Theoretical study of electrical conduction in finite metals and insulators

Mesoscopic rings with an incommensurate charge density wave (CDW) ground state are investigated theoretically. It is found that the magnetic flux has a pronounced effect on the amplitude of the CDW order parameter. Self-consistent calculations predict a periodic modulation of the order parameter as a function of the flux. In sufficiently small rings the magnetic field can even destroy the CDW ground state. The flux-induced phase transition affects the persistent current and should be observable in the magnetic response.

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“…The dynamics of a commensurate condensate and time-dependent effects in similar structures are treated in ref. [13] and [14], respectively.…”

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confidence: 99%

Persistent currents in a Peierls insulator

1996

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“…For an ideal 1D mesoscopic ring, the electronic structure depends sensitively on the number of particles with modulo four [36], while the modulo four behavior has also been found in aromatic molecules [37], conjugated monocyclic polyenes [38] and finite linear atom chains [39]. To explore the particle dependence, the energy spectra of C 3× p @(9, 0) × p TCNWs is presented (see figure 3), with p = 4l, 4l + 1, 4l + 2 and 4l + 3 (l an integer) at l = 21.…”

Section: Calculations and Discussionmentioning

confidence: 96%

Persistent currents in a carbon nanotube torus encapsulated with a carbon ring

Tang

2011

J. Phys.: Condens. Matter

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A toroidal carbon nanowire (TCNW) model is proposed for an ideal one-dimensional mesoscopic ring, consisting of a toroidal carbon nanotube (TCN) and an encapsulated carbon ring, of which the electronic structure and thus the persistent current (I(pc)) are investigated within the tight-binding formalism. The tube-ring interactions lead to a charge transfer from the inner ring to the outer TCN, and thus the Fermi level rises and the band overlaps in a certain flux range. In zigzag TCNWs with a metallic TCN, the actual magnetic response, the amplitude and the period of I(pc) in the primary carbon ring are concealed by those in the resultant TCNW; in zigzag TCNWs with a semiconducting TCN, I(pc) exhibits the same behavior as that in their primary carbon rings. The results show that I(pc) in the sample ring depends strongly on the surrounding environment and thus a semiconducting or insulating matrix may provide a desired environment for measuring persistent current in mesoscopic rings.

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“…Here m and n label sites in the x and y directions in Fig. 1, t = h2 /(2m * d 2 ), α = eBd 2 /h (the magnetic phase factor e inα is associated with hopping in the x direction since we use the Landau gauge A = (−By, 0, 0) [8]), B points in the z direction, d is the lattice parameter, −e is the electron charge, m * is the electron effective mass. We ignore the small Zeeman splitting between spin up and down.…”

Section: The Modelmentioning

confidence: 99%

Resonance patterns of an antidot cluster: From classical to quantum ballistics

et al. 1997

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We explain the experimentally observed Aharonov-Bohm ͑AB͒ resonance patterns of an antidot cluster by means of quantum and classical simulations and Feynman path integral theory. We demonstrate that the observed behavior of the AB period signals the crossover from a low B regime which can be understood in terms of electrons following classical orbits to an inherently quantum high B regime where this classical picture and semiclassical theories based on it do not apply. ͓S0163-1829͑97͒05036-4͔

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Theoretical study of electrical conduction in finite metals and insulators

Cited by 6 publications

References 10 publications

Persistent currents in a Peierls insulator

Persistent currents in a Peierls insulator

Persistent currents in a carbon nanotube torus encapsulated with a carbon ring

Resonance patterns of an antidot cluster: From classical to quantum ballistics

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