Density functional theory for triplet superconductors

Capelle, K.; Gross, E. K. U.

doi:10.1002/(sici)1097-461x(1997)61:2<325::aid-qua15>3.0.co;2-a

Cited by 10 publications

(9 citation statements)

References 27 publications

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“…In exactly the same way the matrices ͑9͒-͑11͒ appear in the generalization of the Bogolubov-de Gennes equations to triplet superconductors, as demonstrated explicitly in Ref. 41. The corresponding pair potentials are odd functions of the spatial coordinates.…”

Section: ͑11͒mentioning

confidence: 58%

“…In particular, the Balian-Werthamer parametrization for the order parameter of triplet superconductors is simply a linear combination of the matrices ͉Tϩ͘, ͉TϪ͘, and ͉T0͘. 40,41 The fact that the singlet OP is composed of time-reversed single-particle states is the basis for the theory of impurities in BCS superconductors. 42,43 Furthermore, the above defined states ͑2͒-͑5͒ were taken as a starting point for investigations of the order-parameter symmetry in unconventional superconductors, e.g., in Refs.…”

Section: ͑11͒mentioning

confidence: 99%

“…The four-current density and the order parameters are thus also treated in a parallel way. This is particularly appealing from the point of view of the density-functional theory of superconductivity, 21,41,[44][45][46][47][48][49] where the Bogolubov-de Gennes equations become the Kohn-Sham equations for superconductors and the order parameters enter the formalism as ''anomalous densities,'' in addition to the normal density n(r) and, if necessary, the current density j. We call Eq.…”

Section: ͑18͒mentioning

confidence: 99%

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Relativistic framework for microscopic theories of superconductivity. I. The Dirac equation for superconductors

Capelle

Gross

1999

Phys. Rev. B

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We present a unified treatment of relativistic effects in superconductors. The relativistically correct ͑Dirac-type͒ single-particle Hamiltonian describing the quasiparticle spectrum of superconductors is deduced from symmetry considerations and the requirement of the correct nonrelativistic limit. We provide a complete list of all order parameters consistent with the requirement of Lorentz covariance. This list contains the relativistic generalizations of the BCS and the triplet order parameters, among others. Furthermore, we present a symmetry classification of the order parameters according to their behavior under the Lorentz group, generalizing previous treatments that were based on the Galilei group. The considerations in this paper are based only on the concepts of pairing and Lorentz covariance. They can therefore be applied to all situations in which pairing takes place. This includes BCS-type superconductors, as well as the heavy-fermion compounds, hightemperature superconductors, pairing of neutrons and protons in neutron stars, and superfluid helium 3.

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Section: ͑11͒mentioning

confidence: 58%

Section: ͑11͒mentioning

confidence: 99%

Section: ͑18͒mentioning

confidence: 99%

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Relativistic framework for microscopic theories of superconductivity. I. The Dirac equation for superconductors

Capelle

Gross

1999

Phys. Rev. B

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“…There exists a generalization of the BdGE in which these can be included properly, the spin-Bogolubov-de Gennes equations ͑SBdGE͒. They read 14,16,26,27 …”

Section: The Spin-bogolubov-de Gennes Equationsmentioning

confidence: 99%

“…They can be obtained from a spin-dependent Bogolubov-Valatin transformation. 14,16,26,27 Alternatively, they are found as the nonrelativistic limit of the relativistic Bogolubov-de Gennes equations. [9][10][11] They relate to the conventional BdGE in exactly the same way as the Pauli equation relates to the Schrödinger equation.…”

Section: The Spin-bogolubov-de Gennes Equationsmentioning

confidence: 99%

Analysis of dichroism in the electromagnetic response of superconductors

1998

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The absorption of polarized light in superconductors is studied within the framework of the Bogolubov-de Gennes approach to inhomogeneous superconductors in magnetic fields. Several mechanisms which give rise to a polarization-dependent absorption ͑i.e., dichroism͒ in superconductors are analyzed in detail. The relation to the absorption of unpolarized light in superconductors and to the absorption of polarized light in normal conductors is investigated and several effects, not known from either of these cases, are found. These effects arise from the interplay of broken chiral symmetry, which produces dichroism, with the superconducting coherence. One potential source for dichroism, namely spin-orbit coupling, is investigated numerically for a simple model superconductor. ͓S0163-1829͑98͒01122-9͔

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Linear-response time-dependent density-functional theory with pairing fields

Peng

Aggelen

Yang

et al. 2014

The Journal of Chemical Physics

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Recent development in particle-particle random phase approximation (pp-RPA) broadens the perspective on ground state correlation energies (van Aggelen et al. Phys. Rev. A, 88, 030501 (2013)) and N ± 2 excitation energies (Yang, et al. J.Chem. Phys.). So far Hartree-Fock and approximated density-functional orbitals have been utilized to evaluate the pp-RPA equation. In this paper, to further explore the fundamentals and the potential use of pairing matrix dependent functionals, we present the linear-response time-dependent density-functional theory with pairing elds with both adiabatic and frequency-dependent kernels. This theory is related to the density-functional theory and time-dependent density-functional theory for superconductors, but is applied to normal non-superconducting systems for our purpose. Due to the lack of the proof of the one-to-one mapping between the pairing matrix and the pairing eld for time-dependent systems, the linear-response theory is established based on the representability assumption of the pairing matrix. The linear response theory justi es the use of approximated density-functionals in the pp-RPA equation. This work sets the fundamentals for future density-functional development to enhance the description of ground state correlation energies and N ± 2 excitation energies.

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Density functional theory for triplet superconductors

Cited by 10 publications

References 27 publications

Relativistic framework for microscopic theories of superconductivity. I. The Dirac equation for superconductors

Relativistic framework for microscopic theories of superconductivity. I. The Dirac equation for superconductors

Analysis of dichroism in the electromagnetic response of superconductors

Linear-response time-dependent density-functional theory with pairing fields

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