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        Fano-Andreev Transport and Circulating Currents in Mesoscopic Interferometers

        Yao Heng Su,Sam Young Cho 한국물리학회 2012 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.61 No.3

        Quantum correlation and interference effects are investigated in mesoscopic interferometers connected to a normal metal and a superconductor. For quasiparticle excitation energies smaller than superconducting gap, a Fano-Andreev antiresonance for zero excitation energy is shown to be split into two zero-transmissions located at energies lower and higher than the Fano-Andreev antiresonance energy. For an excitation energy bigger than the gap, the higher energy antiresonance disappears for electron-like quasiparticle transport. In the presence of a superconductor interface potential <i>Z</i>, we find that the transport and the circulating currents normalized by their amplitudes for a clean interface have the same <i>I</i>(<i>Z</i>)-<i>Z</i> curve. We discuss a transition among the three types of normalized currents, which shows a characteristic transition diagram in association with the excitation energy. Also, as a demonstration of the existence of Andreev holes, we show that only the Andreev hole current can circulate along the interferometer loop.

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        Is the Fano Antiresonance a Necessary Requirement for Circulating Currents in Mesoscopic Interferometers?

        Yao Heng Su,Sam Young Cho,Ai Min Chen,Taeseung Choi 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.57 No.1

        Coherent quantum tunneling effects on quantum interference are investigated in electron transport through a mesoscopic interferometer. An evanescent wave tunneling through a potential barrier in one arm can interfere with a propagating wave passing through the other arm of the interferometer. It is shown that, even for the same arm lengths, such a quantum interference can induce a circulating current, where Fano antiresonances do not occur in electron transmission. It is found that there exists a critical value of asymmetric arm lengths that gives rise to a Fano antiresonance in electron transmission for quantum interference between evanescent and propagating waves. We discuss the effects of Fano antiresonances originating from asymmetric arm lengths on circulating currents.

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        Relation between Quantum Entanglement and the Berry Phase in Systems of Two Interacting Qubits

        Ai Min Chen,Yao Heng Su,Sam Young Cho 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.57 No.4

        Quantum entanglement and the Berry phase are investigated in systems of two interacting qubits. The interaction between the qubits is considered as an XXZ-type exchange interaction, which can make the qubits entangled. A slowly rotating external field is also applied for the Berry phases of the system within the adiabatic theorem. Analytic expressions for the eigenvalues and eigen-wavefunctions of the system are obtained in terms of the interaction parameters and external fields. The competition between the interaction and the external field is shown to be determine a characteristic behavior of the Berry phases and concurrences. The relation between the Berry phase and entanglement for the eigenstates of the system is found to be unique as the interaction strengths vary. The way in which anisotropy of the interaction reveals the unique relations between the Berry phases and the entanglements is discussed.

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