4,402 research outputs found
Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction
By deriving and studying the coordinate representation for the two-spinon
wavefunction, we show that spinon excitations in the Haldane-Shastry model
interact. The interaction is given by a short-range attraction and causes a
resonant enhancement in the two-spinon wavefunction at short separations
between the spinons. We express the spin susceptibility for a finite lattice in
terms of the resonant enhancement, given by the two-spinon wavefunction at zero
separation. In the thermodynamic limit, the spinon attraction turns into the
square-root divergence in the dynamical spin susceptibility.Comment: 19 pages, 5 .eps figure
Geometry of flux attachment in anisotropic fractional quantum Hall states
Fractional quantum Hall (FQH) states are known to possess an internal metric
degree of freedom that allows them to minimize their energy when contrasting
geometries are present in the problem (e.g., electron band mass and dielectric
tensor). We investigate the internal metric of several incompressible FQH
states by probing its response to band mass anisotropy using infinite DMRG
simulations on a cylinder geometry. We test and apply a method to extract the
internal metric of a FQH state from its guiding center structure factor. We
find that the response to band mass anisotropy is approximately the same for
states in the same Jain sequence, but changes substantially between different
sequences. We provide a theoretical explanation of the observed behavior of
primary states at filling in terms of a minimal microscopic model
of flux attachment.Comment: 12 pages including references, 14 figure
Quantum Phase Interference in Magnetic Molecular Clusters
The Landau Zener model has recently been used to measure very small tunnel
splittings in molecular clusters of Fe8, which at low temperature behaves like
a nanomagnet with a spin ground state of S = 10. The observed oscillations of
the tunnel splittings as a function of the magnetic field applied along the
hard anisotropy axis are due to topological quantum interference of two tunnel
paths of opposite windings. Transitions between quantum numbers M = -S and (S -
n), with n even or odd, revealed a parity effect which is analogous to the
suppression of tunnelling predicted for half integer spins. This observation is
the first direct evidence of the topological part of the quantum spin phase
(Berry or Haldane phase) in a magnetic system. We show here that the quantum
interference can also be measured by ac susceptibility measurements in the
thermal activated regime.Comment: 3 pages, 2 figures, conference proceedings of LT22 (Helsinki,
Finland, August 4-11, 199
Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
We show that the particles in the Calogero-Sutherland Model obey fractional
exclusion statistics as defined by Haldane. We construct anyon number densities
and derive the energy distribution function. We show that the partition
function factorizes in the form characteristic of an ideal gas. The virial
expansion is exactly computable and interestingly it is only the second virial
coefficient that encodes the statistics information.Comment: 10pp, REVTE
Quantum Chemistry, Anomalous Dimensions, and the Breakdown of Fermi Liquid Theory in Strongly Correlated Systems
We formulate a local picture of strongly correlated systems as a Feynman sum
over atomic configurations. The hopping amplitudes between these atomic
configurations are identified as the renormalization group charges, which
describe the local physics at different energy scales. For a metallic system
away from half-filling, the fixed point local Hamiltonian is a generalized
Anderson impurity model in the mixed valence regime. There are three types of
fixed points: a coherent Fermi liquid (FL) and two classes of self-similar
(scale invariant) phases which we denote incoherent metallic states (IMS). When
the transitions between the atomic configurations proceed coherently at low
energies, the system is a Fermi liquid. Incoherent transitions between the low
energy atomic configurations characterize the incoherent metallic states. The
initial conditions for the renormalization group flow are determined by the
physics at rather high energy scales. This is the domain of local quantum
chemistry. We use simple quantum chemistry estimates to specify the basin of
attraction of the IMS fixed points.Comment: 12 pages, REVTE
Laughlin State on Stretched and Squeezed Cylinders and Edge Excitations in Quantum Hall Effect
We study the Laughlin wave function on the cylinder. We find it only
describes an incompressible fluid when the two lengths of the cylinder are
comparable. As the radius is made smaller at fixed area, we observe a
continuous transition to the charge density wave Tao-Thouless state. We also
present some exact properties of the wave function in its polynomial form. We
then study the edge excitations of the quantum Hall incompressible fluid
modeled by the Laughlin wave function. The exponent describing the fluctuation
of the edge predicted by recent theories is shown to be identical with
numerical calculations. In particular, for , we obtain the occupation
amplitudes of edge state for 4-10 electron size systems. When plotted as
a function of the scaled wave vector they become essentially free of
finite-size effects. The resulting curve obtains a very good agreement with the
appropriate infinite-size Calogero-Sutherland model occupation numbers.
Finally, we numerically obtain of the edge excitations for some pairing
states which may be relevant to the incompressible Hall state.Comment: 25 pages revtex, 9 uuencoded figures, submitted separately, also
available from first author. CSULA-94-1
Voltage-biased quantum wire with impurities
The bosonization technique to describe correlated electrons in a
one-dimensional quantum wire containing impurities is extended to include an
applied voltage source. The external reservoirs are shown to lead to a boundary
condition for the boson phase fields. We use the formalism to investigate the
channel conductance, electroneutrality, and charging effects.Comment: 4 pages REVTeX, incl one figure, to appear in Phys.Rev.Let
Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
We calculate the exact dynamical magnetic structure factor S(Q,E) in the
ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2
spinon excitations, the Haldane-Shastry model with inverse-square exchange,
which is in the same low-energy universality class as Bethe's nearest-neighbor
exchange model. Only two-spinon excited states contribute, and S(Q,E) is found
to be a very simple integral over these states.Comment: 11 pages, LaTeX, RevTeX 3.0, cond-mat/930903
Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids
We achieve a bosonization of one-dimensional ideal gas of exclusion
statistics at low temperatures, resulting in a new variant of
conformal field theory with compactified radius . These
ideal excluson gases exactly reproduce the low- critical properties of
Luttinger liquids, so they can be used to characterize the fixed points of the
latter. Generalized ideal gases with mutual statistics and non-ideal gases with
Luttinger-type interactions have also similar behavior, controlled by an
effective statistics varying in a fixed-point line.Comment: 13 pages, revte
Transition from quantum Hall to compressible states in the second Landau level: new light on the =5/2 enigma
Quantum Hall states at filling fraction =5/2 are examined by numerical
diagonalization. Spin-polarized and -unpolarized states of systems with electrons are studied, neglecting effects of Landau level mixing. We find
that the ground state is spin polarized. It is incompressible and has a large
overlap with paired states like the Pfaffian. For a given sample, the energy
gap is about 11 times smaller than at =1/3. Evidence is presented of phase
transitions to compressible states, driven by the interaction strength at short
distance. A reinterpretation of experiments is suggested.Comment: This paper has already appeared in PRL, but has not been on the we
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