53 research outputs found
Critical behavior of Ginzburg-Landau model coupled to massless Dirac fermions
We point out interesting effects of additional massless Dirac fermions with
N_F colors upon the critical behavior of the Ginzburg-Landau model. For
increasing N_F, the model is driven into the type II regime of
superconductivity. The critical exponents are given as a function of N_F.Comment: RevTex4, 4 pages, 1 figure; author information and latest update to
this paper at http://www.physik.fu-berlin.de/~kleinert/institution.html;
version 2: new references and comments on chiral symmetry breaking adde
Nearest-neighbour Attraction Stabilizes Staggered Currents in the 2D Hubbard Model
Using a strong-coupling approach, we show that staggered current vorticity
does not obtain in the repulsive 2D Hubbard model for large on-site Coulomb
interactions, as in the case of the copper oxide superconductors. This trend
also persists even when nearest-neighbour repulsions are present. However,
staggered flux ordering emerges {\bf only} when attractive nearest-neighbour
Coulomb interactions are included. Such ordering opens a gap along the
direction and persists over a reasonable range of doping.Comment: 5 pages with 5 .eps files (Typos in text are corrected
N\'eel transition, spin fluctuations, and pseudogap in underdoped cuprates by a Lorentz invariant four-fermion model in 2+1 dimensions
We show that the N\'eel transition and spin fluctuations near the N\'eel
transition in planar cuprates can be described by an SU(2) invariant
relativistic four-fermion model in 2+1 dimensions. Features of the pseudogap
phenomenon are naturally described by the appearance of an anomalous dimension
for the spinon propagator.Comment: 5 pages, 2 figures (revtex4). Final revised and corrected versio
Violation of the Wiedemann-Franz Law in a Large-N Solution of the t-J Model
We show that the Wiedemann-Franz law, which holds for Landau Fermi liquids,
breaks down in a large-n treatment of the t-J model. The calculated ratio of
the in-plane thermal and electrical conductivities agrees quantitatively with
experiments on the normal state of the electron-doped Pr_{2-x}Ce_xCuO_4 (x =
0.15) cuprate superconductor. The violation of the Wiedemann-Franz law in the
uniform phase contrasts with other properties of the phase that are Fermi
liquid like.Comment: 4 pages, 2 figures. Typos corrected, one added reference, revised
discussion of experiment on 214 cuprate material (x = 0.06
organic crystals: superconducting versus antiferromagnetic instabilities in an anisotropic triangular lattice Hubbard model
A Hubbard model at half-filling on an anisotropic triangular lattice has been
proposed as the minimal model to describe conducting layers of
organic materials. The model interpolates between the
square lattice and decoupled chains. The materials
present many similarities with cuprates, such as the presence of unconventional
metallic properties and the close proximity of superconducting and
antiferromagnetic phases. As in the cuprates, spin fluctuations are expected to
play a crucial role in the onset of superconductivity. We perform a
weak-coupling renormalization-group analysis to show that a superconducting
instability occurs. Frustration in the antiferromagnetic couplings, which
arises from the underlying geometrical arrangement of the lattice, breaks the
perfect nesting of the square lattice at half-filling. The spin-wave
instability is suppressed and a superconducting instability predominates. For
the isotropic triangular lattice, there are again signs of long-range magnetic
order, in agreement with studies at strong-coupling.Comment: 4 pages, 5 eps figs, to appear in Can. J. Phys. (proceedings of the
Highly Frustrated Magnetism (HFM-2000) conference, Waterloo, Canada, June
2000
Supersymmetry and Localization in the Quantum Hall Effect
We study the localization transition in the integer quantum Hall effect as
described by the network model of quantum percolation. Starting from a path
integral representation of transport Green's functions for the network model,
which employs both complex (bosonic) and Grassman (fermionic) fields, we map
the problem of localization to the problem of diagonalizing a one-dimensional
non-Hermitian Hamiltonian of interacting bosons and fermions. An exact solution
is obtained in a restricted subspace of the Hilbert space which preserves
boson-fermion supersymmetry. The physically relevant regime is investigated
using the density matrix renormalization group (DMRG) method, and critical
behavior is found at the plateau transition.Comment: 14 RevTex pages, 3 eps figures; This revised version contains an
extended disussion of supersymmetry and improved numerical result
Hidden long range order in Heisenberg Kagome antiferromagnets
We give a physical picture of the low-energy sector of the spin 1/2
Heisenberg Kagome antiferromagnet (KAF). It is shown that Kagome lattice can be
presented as a set of stars which are arranged in a triangular lattice and
contain 12 spins. Each of these stars has two degenerate singlet ground states
which can be considered in terms of pseudospin. As a result of interaction
between stars we get Hamiltonian of the Ising ferromagnet in magnetic field. So
in contrast to the common view there is a long range order in KAF consisting of
definite singlet states of the stars.Comment: 4 pages, 3 figures, submitted to Physical Review Letter
A planar diagram approach to the correlation problem
We transpose an idea of 't Hooft from its context of Yang and Mills' theory
of strongly interacting quarks to that of strongly correlated electrons in
transition metal oxides and show that a Hubbard model of N interacting electron
species reduces, to leading orders in N, to a sum of almost planar diagrams.
The resulting generating functional and integral equations are very similar to
those of the FLEX approximation of Bickers and Scalapino. This adds the Hubbard
model at large N to the list of solvable models of strongly correlated
electrons.
PACS Numbers: 71.27.+a 71.10.-w 71.10.FdComment: revtex, 5 pages, with 3 eps figure
Orbital currents and charge density waves in a generalized Hubbard ladder
We study a generalized Hubbard model on the two-leg ladder at zero
temperature, focusing on a parameter region with staggered flux (SF)/d-density
wave (DDW) order. To guide our numerical calculations, we first investigate the
location of a SF/DDW phase in the phase diagram of the half-filled weakly
interacting ladder using a perturbative renormalization group (RG) and
bosonization approach. For hole doping delta away from half-filling,
finite-size density-matrix renormalization-group (DMRG) calculations are used
to study ladders with up to 200 rungs for intermediate-strength interactions.
In the doped SF/DDW phase, the staggered rung current and the rung electron
density both show periodic spatial oscillations, with characteristic
wavelengths 2/delta and 1/delta, respectively, corresponding to ordering
wavevectors 2k_F and 4k_F for the currents and densities, where 2k_F =
pi(1-delta). The density minima are located at the anti-phase domain walls of
the staggered current. For sufficiently large dopings, SF/DDW order is
suppressed. The rung density modulation also exists in neighboring phases where
currents decay exponentially. We show that most of the DMRG results can be
qualitatively understood from weak-coupling RG/bosonization arguments. However,
while these arguments seem to suggest a crossover from non-decaying
correlations to power-law decay at a length scale of order 1/delta, the DMRG
results are consistent with a true long-range order scenario for the currents
and densities.Comment: 24 pages, 17 figures. Follow-up to cond-mat/0209444. (v2) Some
revisions in text, improved presentation. Minor changes in title, abstract
and reference
Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
We propose that underdoped high superconductors are described by an
algebraic spin liquid (ASL) at high energies, which undergoes a spin-charge
recombination transition at low energies. The spin correlation in the ASL is
calculated via its effective theory - a system of massless Dirac fermions
coupled to a U(1) gauge field. We find that without fine tuning any parameters
the gauge interaction strongly enhances the staggered spin correlation even in
the presence of a large single particle pseudo-gap. This allows us to show that
the ASL plus spin-charge recombination picture can explain many highly unusual
properties of underdoped high superconductors.Comment: 22 pages, 18 figures, submitted to PR
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