105 research outputs found
Ising t-J model close to half filling: A Monte Carlo study
Within the recently proposed doped-carrier representation of the projected
lattice electron operators we derive a full Ising version of the t-J model.
This model possesses the global discrete Z_2 symmetry as a maximal spin
symmetry of the Hamiltonian at any values of the coupling constants, t and J.
In contrast, in the spin anisotropic limit of the t-J model, usually referred
to as the t-J_z model, the global SU(2) invariance is fully restored at J_z=0,
so that only the spin-spin interaction has in that model the true Ising form.
We discuss a relationship between those two models and the standard isotropic
t-J model. We show that the low-energy quasiparticles in all three models share
the qualitatively similar properties at low doping and small values of J/t. The
main advantage of the proposed Ising t-J model over the t-J_z one is that the
former allows for the unbiased Monte Carlo calculations on large clusters of up
to 10^3 sites. Within this model we discuss in detail the destruction of the
antiferromagnetic order by doping as well as the interplay between the AF order
and hole mobility. We also discuss the effect of the exchange interaction and
that of the next nearest neighbour hoppings on the destruction of the AF order
at finite doping. We show that the short-range AF order is observed in a wide
range of temperatures and dopings, much beyond the boundaries of the AF phase.
We explicitly demonstrate that the local no double occupancy constraint plays
the dominant role in destroying the magnetic order at finite doping. Finally, a
role of inhomogeneities is discussed.Comment: 24 pages, 10 figure
Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
The recent experimental support for the presence of the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase in the CeCoIn5 directed the
attention towards the mechanisms responsible for this type of
superconductivity. We investigate the FFLO state in a model where
on--site/inter--site pairing coexists with repulsive pair hopping interaction.
The latter interaction is interesting in that it leads to pairing with nonzero
momentum of the Cooper pairs even in the absence of the external magnetic field
(the so-called eta-pairing). It turns out that depending on the strength of the
pair hopping interaction the magnetic field can induce one of two types of the
FFLO phase with different spatial modulations of the order parameter. It is
argued that the properties of the FFLO phase may give information about the
magnitude of the pair hopping interaction. We also show that eta-pairing and
d-wave superconductivity may coexist in the FFLO state. It holds true also for
superconductors which in the absence of magnetic field are of pure d-wave type.Comment: 16 pages, 8 figure
Phase separation in a lattice model of a superconductor with pair hopping
We have studied the extended Hubbard model with pair hopping in the atomic
limit for arbitrary electron density and chemical potential. The Hamiltonian
considered consists of (i) the effective on-site interaction U and (ii) the
intersite charge exchange interactions I, determining the hopping of electron
pairs between nearest-neighbour sites. The model can be treated as a simple
effective model of a superconductor with very short coherence length in which
electrons are localized and only electron pairs have possibility of
transferring. The phase diagrams and thermodynamic properties of this model
have been determined within the variational approach, which treats the on-site
interaction term exactly and the intersite interactions within the mean-field
approximation. We have also obtained rigorous results for a linear chain (d=1)
in the ground state. Moreover, at T=0 some results derived within the random
phase approximation (and the spin-wave approximation) for d=2 and d=3 lattices
and within the low density expansions for d=3 lattices are presented. Our
investigation of the general case (as a function of the electron concentration
and as a function of the chemical potential) shows that, depending on the
values of interaction parameters, the system can exhibit not only the
homogeneous phases: superconducting (SS) and nonordered (NO), but also the
phase separated states (PS: SS-NO). The system considered exhibits interesting
multicritical behaviour including tricritical points.Comment: 15 pages, 9 figures; pdf-ReVTeX, final version, corrected typos;
submitted to Journal of Physics: Condensed Matte
Negativity and quantum discord in Davies environments
We investigate the time evolution of negativity and quantum discord for a
pair of non-interacting qubits with one being weakly coupled to a decohering
Davies--type Markovian environment. At initial time of preparation, the qubits
are prepared in one of the maximally entangled pure Bell states. In the
limiting case of pure decoherence (i.e. pure dephasing), both, the quantum
discord and negativity decay to zero in the long time limit. In presence of a
manifest dissipative dynamics, the entanglement negativity undergoes a sudden
death at finite time while the quantum discord relaxes continuously to zero
with increasing time. We find that in dephasing environments the decay of the
negativity is more propitious with increasing time; in contrast, the evolving
decay of the quantum discord proceeds weaker for dissipative environments.
