4,635 research outputs found
On Models with Inverse-Square Exchange
A one-dimensional quantum N-body system of either fermions or bosons with
colors interacting via inverse-square exchange is presented in this
article. A class of eigenstates of both the continuum and lattice version of
the model Hamiltonians is constructed in terms of the Jastrow-product type wave
function. The class of states we construct in this paper corresponds to the
ground state and the low energy excitations of the model that can be described
by the effective harmonic fluid Hamiltonian. By expanding the energy about the
ground state we find the harmonic fluid parameters (i.e. the charge, spin
velocities, etc.), explicitly. The correlation exponent and the compressibility
of are also found. As expected the general harmonic relation(i.e.
) is satisfied among the charge and spin velocities.Comment: 26 page
Spinons in Conformal Field Theory
We study the conformal field theory in its spinon description,
adapted to the Yangian invariance. By evaluating the action of the Yangian
generators on the primary fields, we find a new connection between this
conformal field theory and the Calogero-Sutherland model with spin. We
use this connection to describe how the spinons are the quasi-particles
spanning the irreducible Yangian multiplet, and also to exhibit operators
creating the -spinon highest weight vectors.Comment: 18 page
Wigner Crystals in the lowest Landau level at low filling factors
We report on results of finite-size numerical studies of partially filled
lowest Landau level at low electron filling factors. We find convincing
evidence suggesting that electrons form Wigner Crystals at sufficiently low
filling factors, and the critical filling factor is close to 1/7. At nu=1/7 we
find the system undergoes a phase transition from Wigner Crystal to the
incompressible Laughlin state when the short-range part of the Coulomb
interaction is modified slightly. This transition is either continuous or very
weakly first order.Comment: 5 papges RevTex with 8 eps figures embedded in the tex
Conformal Field Theory on the Fermi Surface
The Fermi surface may be usefully viewed as a collection of 1+1 dimensional
chiral conformal field theories. This approach permits straightforward
calculation of many anomalous ground state properties of the Fermi gas
including entanglement entropy and number fluctuations. The 1+1 dimensional
picture also generalizes to finite temperature and the presence of
interactions. Finally, I argue that the low energy entanglement structure of
Fermi liquid theory is universal, depending only on the geometry of the
interacting Fermi surface.Comment: 4 pages + references, 2 figure
Two-dimensional anyons and the temperature dependence of commutator anomalies
The temperature dependence of commutator anomalies is discussed on the
explicit example of particular (anyonic) field operators in two dimensions. The
correlation functions obtained show that effects of the non-zero temperature
might manifest themselves not only globally but also locally.Comment: 11 pages, LaTe
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