Persistent current in continuous one-dimensional quantum ring: Hartree-Fock and quantum Monte Carlo study.

ORAL

Abstract

We study numerically the effects of the electron-electron interaction on the persistent current of a one-dimensional quantum ring containing a single $\delta$-barrier. Using the self-consistent Hartree-Fock approximation for spinless electrons, we calculate the zero-temperature persistent current as a function of the ring circumference, magnetic flux threading the ring, barrier strength, electron-electron interaction strength, etc. Next, we explore the many-body quantum Monte Carlo method to obtain fully correlated solutions for the steady state wave functions and to evaluate the transport properties for the same problem.

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Authors

  • P. Vagner

    • Department of Physics, North Carolina State University, Raleigh, NC 27695

  • R. N\'{e}meth

  • M. Mo\v{s}ko

    • Institute of Electrical Engineering, Slovak Academy of Sciences, D\'{u}bravsk\'{a} cesta 9, 841 04 Bratislava, Slovakia

  • L. Mitas

    • Center for High Performance Simulation and Department of Physics, North Carolina State University
    • North Carolina State University
    • Department of Physics, North Carolina State University, Raleigh, NC 27695