Concepts in High Temperature Superconductivity

Carlson, E. W.; Kivelson, Steven; Orgad, Dror; Emery, V. J.

doi:10.1007/978-3-642-18914-2_6

Cited by 56 publications

(74 citation statements)

References 499 publications

(708 reference statements)

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“…(16). 12 For some pertinent details we refer the reader to an extensive analysis of the large-r asymptotic behaviour of ̺σ(r) pertaining to uniform and isotropic GSs in appendix J of [78]. From this analysis and the bounded result in Eq.…”

Section: Equations Determining the Fermi Surfaces Of Uniform Metallicmentioning

confidence: 99%

“…(12), (16) and (17)), leads through Eqs. (45) and (50) to deviation of a calculated Fermi surface from its exact counterpart S f;σ .…”

Section: The Case Whenmentioning

confidence: 99%

“…Foremost amongst these are investigations regarding the determination of the mechanism of superconductivity in the copper-oxide-based high-temperature superconducting materials (hereafter referred to as cuprates or cuprate compounds); for recent reviews see [11][12][13]. Both the earlier angle-resolved photoemission results [14] (see in particular Fig.…”

mentioning

confidence: 99%

“…Note in passing that Chester's [36] findings do not apply to a pairing, or reduced, Hamiltonian such as the one employed in the conventional BCS theory. 4 The superconducting order parameter in the cuprate compounds is generally considered to have the d x 2 −y 2 symmetry [11][12][13]. Note in passing that in practice the inter-planar coupling of the electronic degrees of freedom is capable of stabilizing a d-wave superconducting state at finite temperatures, such as obtained within the framework of the so-called 'cluster dynamical mean-field' approximation [40,41] (see also [42,43]).…”

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confidence: 99%

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On the (anisotropic) uniform metallic ground states of fermions interacting through arbitrary two-body potentials inddimensions

Farid¹

2004

Philosophical Magazine

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We demonstrate that the skeleton of the Fermi surface Sf;σ pertaining to a uniform metallic ground state (corresponding to fermions with spin index σ) is determined by the Hartree-Fock contribution Σ hf σ (k) to the dynamic self-energy Σσ(k; ε). That is to say, in order for k ∈ Sf;σ, it is necessary (but for anisotropic ground states in general not sufficient) that the following equation be satisfied:where ε k stands for the underlying non-interacting energy dispersion and εf for the exact interacting Fermi energy. The Fermi surface Sf;σ consists of the set of k points which in addition to satisfying the above equation fulfilwhereThe set of k points which satisfy the first of the above two equations but fail to satisfy the second constitute the pseudogap region of the putative Fermi surface of the interacting system. We consider the behaviour of the ground-state momentum-distribution function nσ(k) for k in the vicinity of Sf;σ and show that, whereas for the uniform metallic ground states of the conventional single-band Hubbard Hamiltonian, described in terms of an on-site interaction, nσ(k − f;σ ) ≥ 1 2 and nσ(k + f;σ ) ≤ 1 2 (here k − f;σ and k + f;σ denote vectors infinitesimally close to Sf;σ, located respectively inside and outside the underlying Fermi sea), for interactions of non-zero range these inequalities can be violated (without thereby contravening the stability condition nσ(k − f;σ ) ≥ nσ(k + f;σ )). This aspect is borne out by the nσ(k) pertaining to the normal states of for instance liquid 3 He (corresponding to a range of applied pressure) as determined by means of quantum Monte Carlo calculations. We further demonstrate that for Fermi-liquid metallic states of fermions interacting through interaction potentials of non-zero range (e.g. the Coulomb potential), the zero-temperature limit of nσ(k) does not need to be equal to 1 2 for k ∈ Sf;σ; this in strict contrast with the uniform Fermi-liquid metallic states of the single-band Hubbard Hamiltonian (if such states at all exist). This aspect should be taken into account while analyzing the nσ(k) deduced from the angle-resolved photoemission data concerning real materials. We discuss, in the light of the findings of the present work, the growing experimental evidence with regard to the 'frustration' of the kinetic energy of the charge carriers in the normal states of the copper-oxide-based high-temperature superconducting compounds.

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Section: Equations Determining the Fermi Surfaces Of Uniform Metallicmentioning

confidence: 99%

“…(12), (16) and (17)), leads through Eqs. (45) and (50) to deviation of a calculated Fermi surface from its exact counterpart S f;σ .…”

Section: The Case Whenmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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On the (anisotropic) uniform metallic ground states of fermions interacting through arbitrary two-body potentials inddimensions

Farid¹

2004

Philosophical Magazine

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“…Especially important is the fact that the critical temperature of cuprates strongly depends on doping and the crystal structure. Moreover, the significance of correlations between electrons is stressed by many authors [7,8]. All of this entails the so called non-Fermi liquid behavior of the normal phase and the fact that some undoped high-temperature superconductors are Mott insulators with antiferromagnetically ordered ground state.…”

Section: Introductionmentioning

confidence: 99%

On Some Factors Affecting the Critical Temperature in a Two-Band Model of Superconductivity

Tarasewicz

2013

J Supercond Nov Magn

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The influence of a few factors on the critical temperature in a two-band superconducting system is investigated. The system contains conventional Cooper pairs from a wider band (the d-band) as well as local pairs (local bipolarons) from a narrower band (the f-band), which are induced via a pair-exchange potential. These factors are the Coulomb repulsion between f-electrons, the position of the f-band with respect to the bottom of the d-band and two kinds of hopping in the f-band: a single-polaron hopping and a pair hopping. The Coulomb potential turns out to lower the critical temperature from higher values to the pure BCS one. Each of the kinds of hopping is treated by making use of perturbation theory. Pair hopping is incorporated as the first order correction but the hopping of single polarons enters as the second order one. Each of them increases this temperature on its own, however, the hopping of single polarons makes it stronger. The position of the f-band that corresponds to the site energy of a f-electron poses a very interesting case. There appear two peaks at two values of that energy meaning a rapid increase of the critical temperature due to the strong effect of the presence of local electron pairs. In this case one has to do with a purely chemical mechanism of the increase of the critical temperature.

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Magnetic Superconductors

Buzdin¹,

Flouquet²

2007

Handbook of Magnetism and Advanced Magnetic Materials

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We review the main mechanisms of the interplay between magnetism and superconductivity, and discuss first the properties of the conventional s‐wave antiferromagnetic and ferromagnetic superconductors. In the case of ferromagnetism, its antagonism with superconductivity leads to spectacular effects such as a reentrant superconductivity and the domain magnetic structure formation. It is now accepted that in heavy‐fermion compounds (HFCs) the superconductivity is unconventional. Here we analyze the ( P , T ) phase diagram with special focus on the stability of the different phases at T → 0 K. In the recently discovered ferromagnetic heavy‐fermion superconductors, the Cooper pairing appears to be a triplet. The studies of the properties of these compounds will certainly open a new chapter in the physics of superconductivity. We also discuss the particularities of the proximity effect in superconductor–ferromagnet heterostructures: the damped oscillatory behavior of the Cooper pair wave function and the conditions for the novel π‐Josephson junctions formation, which open an interesting perspective for the potential applications of these structures.

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Concepts in High Temperature Superconductivity

Cited by 56 publications

References 499 publications

On the (anisotropic) uniform metallic ground states of fermions interacting through arbitrary two-body potentials inddimensions

On the (anisotropic) uniform metallic ground states of fermions interacting through arbitrary two-body potentials inddimensions

On Some Factors Affecting the Critical Temperature in a Two-Band Model of Superconductivity

Magnetic Superconductors

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