TY - JOUR

T1 - Exact-enumeration approach to tunneling in disordered systems

AU - Wang, Xiang Rong

AU - Shapir, Yonathan

AU - Medina, Ernesto

AU - Kardar, Mehran

PY - 1990

Y1 - 1990

N2 - The model of Nguyen, Spivak, and Shklovskii (NSS) for coherent tunneling of strongly localized electrons, by impurities with negative local scattering amplitudes, is studied by exact enumeration of all impurity configurations. We consider the overlap between electronic wave functions on sites that are t lattice spacings apart and examine the dependence of their statistical properties on the hopping length and the concentration p of impurities. We obtain series up to t=5 for general p, and t=9 in the symmetric case of p=1/2. In this interval, the extent of scattering perpendicular to the hopping direction is found to spread as x2 t2, with =0.62 0.05. The probability that the final amplitude maintains its original sign decays as exp[-a(p)t] for p 0.1, casting doubt on the sign-phase transition suggested by NSS.

AB - The model of Nguyen, Spivak, and Shklovskii (NSS) for coherent tunneling of strongly localized electrons, by impurities with negative local scattering amplitudes, is studied by exact enumeration of all impurity configurations. We consider the overlap between electronic wave functions on sites that are t lattice spacings apart and examine the dependence of their statistical properties on the hopping length and the concentration p of impurities. We obtain series up to t=5 for general p, and t=9 in the symmetric case of p=1/2. In this interval, the extent of scattering perpendicular to the hopping direction is found to spread as x2 t2, with =0.62 0.05. The probability that the final amplitude maintains its original sign decays as exp[-a(p)t] for p 0.1, casting doubt on the sign-phase transition suggested by NSS.

UR - http://www.scopus.com/inward/record.url?scp=0009322754&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.42.4559

DO - 10.1103/PhysRevB.42.4559

M3 - Artículo

AN - SCOPUS:0009322754

SN - 0163-1829

VL - 42

SP - 4559

EP - 4562

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 7

ER -