Geometry-Driven Shift in the Tomonaga-Luttinger Exponent of Deformed Cylinders

Hiroyuki Shima; Hideo Yoshioka; Jun Onoe

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arXiv · 0903.0798

Geometry-Driven Shift in the Tomonaga-Luttinger Exponent of Deformed Cylinders

Hiroyuki Shima·Hideo Yoshioka·Jun Onoe

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Abstract

We demonstrate the effects of geometric perturbation on the Tomonaga-Luttinger liquid (TLL) states in a long, thin, 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.

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Hiroyuki Shima, Hideo Yoshioka, Jun Onoe. 2009-03-04. Geometry-Driven Shift in the Tomonaga-Luttinger Exponent of Deformed Cylinders. https://arxiv.org/abs/0903.0798

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