Geometry-driven shift in the Tomonaga-Luttinger exponent of deformed cylinders

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Geometry-driven shift in the Tomonaga-Luttinger exponent of deformed cylinders

Hiroyuki Shima, Hideo Yoshioka, and Jun Onoe

Phys. Rev. B 79, 201401(R) – Published 15 May 2009

Abstract

We demonstrate the effects of geometric perturbation on the Tomonaga-Luttinger liquid (TLL) states in a long, thin, and hollow cylinder whose radius varies periodically. The variation in the surface curvature inherent to the system gives rise to a significant increase in the power-law exponent of the single- particle density of states. The increase in the TLL exponent is caused by a curvature-induced potential that attracts low-energy electrons to region that has large curvature.

Received 10 March 2009

DOI:https://doi.org/10.1103/PhysRevB.79.201401

Authors & Affiliations

Hiroyuki Shima^1,*, Hideo Yoshioka², and Jun Onoe³

¹Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
²Department of Physics, Nara Women’s University, Nara 630-8506, Japan
³Department of Nuclear Engineering and Research Laboratory for Nuclear Reactors, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8550, Japan

^*Corresponding author; shima@eng.hokudai.ac.jp

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Issue

Vol. 79, Iss. 20 — 15 May 2009

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Physical Review B

covering condensed matter and materials physics