Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field

T. Hikihara, A. Furusaki, and K. A. Matveev
Phys. Rev. B 72, 035301 – Published 1 July 2005

Abstract

We study the renormalization of a single impurity potential in one-dimensional interacting electron systems in the presence of magnetic field. Using the bosonization technique and Bethe ansatz solutions, we determine the renormalization group flow diagram for the amplitudes of scattering of up- and down-spin electrons by the impurity in a quantum wire at low electron density and in the Hubbard model at less than half filling. In the absence of magnetic field the repulsive interactions are known to enhance backscattering and make the impurity potential impenetrable in the low-energy limit. On the contrary, we show that in a strong magnetic field the interaction may suppress the backscattering of majority-spin electrons by the impurity potential in the vicinity of the weak-potential fixed point. This implies that in a certain temperature range the impurity becomes almost transparent for the majority-spin electrons while it is impenetrable for the minority-spin ones. The impurity potential can thus have a strong spin-filtering effect.

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  • Received 15 December 2004

DOI:https://doi.org/10.1103/PhysRevB.72.035301

©2005 American Physical Society

Authors & Affiliations

T. Hikihara1,2, A. Furusaki2, and K. A. Matveev3,*

  • 1Division of Physics, Graduate School of Science, Hokkaido University, Sapporo, 060-0810, Japan
  • 2Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
  • 3Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA

  • *On leave from Duke University, Durham, NC 27708-0305.

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Vol. 72, Iss. 3 — 15 July 2005

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