorentzian lineshape-
the short-time half-width in all experiments done so far should be
, the half-width of the nuclear spin multiplet. After a time
, the single molecule tunneling relaxation time, the hole width begins
to increase rapidly. In initially polarised samples the disintegration of
resonant tunneling surfaces is found to be very fast.Comment: 4 pages, 5 figure
Cluster Monte Carlo Algorithm for the Quantum Rotor Model
We propose a highly efficient "worm" like cluster Monte Carlo algorithm for
the quantum rotor model in the link-current representation. We explicitly prove
detailed balance for the new algorithm even in the presence of disorder. For
the pure quantum rotor model with the new algorithm yields high
precision estimates for the critical point and the correlation
length exponent . For the disordered case, , we
find .Comment: 5 pages, 3 figure
Continuous Time Quantum Monte Carlo Method for Fermions: Beyond Auxiliary Field Framework
Numerically exact continuous-time Quantum Monte Carlo algorithm for finite
fermionic systems with non-local interactions is proposed. The scheme is
particularly applicable for general multi-band time-dependent correlations
since it does not invoke Hubbard-Stratonovich transformation. The present
determinantal grand-canonical method is based on a stochastic series expansion
for the partition function in the interaction representation. The results for
the Green function and for the time-dependent susceptibility of multi-orbital
super-symmetric impurity model with a spin-flip interaction are presented
Quantum Phase Interference for Quantum Tunneling in Spin Systems
The point-particle-like Hamiltonian of a biaxial spin particle with external
magnetic field along the hard axis is obtained in terms of the potential field
description of spin systems with exact spin-coordinate correspondence. The
Zeeman energy term turns out to be an effective gauge potential which leads to
a nonintegrable pha se of the Euclidean Feynman propagator.
The phase interference between clockwise and anticlockwise under barrier
propagations is recognized explicitly as the Aharonov-Bohm effect. An
additional phase which is significant for quantum phase interference is
discovered with the quantum theory of spin systems besides the known phase
obtained with the semiclassical treatment of spin. We also show the energ y
dependence of the effect and obtain the tunneling splitting at excited states
with the help of periodic instantons.Comment: 19 pages, no figure, to appear in PR
Ground-state dispersion and density of states from path-integral Monte Carlo. Application to the lattice polaron
A formula is derived that relates the ground-state dispersion of a many-body
system with the end-to-end distribution of paths with open boundary conditions
in imaginary time. The formula does not involve the energy estimator. It allows
direct measurement of the ground-state dispersion by quantum Monte Carlo
methods without analytical continuation or auxiliary fitting. The formula is
applied to the lattice polaron problem. The exact polaron spectrum and density
of states are calculated for several models in one, two, and three dimensions.
In the adiabatic regime of the Holstein model, the polaron density of states
deviates spectacularly from the free-particle shape.Comment: 8 pages, 9 figure
Luminescence from highly excited nanorings: Luttinger liquid description
We study theoretically the luminescence from quantum dots of a ring geometry.
For high excitation intensities, photoexcited electrons and holes form Fermi
seas. Close to the emission threshold, the single-particle spectral lines
aquire weak many-body satellites. However, away from the threshold, the
discrete luminescence spectrum is completely dominated by many-body
transitions. We employ the Luttinger liquid approach to exactly calculate the
intensities of all many-body spectral lines. We find that the transition from
single-particle to many-body structure of the emission spectrum is governed by
a single parameter and that the distribution of peaks away from the threshold
is universal.Comment: 10 pages including 2 figure
Orthogonality catastrophe in a one-dimensional system of correlated electrons
We present a detailed numerical study of the orthogonality catastrophe
exponent for a one-dimensional lattice model of spinless fermions with nearest
neighbor interaction using the density matrix remormalization group algorithm.
Keeping up to 1200 states per block we achieve a very great accuracy for the
overlap which is needed to extract the orthogonality exponent reliably. We
discuss the behavior of the exponent for three different kinds of a localized
impurity. For comparison we also discuss the non-interacting case. In the weak
impurity limit our results for the overlap confirm scaling behavior expected
from perturbation theory and renormalization group calculations. In particular
we find that a weak backward scattering component of the orthogonality exponent
scales to zero for attractive interaction. In the strong impurity limit and for
repulsive interaction we demonstrate that the orthogonality exponent cannot be
extracted from the overlap for systems with up to 100 sites, due to finite size
effects. This is in contradiction to an earlier interpretation given by Qin et
al. based on numerical data for much smaller system sizes. Neverthless we find
indirect evidence that the backward scattering contribution to the exponent
scales to 1/16 based on predictions of boundary conformal field theory.Comment: 16 pages, Latex, 8 eps figures, submitted to Phys. Rev.
Critical Behavior of the Random Potts Chain
We study the critical behavior of the random q-state Potts quantum chain by
density matrix renormalization techniques. Critical exponents are calculated by
scaling analysis of finite lattice data of short chains () averaging
over all possible realizations of disorder configurations chosen according to a
binary distribution. Our numerical results show that the critical properties of
the model are independent of q in agreement with a renormalization group
analysis of Senthil and Majumdar (Phys. Rev. Lett.{\bf 76}, 3001 (1996)). We
show how an accurate analysis of moments of the distribution of magnetizations
allows a precise determination of critical exponents, circumventing some
problems related to binary disorder. Multiscaling properties of the model and
dynamical correlation functions are also investigated.Comment: LaTeX2e file with Revtex, 9 pages, 8 eps figures, 4 tables; typos
correcte
Exact Fermi-edge singularity exponent in a Luttinger liquid
We report the exact calculation of the Fermi-edge singularity exponent for
correlated electrons in one dimension (Luttinger liquid). Focusing on the
special interaction parameter g=1/2, the asymptotic long-time behavior can be
obtained using the Wiener-Hopf method. The result confirms the previous
assumption of an open boundary fixed point. In addition, a dynamic k-channel
Kondo impurity is studied via Abelian bosonization for k=2 and k=4. It is shown
that the corresponding orthogonality exponents are related to the orthogonality
exponent in a Luttinger liquid.Comment: 8 Pages RevTeX, no figure
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