Exchange-correlation effects in magnetic-field-induced superconductivity

Capelle, K.

doi:10.1103/physrevb.65.100515

Cited by 7 publications

(5 citation statements)

References 28 publications

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“…This is known as the ChandrasekharClogston (CC) or Pauli paramagnetic limit of superfluidity [8,9]. In several works the CC limit is assumed to imply pair dissociation and is referred to as "Pauli pair breaking" [10,11,12], i.e. T * and T c are assumed to vanish simultaneously.…”

mentioning

confidence: 99%

Pairing Without Superfluidity: The Ground State of an Imbalanced Fermi Mixture

Schunck

Shin

Schirotzek

et al. 2007

Science

180

226

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Radio-frequency spectroscopy is used to study pairing in the normal and superfluid phases of a strongly interacting Fermi gas with imbalanced spin populations. At high spin imbalances the system does not become superfluid even at zero temperature. In this normal phase full pairing of the minority atoms is observed. This demonstrates that mismatched Fermi surfaces do not prevent pairing but can quench the superfluid state, thus realizing a system of fermion pairs that do not condense even at the lowest temperature.

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mentioning

confidence: 99%

Pairing Without Superfluidity: The Ground State of an Imbalanced Fermi Mixture

Schunck

Shin

Schirotzek

et al. 2007

Science

180

226

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“…Some other applications of the idea of the quantum protectorate were discussed in Refs. [190][191][192][193][194]…”

Section: Quantum Protectoratementioning

confidence: 99%

Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

Kuzemsky

2010

Int. J. Mod. Phys. B

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In the present interdisciplinary review we focus on the applications of the symmetry principles to quantum and statistical physics in connection with some other branches of science. The profound and innovative idea of quasiaverages formulated by N. N. Bogoliubov, gives the so-called macro-objectivation of the degeneracy in domain of quantum statistical mechanics, quantum field theory and in the quantum physics in general. We discuss the complementary unifying ideas of modern physics, namely: spontaneous symmetry breaking, quantum protectorate and emergence. The interrelation of the concepts of symmetry breaking, quasiaverages and quantum protectorate was analyzed in the context of quantum theory and statistical physics. The chief purposes of this paper were to demonstrate the connection and interrelation of these conceptual advances of the many-body physics and to try to show explicitly that those concepts, though different in details, have a certain common features. Several problems in the field of statistical physics of complex materials and systems (e.g. the chirality of molecules) and the foundations of the microscopic theory of magnetism and superconductivity were discussed in relation to these ideas.

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“…This dependence is a complicating factor both in the construction of approximate functionals and in their implementation. In spite of these complications, different ways of constructing CDFT functionals and solving the CDFT KS equations have been explored for atoms, molecules and solids [4,5,6,7,8,9,10,11]. As an alternative to solving the full CDFT equations, usable when current-dependent effects are expected to be small, it has been proposed to cast the CDFT KS equations in the form of SDFT KS equations plus a remainder depending on the xc vector potential A xc (r), which is then treated perturbatively [12].…”

Section: Electronic Currentsmentioning

confidence: 99%

Spin‐density functional theory: Some open problems and application to inhomogeneous Heisenberg models

Capelle

Líbero

2005

Int J of Quantum Chemistry

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Spin-density-functional theory (SDFT) is the most widely implemented and applied formulation of density-functional theory. However, it is still finding novel applications, and occasionally encounters unexpected problems. In this paper we first briefly describe a few of the latter, related to issues such as nonuniqueness, noncollinearity, and currents. In the main part we then turn to an example of the former, namely SDFT for the Heisenberg model. It is shown that time-honored concepts of Coulomb DFT, such as the local-density approximation, can be applied to this (and other) model Hamiltonians, too, once the concept of 'density' has been suitably reinterpreted. Local-density-type approximations for the inhomogeneous Heisenberg model are constructed. Numerical applications to finite-size and impurity systems demonstrate that DFT is a computationally efficient and reasonably accurate alternative to conventional methods of statistical mechanics for the Heisenberg model.

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Exchange-correlation effects in magnetic-field-induced superconductivity

Cited by 7 publications

References 28 publications

Pairing Without Superfluidity: The Ground State of an Imbalanced Fermi Mixture

Pairing Without Superfluidity: The Ground State of an Imbalanced Fermi Mixture

Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

Spin‐density functional theory: Some open problems and application to inhomogeneous Heisenberg models

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