Aharonov-Bohm effect in the presence of magnetic flux and electrostatic potential

Takai, Daisuke; Ohta, Kuniichi

doi:10.1103/physrevb.48.1537

Cited by 44 publications

(25 citation statements)

References 5 publications

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“…The 'band formation' in such geometries has been analyzed and some magnetic properties of loop structures in the presence of an AB flux have been discussed. Takai and Ohta [24] have also addressed similar problems where both the magnetic flux and an electrostatic potential are present. These works have relied on the solution of the continuous version of the Schrödinger equation for the ring systems as well as other geometries [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

“…Takai and Ohta [24] have also addressed similar problems where both the magnetic flux and an electrostatic potential are present. These works have relied on the solution of the continuous version of the Schrödinger equation for the ring systems as well as other geometries [22,23,24]. Transmission through a serial arrangement of rings can equivalently be handled within a tight-binding formalism, in the spirit of the single-ring studies of Ref.…”

Section: Introductionmentioning

confidence: 99%

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Magnetotransport in periodic and quasiperiodic arrays of mesoscopic rings

2003

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We study theoretically the transmission properties of serially connected mesoscopic rings threaded by a magnetic flux. Within a tight-binding formalism we derive exact analytical results for the transmission through periodic and quasiperiodic Fibonacci arrays of rings of two different sizes. The role played by the number of scatterers in each arm of the ring is analyzed in some detail. The behavior of the transmission coefficient at a particular value of the energy of the incident electron is studied as a function of the magnetic flux (and vice versa) for both the periodic and quasiperiodic arrays of rings having different number of atoms in the arms. We find interesting resonance properties at specific values of the flux, as well as a power-law decay in the transmission coefficient as the number of rings increases, when the magnetic field is switched off. For the quasiperiodic Fibonacci sequence we discuss various features of the transmission characteristics as functions of energy and flux, including one special case where, at a special value of the energy and in the absence of any magnetic field, the transmittivity changes periodically as a function of the system size.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetotransport in periodic and quasiperiodic arrays of mesoscopic rings

2003

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“…By the following unitary transformations, we will be able to control the interchannel scattering rates conveniently. We first start with the single-channel S-matrix [2,3,5,6],…”

Section: Theorymentioning

confidence: 99%

“…Most previous theoretical studies on the AB effects in the ballistic limit [2,3,4] have dealt with the strictly one-dimensional, or equivalently, single-channel case. However, in real mesoscopic quantum wires, their finite width unavoidably creates many propagating channels inside, and hence it should be more realistic to model the system as having multichannels.…”

Section: Introductionmentioning

confidence: 99%

Strong dependence of multichannel ballistic transport on the geometric symmetry

Shin

Park

Lee

et al. 1998

Superlattices and Microstructures

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“…In recent years, many works have been devoted to the study of quantum waveguide theory [1][2][3][4][5][6][7][8][9][10][11], because the electronic transport property in quantum wires with various structures is not only a basic theoretical topic but also could benefit the design of useful electronic devices. Xia [2] has studied the Aharonov-Bohm (A-B) effect in an open ring by calculating the transmission and reflection amplitudes as functions of the magnetic flux, the arm length, and the wave vector.…”

Section: Introductionmentioning

confidence: 99%