Hardy–Orlicz Spaces and Their Multiplication Operators

Lu, Qi; Cao, Guang Fu; Liu, Li Fang

doi:10.1007/s10114-004-0516-y

Cited by 3 publications

(6 citation statements)

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“…This result is similar to the energy of a bound state induced by a static magnetic impurity [12]. Note that increasing g, i.e., stronger scattering, leads to a decrease of Ω b .…”

Section: Starting Point For Our Calculations Is the Hamiltoniansupporting

confidence: 73%

“…As a frame of reference, we first consider a localized mode in an s-wave superconductor with normal state dispersion ǫ k = k 2 /2m − µ, m −1 /∆ 0 = 15, Fermi momentum k F = π/2, and a momentum independent SC gap ∆ 0 . For a spin-independent coupling,ĝ = g1, no bound states are induced, similar to the case of a non-magnetic impurity in an s-wave superconductor [12]. In contrast, if the coupling is spin-dependent the mode induces a bound state, with poles in theŜ-matrix leading to two peaks in the DOS.…”

Section: Starting Point For Our Calculations Is the Hamiltonianmentioning

confidence: 91%

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Localized bosonic modes in superconductors

Morr

Nyberg

2003

Phys. Rev. B

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We show that a localized bosonic mode acts as a new type of "defect" in s-and d x 2 −y 2 -wave superconductors. The mode induces bound or resonance states, whose spectral signature are peaks in the superconductor's density of states (DOS). We study the peaks' shape and energy as a function of temperature and the mode's frequency and lifetime. We identify several characteristic signatures of the localized mode that qualitatively distinguishes its effects from those of magnetic or nonmagnetic impurities.PACS numbers: 72.10. 72.10.Fk, 74.25.Jb The study of local defects or impurities in superconductors has attracted significant experimental [1, 2] and theoretical [3,4,5] interest over the last few years. These studies have proven particularly important for further elucidating the nature of the superconducting (SC) pairing mechanism in unconventional superconductors. In particular, recent scanning tunnelling microscopy (STM) experiments provided a detailed picture of the frequency and spatial dependence of defect induced resonance states in the high-temperature superconductor (HTSC) Bi 2 Sr 2 CaCu 2 O 8+δ [2], and the triplet superconductor Sr 2 RuO 4 [6]. Several theoretical scenarios for the physical origin of these impurity states have been proposed, ranging from electronic scattering off classical impurities [3,5] to the onset of .

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“…This result is similar to the energy of a bound state induced by a static magnetic impurity [12]. Note that increasing g, i.e., stronger scattering, leads to a decrease of Ω b .…”

Section: Starting Point For Our Calculations Is the Hamiltoniansupporting

confidence: 73%

Section: Starting Point For Our Calculations Is the Hamiltonianmentioning

confidence: 91%

Localized bosonic modes in superconductors

Morr

Nyberg

2003

Phys. Rev. B

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“…Specifically, for D ≪ 1 one finds, to leading order in D, I J ∼ D 1/2 for α = 0, but I J ∼ D 3/2 for α = 0. Finally, note that for φ = 0 and any α, the induced Andreev states with E a,b /∆ 0 = k F √ D are identical to the impurity (Shiba) states [14] induced by a single (static) magnetic impurity in a 1D triplet superconductor.…”

mentioning

confidence: 89%

Novel Josephson Effect in Triplet-Superconductor–Ferromagnet–Triplet-Superconductor Junctions

et al. 2006

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We predict a novel type of Josephson effect to occur in triplet-superconductor-ferromagnet-triplet-superconductor Josephson junctions. We show that the Josephson current, IJ, exhibits a rich dependence on the relative orientation between the ferromagnetic moment and the d vectors of the superconductors. This dependence can be used to build several types of Josephson current switches. Moreover, we predict an unconventional sign change of IJ with increasing temperature.

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“…In this Letter we therefore consider two impurities embedded in a general s-wave superconductor (SC). The presence of two magnetic impurities allows for a coupling of the bound states associated with a single impurity [10], and gives rise to the emergence of novel many-body states. We show that the nature of these novel states, i.e., their quantum numbers, can be altered by varying the distance between the two impurities, ∆r, or the relative angle between the directions of their spin moments, α.…”

mentioning

confidence: 99%

“…Starting point for our calculations is theT -matrix formalism [10] which we generalized to treat the case of N impurities of spin S with non-magnetic and magnetic scattering potentials [5,11]. In the following, we focus on the case N = 2, and, following Ref.…”

mentioning

confidence: 99%

Quantum interference between impurities: Creating novel many-body states ins-wave superconductors

Morr¹,

Stavropoulos

2003

Phys. Rev. B

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We demonstrate that quantum interference of electronic waves that are scattered by multiple magnetic impurities in an s-wave superconductor gives rise to novel bound states. We predict that by varying the inter-impurity distance or the relative angle between the impurity spins, the states' quantum numbers, as well as their distinct frequency and spatial dependencies, can be altered. Finally, we show that the superconductor can be driven through multiple local crossovers in which its spin polarization, sz , changes between sz = 0, 1/2 and 1.

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Hardy–Orlicz Spaces and Their Multiplication Operators

Cited by 3 publications

References 0 publications

Localized bosonic modes in superconductors

Localized bosonic modes in superconductors

Novel Josephson Effect in Triplet-Superconductor–Ferromagnet–Triplet-Superconductor Junctions

Quantum interference between impurities: Creating novel many-body states ins-wave superconductors

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