TY - JOUR
T1 - Coulomb interactions and delocalization in quantum Hall constrictions
AU - Pryadko, Leonid P.
AU - Shimshoni, Efrat
AU - Auerbach, Assa
PY - 2000/1/1
Y1 - 2000/1/1
N2 - We study a geometry-dependent effect of long-range Coulomb interactions on quantum Hall (QH) tunneling junctions. In an X-shaped geometry, duality relates junctions with opening angles (Formula presented) and (Formula presented) We prove that duality between weak tunneling and weak backscattering survives in the presence of long-range interactions, and that their effects are precisely cancelled in the self-dual geometry (Formula presented) Tunneling exponents as a function of (Formula presented) the interaction strength (Formula presented) and the filling fraction (Formula presented) are calculated. We find that Coulomb interaction induces localization in narrow channels (large (Formula presented) and delocalization for sharply pinched constrictions (small (Formula presented) Consequently, an insulator-to-metal transition happens at an angle (Formula presented) We discuss the implications of our results for tunneling experiments in QH-constriction and cleaved-edge geometries.
AB - We study a geometry-dependent effect of long-range Coulomb interactions on quantum Hall (QH) tunneling junctions. In an X-shaped geometry, duality relates junctions with opening angles (Formula presented) and (Formula presented) We prove that duality between weak tunneling and weak backscattering survives in the presence of long-range interactions, and that their effects are precisely cancelled in the self-dual geometry (Formula presented) Tunneling exponents as a function of (Formula presented) the interaction strength (Formula presented) and the filling fraction (Formula presented) are calculated. We find that Coulomb interaction induces localization in narrow channels (large (Formula presented) and delocalization for sharply pinched constrictions (small (Formula presented) Consequently, an insulator-to-metal transition happens at an angle (Formula presented) We discuss the implications of our results for tunneling experiments in QH-constriction and cleaved-edge geometries.
UR - http://www.scopus.com/inward/record.url?scp=16344387698&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.61.10929
DO - 10.1103/PhysRevB.61.10929
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AN - SCOPUS:16344387698
SN - 1098-0121
VL - 61
SP - 10929
EP - 10940
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 16
ER -