Energy averaging and the flux-periodic phenomena in small normal-metal rings

Imry, Y.; Shiren, N. S.

doi:10.1103/physrevb.33.7992

Cited by 43 publications

(28 citation statements)

References 36 publications

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“…The typical calculation [8] assumes that the levels are "broadened" due to the interaction with the environment. In the major case of interest the level broadening Γ is assumed to be larger than the mean level spacing ∆ but much smaller than any semiclassical energy scale.…”

Section: Multi Mode Diffusive Ringsmentioning

confidence: 99%

“…In spite of much interest in closed mesoscopic rings a straightforward answer to this simple question has not been given. We shall review later the main published statements [6,7,8,9,10,11] In this paper we are interested in circumstances such that the leading result for the conductance is of classical nature. This is completely analogous to the discussion of diffusive rings in circumstances such that the leading result is given by the Drude In this illustration the conductor is a rectangular waveguide to which a cavity is attached.…”

Section: Introductionmentioning

confidence: 99%

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The multi-mode conductance formula for a closed ring

Cohen¹,

Etzioni²

2005

J. Phys. A: Math. Gen.

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Abstract. The multimode conductance of a closed ring is found within the framework of a scattering approach. The expression can be regarded as a generalization of the Landauer formula. The treatment is essentially classical because we assume short coherence time. Our starting point is the Kubo formalism, but we also use a master equation approach for the derivation. As an example we calculate the conductance of a multimode waveguide with an attached cavity.

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Section: Multi Mode Diffusive Ringsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The multi-mode conductance formula for a closed ring

Cohen¹,

Etzioni²

2005

J. Phys. A: Math. Gen.

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“…Imry and Shiren [39] thoroughly discussed condition of persistent current observation regarding the effect of elastic and inelastic scattering to Aharonov-Bohm effect in solids. Their conclusion was that two-dimensional flat disk (quantum dot) whose lateral dimension is larger than the perimeter of electron orbit in perpendicular magnetic field, and the mean free path of electron exceeds the dot diameter, de Haas-van Alphen oscillation will show up superimposed on Aharonov-Bohm persistent current oscillation, at very strong magnetic field such the electron Fermi energy F ε is larger than the Landau levels spacing / .…”

Section: Persistent Currents In Normal Metals Superconductors and DImentioning

confidence: 99%

Persistent currents, flux quantization, and magnetomotive forces in normal metals and superconductors (Review Article)

Kulik

2010

Low Temperature Physics

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The notion of persistent current comes back to orbital currents in normal metals, semiconductors and even insulators displaying diamagnetic behavior in weak magnetic fields, but came to focus at the discovery of current persistence and magnetic flux quantization at large fields in atomically big but macroscopically small (mesoscopic) objects. The phenomenon bears much similarity with supercurrents in superconductive metals. We will review progress in developing of our understanding of the physical and technological aspects of this phenomenon. The exact solution for currents, magnetic moments and magnetomotive forces (torques) in crossed magnetic fields are presented. Time-dependent phenomena in crossed magnetic and electric fields, and in possibility of spontaneous persistent currents and of work extraction from static and dynamic quantum states are discussed.

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“…Linear response theory (LRT) is the traditional theoretical tool for dealing with the response of driven systems [1,2,3,4]. It offers an expression (the Kubo formula) for the generalized susceptibility, and hence for the generalized conductance matrix.…”

mentioning

confidence: 99%

“…Later we discuss further physical implications of our results. Assuming zero temperature Fermi occupation up to energy E F , standard textbook procedure [1,2,3,4] leads to…”

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confidence: 99%

Quantum pumping and dissipation: From closed to open systems

Cohen

2003

Phys. Rev. B

108

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Current can be pumped through a closed system by changing parameters (or fields) in time. The Kubo formula allows to distinguish between dissipative and non-dissipative contributions to the current. We obtain a Green function expression and an S matrix formula for the associated terms in the generalized conductance matrix: the "geometric magnetism" term that corresponds to adiabatic transport; and the "Fermi golden rule" term which is responsible to the irreversible absorption of energy. We explain the subtle limit of an infinite system, and demonstrate the consistency with the formulas by Landauer and Büttiker, Prétre and Thomas. We also discuss the generalization of the fluctuation-dissipation relation, and the implications of the Onsager reciprocity.

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Energy averaging and the flux-periodic phenomena in small normal-metal rings

Cited by 43 publications

References 36 publications

The multi-mode conductance formula for a closed ring

The multi-mode conductance formula for a closed ring

Persistent currents, flux quantization, and magnetomotive forces in normal metals and superconductors (Review Article)

Quantum pumping and dissipation: From closed to open systems

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