11 research outputs found
"quasi-particles" in bosonization theory of interacting fermion liquids at arbitrary dimensions
Within bosonization theory we introduce in this paper a new definition of
"quasi-particles" for interacting fermions at arbitrary space dimenions. In
dimensions higher than one we show that the constructed quasi-particles are
consistent with quasi-particle descriptions in Landau Fermi liquid theory
whereas in one-dimension the quasi-particles" are non-perturbative objects
(spinons and holons) obeying fractional statistics. The more general situation
of Fermi liquids with singular Landau interaction is discussed.Comment: 10 page
Correlation Functions for Diffusion-Limited Annihilation, A + A -> 0
The full hierarchy of multiple-point correlation functions for
diffusion-limited annihilation, A + A -> 0, is obtained analytically and
explicitly, following the method of intervals. In the long time asymptotic
limit, the correlation functions of annihilation are identical to those of
coalescence, A + A -> A, despite differences between the two models in other
statistical measures, such as the interparticle distribution function
Critical exponents of a multicomponent anisotropic t-J model in one dimension
A recently presented anisotropic generalization of the multicomponent
supersymmetric model in one dimension is investigated. This model of
fermions with general spin- is solved by Bethe ansatz for the ground state
and the low-lying excitations. Due to the anisotropy of the interaction the
model possesses massive modes and one single gapless excitation. The
physical properties indicate the existence of Cooper-type multiplets of
fermions with finite binding energy. The critical behaviour is described by a
conformal field theory with continuously varying exponents depending on
the particle density. There are two distinct regimes of the phase diagram with
dominating density-density and multiplet-multiplet correlations, respectively.
The effective mass of the charge carriers is calculated. In comparison to the
limit of isotropic interactions the mass is strongly enhanced in general.Comment: 10 pages, 3 Postscript figures appended as uuencoded compressed
tar-file to appear in Z. Phys. B, preprint Cologne-94-474
Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction
By deriving and studying the coordinate representation for the one-spinon
one-holon wavefunction we show that spinons and holons in the supersymmetric model with interaction attract each other. The interaction causes
a probability enhancement in the one-spinon one-holon wavefunction at short
separation between the particles. We express the hole spectral function for a
finite lattice in terms of the probability enhancement, given by the one-spinon
one-holon wavefunction at zero separation. In the thermodynamic limit, the
spinon-holon attraction turns into the square-root divergence in the hole
spectral function.Comment: 20 pages, 3 .eps figure
Singularities in the Fermi liquid description of a partially filled Landau level and the energy gaps of fractional quantum Hall states
We consider a two dimensional electron system in an external magnetic field
at and near an even denominator Landau level filling fraction. Using a
fermionic Chern--Simons approach we study the description of the system's low
energy excitations within an extension of Landau's Fermi liquid theory. We
calculate perturbatively the effective mass and the quasi--particle interaction
function characterizing this description. We find that at an even denominator
filling fraction the fermion's effective mass diverges logarithmically at the
Fermi level, and argue that this divergence allows for an {\it exact}
calculation of the energy gaps of the fractional quantized Hall states
asymptotically approaching these filling fractions. We find that the
quasi--particle interaction function approaches a delta function. This singular
behavior leads to a cancelation of the diverging effective mass from the long
wavelength low frequency linear response functions at even denominator filling
fractions.Comment: 46 pages, RevTeX, 5 figures included in a uuencoded postscript file.
Minor revisions relative to the original version. The paper will be published
in the Physical Review B, and can be retrieved from the World Wide Web, in
http://cmtw.harvard.edu/~ster
Exact diagonalization of the generalized supersymmetric t-J model with boundaries
We study the generalized supersymmetric model with boundaries in three
different gradings: FFB, BFF and FBF. Starting from the trigonometric R-matrix,
and in the framework of the graded quantum inverse scattering method (QISM), we
solve the eigenvalue problems for the supersymmetric model. A detailed
calculations are presented to obtain the eigenvalues and Bethe ansatz equations
of the supersymmetric model with boundaries in three different
backgrounds.Comment: Latex file, 32 page
Hard-core bosonization of the one-dimensional t-J model
The one-dimensional t-J
model Hamiltonian is realized by using hard-core boson operators. A
simple algorithm written in Mathematica based on a differential
realization of the hard-core bosons for finding exact solutions of
the model is proposed. As a simple example, some low-lying
excitation energies, the inverse compressibility, and the
superconducting structure factors, as well as the particle and spin
entanglement of a system with 8 sites are calculated. The results
not only confirm the validity of the hard-core boson picture, but
also indicate that a quantum phase transition near phase-separation
at zero temperature can also be recognized by the particle and spin
entanglement
Insulating phases of the one-dimensional t-J model with nearest-neighbor repulsive interaction
Using the deformed Hubbard operator approach, we analytically study weak-coupling phase diagram of the one-dimensional t-J-V model at half filling. In the case of small deformed parameter ζ(≪1), the interactions induced by the no double occupancy constraint are softened, accessible by the bosonization field theory and the renormalization group technique. The ground state exhibits insulating behavior of density-wave correlations. The bond-spin-density-wave (BSDW) and bond-charge-density-wave (BCDW) phases are realized in the whole weak-coupling regime while the charge-density-wave (CDW) and spin-density-wave (SDW) phases depend on V/J > (V/J) c or V/J > (V/J) c , where (V/J) c =1/4. Furthermore, our results are expected to adiabatically continue back to ζ=1. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011