506 research outputs found
Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
We study the phase diagram of the Hubbard model in the limit where U, the
onsite repulsive interaction, is much smaller than the bandwidth. We present an
asymptotically exact expression for T, the superconducting transition
temperature, in terms of the correlation functions of the non-interacting
system which is valid for arbitrary densities so long as the interactions are
sufficiently small. Our strategy for computing T involves first integrating
out all degrees of freedom having energy higher than an unphysical initial
cutoff . Then, the renormalization group (RG) flows of the resulting
effective action are computed and T is obtained by determining the scale
below which the RG flows in the Cooper channel diverge. We prove that T is
independent of . Using this method, we find a variety of
unconventional superconducting ground states in two and three dimensional
lattice systems and present explicit results for T and pairing symmetries
as a function of the electron concentration.Comment: 18 pages, 17 figure
Spin picture of the one-dimensional Hubbard model: Two-fluid structure and phase dynamics
We propose a scheme for investigating the quantum dynamics of interacting
electron models by means of time-dependent variational principle and spin
coherent states of space lattice operators. We apply such a scheme to the
one-dimensional hubbard model, and solve the resulting equations in different
regimes. In particular, we find that at low densities the dynamics is mapped
into two coupled nonlinear Schroedinger equations, whereas near half-filling
the model is described by two coupled Josephson junction arrays. Focusing then
to the case in which only the phases of the spin variables are dynamically
active, we examine a number of different solutions corresponding to the
excitations of few macroscopic modes. Based on fixed point equation of the
simpler among them, we show that the standard one-band ground state phase space
is found.Comment: 10 pages, 1 figure, to appear on Phys. Rev.
Time dependent mean field theory of the superfluid-insulator phase transition
We develop a time-dependent mean field approach, within the time-dependent
variational principle, to describe the Superfluid-Insulator quantum phase
transition. We construct the zero temperature phase diagram both of the
Bose-Hubbard model (BHM), and of a spin-S Heisenberg model (SHM) with the XXZ
anisotropy. The phase diagram of the BHM indicates a phase transition from a
Mott insulator to a compressibile superfluid phase, and shows the expected
lobe-like structure. The SHM phase diagram displays a quantum phase transition
between a paramagnetic and a canted phases showing as well a lobe-like
structure. We show how the BHM and Quantum Phase model (QPM) can be rigorously
derived from the SHM. Based on such results, the phase boundaries of the SHM
are mapped to the BHM ones, while the phase diagram of the QPM is related to
that of the SHM. The QPM's phase diagram obtained through the application of
our approach to the SHM, describes the known onset of the macroscopic phase
coherence from the Coulomb blockade regime for increasing Josephson coupling
constant. The BHM and the QPM phase diagrams are in good agreement with Quantum
Monte Carlo results, and with the third order strong coupling perturbative
expansion.Comment: 15 pages, 8 figures. To be published in Phys. Rev.
Spin- and charge-density waves in the Hartree-Fock ground state of the two-dimensional Hubbard model
The ground states of the two-dimensional repulsive Hubbard model are studied
within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge
properties are determined by systematic, large-scale, exact numerical
calculations, and quantified as a function of electron doping . In the
solution of the self-consistent UHF equations, multiple initial configurations
and simulated annealing are used to facilitate convergence to the global
minimum. New approaches are employed to minimize finite-size effects in order
to reach the thermodynamic limit. At low to moderate interacting strengths and
low doping, the UHF ground state is a linear spin-density wave (l-SDW), with
antiferromagnetic order and a modulating wave. The wavelength of the modulating
wave is . Corresponding charge order exists but is substantially weaker
than the spin order, hence holes are mobile. As the interaction is increased,
the l-SDW states evolves into several different phases, with the holes
eventually becoming localized. A simple pairing model is presented with
analytic calculations for low interaction strength and small doping, to help
understand the numerical results and provide a physical picture for the
properties of the SDW ground state. By comparison with recent many-body
calculations, it is shown that, for intermediate interactions, the UHF solution
provides a good description of the magnetic correlations in the true ground
state of the Hubbard model.Comment: 13 pages, 17 figure, 0 table
Bethe Ansatz solution of a new class of Hubbard-type models
We define one-dimensional particles with generalized exchange statistics. The
exact solution of a Hubbard-type Hamiltonian constructed with such particles is
achieved using the Coordinate Bethe Ansatz. The chosen deformation of the
statistics is equivalent to the presence of a magnetic field produced by the
particles themselves, which is present also in a ``free gas'' of these
particles.Comment: 4 pages, revtex. Essentially modified versio
Metal-Insulator Transitions in Degenerate Hubbard Models and AC
Mott-Hubbard metal-insulator transitions in -fold degenerate Hubbard
models are studied within the Gutzwiller approximation. For any rational
filling with (integer) electrons per site it is found that metal-insulator
transition occurs at a critical correlation energy
, where
is the band energy per particle for the uncorrelated Fermi-liquid state and
is a geometric factor which increases linearly with . We
propose that the alkali metal doped fullerides can be described by
a 3-fold degenerate Hubbard model. Using the current estimate of band width and
correlation energy this implies that most of , at integer ,
are Mott-Hubbard insulators and is a strongly correlated
metal.Comment: 10 pages, Revte
SHBG levels in primary infertile men : A critical interpretation in clinical practice
Objective: We aimed to test the association between age, BMI and sex-hormone\u2013binding globulin (SHBG) in a homogenous cohort of white-European men presenting for primary couple\u2019s infertility. Design: Retrospective study. Methods: Data from 1547 infertile men were analysed. Health-significant comorbidities were scored with the Charlson comorbidity index (CCI). Fasting serum hormones were measured in every patient. Age was considered according to quartile groups (<33, 33-41, >41 years) and BMI as normal weight (18.5\u201324.9 kg/m2), overweight (25.0\u201329.9 kg/m2) and obesity (>30 kg/m2). Descriptive statistics and linear regression analysis tested the associations between age, BMI and SHBG. Results: Median SHBG levels increased across quartiles of age and decreased along with BMI increases (all P < 0.001). For each year increase in age, SHBG increased 0.32 nmol/L; conversely, for each unit increase in BMI, SHBG decreased by 1.1 nmol/L (all P < 0.001). SHBG levels decline with increasing BMI was greater than SHBG progressive increase with age. Overall, BMI explained 3.0 times more of the variability in SHBG than did ageing. At multivariate linear model, age and BMI were the most significant factors influencing SHBG concentration (all P < 0.001), after accounting for CCI, albumin levels and smoking status. Conclusions: We found a wide distribution of SHBG concentrations across age and BMI values in primary infertile men. The association between BMI and lowered SHBG levels seems to be greater than the association of ageing with increased SHBG
Improved stability regions for ground states of the extended Hubbard model
The ground state phase diagram of the extended Hubbard model containing
nearest and next-to-nearest neighbor interactions is investigated in the
thermodynamic limit using an exact method. It is found that taking into account
local correlations and adding next-to-nearest neighbor interactions both have
significant effects on the position of the phase boundaries. Improved stability
domains for the -pairing state and for the fully saturated ferromagnetic
state at half filling have been constructed. The results show that these states
are the ground states for model Hamiltonians with realistic values of the
interaction parameters.Comment: 21 pages (10 figures are included) Revtex, revised version. To be
published in Phys. Rev. B. E-mail: [email protected]
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