296 research outputs found
Models of the Pseudogap State of Two-Dimensional Systems
We analyze a number of ``nearly exactly'' solvable models of electronic
spectrum of two-dimensional systems with well-developed fluctuations of short
range order of ``dielectric'' (e.g. antiferromagnetic) or ``superconducting''
type, which lead to the formation of anisotropic pseudogap state on certain
parts of the Fermi surface. We formulate a recurrence procedure to calculate
one-electron Green's function which takes into account all Feynman diagrams in
perturbation series and is based upon the approximate Ansatz for higher-order
terms in this series. Detailed results for spectral densities and density of
states are presented. We also discuss some important points concerning the
justification of our Ansatz for higher-order contributions.Comment: 22 pages, 15 figures, RevTeX 3.0, Postscript figures attache
Superconductivity in an Exactly Solvable Model of the Pseudogap State: Absence of Self Averaging
We analyze the anomalies of superconducting state within a simple exactly
solvable model of the pseudogap state, induced by fluctuations of
``dielectric'' short range order, for the model of the Fermi surface with
``hot'' patches. The analysis is performed for the arbitrary values of the
correlation length xi_{corr} of this short range order. It is shown that
superconducting energy gap averaged over these fluctuations is non zero in a
wide temperature range above T_c - the temperature of homogeneous
superconducting transition. This follows from the absence of self averaging of
the gap over the random field of fluctuations. For temperatures T>T_c
superconductivity apparently appears in separate regions of space (``drops'').
These effects become weaker for shorter correlation lengths xi_{corr} and the
region of ``drops'' on the phase diagram becomes narrower and disappears for
xi_{corr}-->0, however, for the finite values of xi_{corr} the complete self
averaging is absent.Comment: 20 pages, 6 figures, RevTeX 3.0, submitted to JETP, minor misprints
correcte
Superconductivity in the Pseudogap State due to Fluctuations of Short-Range Order
We analyze the anomalies of superconducting state (s and d-wave pairing) in a
simple model of pseudogap state, induced by fluctuations of short - range order
(e.g. antiferromagnetic), based on the model Fermi surface with "hot patches".
We derive a system of recursion relations for Gorkov's equations which take
into account all diagrams of perturbation theory for electron interaction with
fluctuations of short-range order. Then we find superconducting transition
temperature and gap behavior for different values of the pseudogap width and
correlation lengths of short-range order fluctuations. In a similar
approximation we derive the Ginzburg-Landau expansion and study the main
physical characteristics of a superconductor close to the transition
temperature, both as functions of the pseudogap width and correlation length of
fluctuations. Results obtained are in qualitative agreement with a number of
experiments on underdoped HTSC-cuprates.Comment: 18 pages, 12 figures, RevTeX 3.0, minor misprints corrected, to
appear in JET
Ginzburg-Landau Expansion in a Toy Model of Superconductor with Pseudogap
We propose a toy model of electronic spectrum of two-dimensional system with
``hot-patches'' on the Fermi surface, which leads to essential renormalization
of spectral density (pseudogap). Within this model we derive Ginzburg-Landau
expansion for both s-wave and d-wave Cooper pairing and analyze the influence
of pseudogap formation on the basic properties of superconductors.Comment: 14 pages, 14 figures, RevTeX 3.0, Postscript figures attached, some
changes in the explanation of the model, published in JETP 115, No.2, (1999
Supeconductivity in the Pseudogap State in "Hot - Spots" Model: Ginzburg - Landau Expansion
We analyze properties of superconducting state (for both s-wave and d-wave
pairing), appearing on the "background" of the pseudogap state, induced by
fluctuations of "dielectric" (AFM(SDW) or CDW) short -- range order in the
model of the Fermi surface with "hot spots". We present microscopic derivation
of Ginzburg - Landau expansion, taking into account all Feynman diagrams of
perturbation theory over electron interaction with this short - range order
fluctuations, leading to strong electronic scattering in the vicinity of "hot
spots". We determine the dependence of superconducting critical temperature on
the effective width of the pseudogap and on correlation length of short - range
order fluctuations. We also find similar dependences of the main
