Interstate interference of electron wave packet tunneling through a quantum ring

Okunishi, Takuma; Ohtsuka, Y.; Muraguchi, Masahiro; Takeda, Kyozaburo

doi:10.1103/physrevb.75.245314

Cited by 24 publications

(24 citation statements)

References 15 publications

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“…Thus, the topographic factor should influence the carrier density distribution, though its origin is not understood yet. In previous theoretical studies dealing with ideal QRs [10] or InAs/GaAs QRs [5,40,41], it was found that either ring-shaped adiabatic potential [5] or carrier probability density [10,40,41] was achieved by considering the QRs' geometrical parameters, as well as strain [5], composition gradient [40], or piezoelectric potential [5,41], etc. Though, for a realistic QR, the distribution of carrier density would be much complex as many factors should be taken into consideration, the main feature of the ring-shaped potential and carrier density could be expected.…”

Section: Resultsmentioning

confidence: 99%

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Cui

Yang

2012

Nanoscale Res Lett

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The nanoscale electrical properties of individual self-assembled GeSi quantum rings (QRs) were studied by scanning probe microscopy-based techniques. The surface potential distributions of individual GeSi QRs are obtained by scanning Kelvin microscopy (SKM). Ring-shaped work function distributions are observed, presenting that the QRs' rim has a larger work function than the QRs' central hole. By combining the SKM results with those obtained by conductive atomic force microscopy and scanning capacitance microscopy, the correlations between the surface potential, conductance, and carrier density distributions are revealed, and a possible interpretation for the QRs' conductance distributions is suggested.

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Section: Resultsmentioning

confidence: 99%

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Cui

Yang

2012

Nanoscale Res Lett

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“…From the theoretical point of view, the superconductivity of Pr247 was clarified by using the CuO double chain model. [14][15][16][17] Sano et al, propose an electronic phase diagram including the superconducting phase in the weak coupling limit on the basis of the Tomonaga-Luttinger liquid. The doping dependence of superconductivity obtained in ref.…”

Section: Introductionmentioning

confidence: 99%

Effect of Magnetic Field on the Superconducting Phase in the Electron-Doped Metallic Double-Chain Compound Pr₂Ba₄Cu₇O_15-δ

et al. 2013

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We report the magnetotransport and dc magnetic susceptibility of the polycrystalline samples of Pr2Ba4Cu7O 15−δ , to examine the effect of magnetic field on the superconducting phase of the metallic CuO double chain. The resistive critical magnetic field is estimated to be about 21 T at low temperatures from the resistive transition data. On the other hand, the corresponding critical field determined from the magnetization measurements gives rise to a very low value of ∼ 0.3 T at 2 K. These discrepancies in the magnetic response between the resistivity and magnetization data are caused by disappearance of the magnetically shielding effect even in relatively lower fields. In spite of the observation of the resistive drop associated with the superconducting transport currents, the suppression of the diamagnetic signal is probably related to the superconductivity of quasi one-dimensional CuO double-chain. The behavior of Seebeck coefficient in the superconducting Pr2Ba4Cu7O 15−δ is discussed on the basis of the double chain model from the density functional band calculation. PACS numbers: 74.25.Ha,74.90.+n

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“…To clarify these characteristic features, we employ projection analysis 7,11 in which the calculated TD wave function is projected into the QCR resonant orbitals ͓ i QCR ͑r͔͒ or the QR and QC local orbitals ͓ i QC ͑r͒ and i QR ͑r͔͒. In Fig.…”

Section: B Symmetrical Injectionmentioning

confidence: 99%

“…The QR is a typical system that produces this simultaneous RT because the QR has quasidegenerate states. In previous work, 7 we demonstrated that the interstate interference in a QR induces dynamical fluctuation in the electron density because the QR hybridizes the eigenstates having different quantum angular numbers. Particularly, under a static magnetic field, we found that the interstate interference changes the rotational direction of the electron density by varying the strength of the applied static magnetic field only, without changing its applied direction.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, we have reported another type of interference for an electron confined in a quantum structure. 7 When an electron propagates through a quantum system, resonant tunneling ͑RT͒ is generated. An interesting feature is expected when an electron tunnels via several resonant states simultaneously because the multistate tunneling generates interstate interference caused by the different eigenfrequencies.…”

Section: Introductionmentioning

confidence: 99%

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Electron resonant tunneling through a circle-ring multicomponent quantum system

et al. 2010

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We theoretically study resonant tunneling for an electron injected into a multicomponent quantum ͑QCR͒ system composed of a quantum circle ͑QC͒ and quantum ring ͑QR͒. We first solve the time-independent Schrödinger equation numerically to determine the eigenstates of an electron confined in the QCR with an externally applied electrostatic ͑gate͒ potential. Several QC and QR local states hybridize mutually to produce the QCR eigenstates, resulting in crossing and/or avoided crossing of the eigenstates. Interestingly, local orbital hybridization is generated commensurately or incommensurately due to the coaxial geometry in the QCR system. The commensurate state produces a rational bonding-antibonding interaction whereas the incommensurate state causes a discrepancy in the position of the nodal planes of the QC and QR local orbitals. We then solve the time-dependent Schrödinger equation for the electron resonant tunneling through this QCR system computationally and study the dynamical properties based on projection analysis. When the electron is injected asymmetrically into the QCR system, quasidegeneracy in the eigenstates induces interstate interference and causes a characteristic "coming-and-going" variation in the electron density . When the electron is injected into the avoided-crossing states produced by the incommensurate local-orbital mixing, the interstate interference induces a "rotational" motion in in spite of the fact that the electrostatic gate potential is uniformly applied to the system.

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Interstate interference of electron wave packet tunneling through a quantum ring

Cited by 24 publications

References 15 publications

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Effect of Magnetic Field on the Superconducting Phase in the Electron-Doped Metallic Double-Chain Compound Pr₂Ba₄Cu₇O_15-δ

Electron resonant tunneling through a circle-ring multicomponent quantum system

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Interstate interference of electron wave packet tunneling through a quantum ring

Cited by 24 publications

References 15 publications

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Nanoscale electrical property studies of individual GeSi quantum rings by conductive scanning probe microscopy

Effect of Magnetic Field on the Superconducting Phase in the Electron-Doped Metallic Double-Chain Compound Pr2Ba4Cu7O15-δ

Electron resonant tunneling through a circle-ring multicomponent quantum system

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Product

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Effect of Magnetic Field on the Superconducting Phase in the Electron-Doped Metallic Double-Chain Compound Pr₂Ba₄Cu₇O_15-δ