Particularly, the slowest decay of the quantum discord emerges when the energy
relaxation time matches the dephasing time.Comment: submitted for publicatio
Isotope effect in impure high T_c superconductors
The influence of various kinds of impurities on the isotope shift exponent
\alpha of high temperature superconductors has been studied. In these materials
the dopant impurities, like Sr in La_{2-x}Sr_xCuO_4, play different role and
usually occupy different sites than impurities like Zn, Fe, Ni {\it etc}
intentionally introduced into the system to study its superconducting
properties.
In the paper the in-plane and out-of-plane impurities present in layered
superconductors have been considered. They differently affect the
superconducting transition temperature T_c. The relative change of isotope
shift coefficient, however, is an universal function of T_c/T_{c0} (T_{c0}
reffers to impurity free system) {\it i.e.} for angle independent scattering
rate and density of states function it does not depend whether the change of
T_c is due to in- or out-of-plane impurities. The role of the anisotropic
impurity scattering in changing oxygen isotope coefficient of superconductors
with various symmetries of the order parameter is elucidated. The comparison of
the calculated and experimental dependence of \alpha/\alpha_0, where \alpha_0
is the clean system isotope shift coefficient, on T_c/T_{c0} is presented for a
number of cases studied.
The changes of \alpha calculated within stripe model of superconductivity in
copper oxides resonably well describe the data on
La_{1.8}Sr_{0.2}Cu_{1-x}(Fe,Ni)_xO_4, without any fitting parameters.Comment: 8 pages, 6 figures, Phys. Rev. B67 (2003) accepte
Eliashberg-type equations for correlated superconductors
The derivation of the Eliashberg -- type equations for a superconductor with
strong correlations and electron--phonon interaction has been presented. The
proper account of short range Coulomb interactions results in a strongly
anisotropic equations. Possible symmetries of the order parameter include s, p
and d wave. We found the carrier concentration dependence of the coupling
constants corresponding to these symmetries. At low hole doping the d-wave
component is the largest one.Comment: RevTeX, 18 pages, 5 ps figures added at the end of source file, to be
published in Phys.Rev. B, contact: [email protected]
Upper critical field for underdoped high-T_c superconductors. Pseudogap and stripe--phase
We investigate the upper critical field in a stripe--phase and in the
presence of a phenomenological pseudogap. Our results indicate that the
formation of stripes affects the Landau orbits and results in an enhancement of
. On the other hand, phenomenologically introduced pseudogap leads to a
reduction of the upper critical field. This effect is of particular importance
when the magnitude of the gap is of the order of the superconducting transition
temperature. We have found that a suppression of the upper critical field takes
place also for the gap that originates from the charge--density waves.Comment: 7 pages, 5 figure
Vortex structure in d-density wave scenario of pseudogap
We investigate the vortex structure assuming the d-density wave scenario of
the pseudogap. We discuss the profiles of the order parameters in the vicinity
of the vortex, effective vortex charge and the local density of states. We find
a pronounced modification of these quantities when compared to a purely
superconducting case. Results have been obtained for a clean system as well as
in the presence of a nonmagnetic impurity. We show that the competition between
superconductivity and the density wave may explain some experimental data
recently obtained for high-temperature superconductors. In particular, we show
that the d-density wave scenario explains the asymmetry of the gap observed in
the vicinity of the vortex core.Comment: 8 pages, 10 figure
Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons
We investigate the interaction of strongly correlated electrons with phonons
in the frame of the Hubbard-Holstein model. The electron-phonon interaction is
considered to be strong and is an important parameter of the model besides the
Coulomb repulsion of electrons and band filling. This interaction with the
nondispersive optical phonons has been transformed to the problem of mobile
polarons by using the canonical transformation of Lang and Firsov. We discuss
in particular the case for which the on-site Coulomb repulsion is exactly
cancelled by the phonon-mediated attractive interaction and suggest that
polarons exchanging phonon clouds can lead to polaron pairing and
superconductivity. It is then the frequency of the collective mode of phonon
clouds being larger than the bare frequency, which determines the
superconducting transition temperature.Comment: 23 pages, Submitted to Phys. Rev.
Electron transport across a quantum wire in the presence of electron leakage to a substrate
We investigate electron transport through a mono-atomic wire which is tunnel
coupled to two electrodes and also to the underlying substrate. The setup is
modeled by a tight-binding Hamiltonian and can be realized with a scanning
tunnel microscope (STM). The transmission of the wire is obtained from the
corresponding Green's function. If the wire is scanned by the contacting STM
tip, the conductance as a function of the tip position exhibits oscillations
which may change significantly upon increasing the number of wire atoms. Our
numerical studies reveal that the conductance depends strongly on whether or
not the substrate electrons are localized. As a further ubiquitous feature, we
observe the formation of charge oscillations.Comment: 7 pages, 7 figure
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