characteristics of such superconductor close to transition temperature. It is
shown particularly, that specific heat discontinuity at the transition
temperature is significantly decreased in the pseudogap region of the phase
diagram.Comment: 35 pages, 12 figures, RevTeX 3.0, minor additions to text and
improved figure
Pseudogap in 1d revisited
Two decades ago, Sadovskii found an exact solution of a model describing a
pseudogap in electron energy spectrum (first introduced by Lee, Rice and
Anderson). The discovery of a pseudogap in high-Tc superconductors has revived
the interest to his exact solution. I review the model with the emphasis on
physical content, point out an error in the original Sadovskii's solution and
explain which problem he actually solved. A recent incorporation of Sadovskii's
ideas into a description of "hot spots" on the Fermi surface in cuprate
superconductors (Schmalian, Pines and Stojkovic) is briefly discussed.Comment: Final version to appear in PR
Superconductivity in a Toy Model of the Pseudogap State
We analyze superconducting state (both s and d - wave) in a simple exactly
solvable model of pseudogap state, induced by short - range order fluctuations
(e.g. antiferromagnetic), which is based upon model Fermi - surface with "hot
patches". It is shown that superconducting energy gap averaged over these
fluctuations is non zero even for the temperatures larger than mean - field T_c
of superconducting transition in a sample as a whole. For temperatures T>T_c
superconductivity apparently exists within separate regions ("drops"). We study
the spectral density and the density of states and demonstrate that
superconductivity signals itself in these already for T>T_c, while at T_c
itself nothing special happens from this point of view. These anomalies are in
qualitative agreement with a number experiments on underdoped cuprates.Comment: 12 pages, 6 figures, RevTeX 3.0, Postscript figures attache
Ginzburg-Landau Expansion and the Slope of the Upper Critical Field in Disordered Superconductors with Anisotropic Pairing
It is demonstrated that the slope of the upper critical field
in superconductors with -wave pairing drops rather
fast with concentration of normal impurities, while in superconductors with
anisotropic -wave pairing grows, and in the limit of
strong disorder is described by the known dependences of the theory of
``dirty'' superconductors. This allows to use the measurements of in
disordered superconductors to discriminate between these different types of
pairing in high-temperature and heavy-fermion superconductors.Comment: 7 pages, 5 figures, RevTeX 3.0, 4 Postscript figures attached;
Submitted to JETP Letter
Weak Pseudogap Behavior in the Underdoped Cuprate Superconductors
We report on an exact solution of the nearly antiferromagnetic Fermi liquid
spin fermion model in the limit \pi T << \omega_{sf}, which demonstrates that
the broad high energy features found in ARPES measurements of the spectral
density of the underdoped cuprate superconductors are determined by strong
antiferromagnetic (AF) correlations and precursor effects of an SDW state. We
show that the onset temperature, T^{cr}, of weak pseudo-gap (pseudoscaling)
behavior is determined by the strength, \xi, of the AF correlations, and obtain
the generic changes in low frequency magnetic behavior seen in NMR experiments
with \xi(T^{cr}) \approx 2, confirming the Barzykin and Pines crossover
criterion.Comment: REVTEX, 4 pages, 3 EPS figure
Mott-Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach
Density of states, dynamic (optical) conductivity and phase diagram of
strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model
are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma
approximation). Strong correlations are accounted by DMFT, while disorder is
taken into account via the appropriate generalization of self-consistent theory
of localization. The DMFT effective single impurity problem is solved by
numerical renormalization group (NRG) and we consider the three-dimensional
system with semi-elliptic density of states. Correlated metal, Mott insulator
and correlated Anderson insulator phases are identified via the evolution of
density of states and dynamic conductivity, demonstrating both Mott-Hubbard and
Anderson metal-insulator transition and allowing the construction of complete
zero-temperature phase diagram of Anderson-Hubbard model. Rather unusual is the
possibility of disorder induced Mott insulator to metal transition.Comment: 15 pages, 16 figure
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