English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The local density of states (LDOS) in a one-dimensional helical channel offinite length is studied within a Tomonaga-Luttinger model at zero temperature.Two particular cases of loop and Josephson junction geometries are considered.The LDOS, as a function of energy $\omega$ measured from the Fermi level,consists of equally spaced spikes of the $\delta$-function type, andelectron-electron interactions modify their relative height. It is shown that,in the loop geometry, the height of spikes decreases as $\omega \to 0$everywhere in the system. It is also shown that, in the Josephson junction, thebehavior of the LDOS significantly depends on the spatial position. At the endpoints of the junction, the height increases as $\omega \to 0$ and itsvariation is more pronounced than that in the loop case. Away from the endpoints, the height of spikes shows a non-monotonic $\omega$-dependence, whichdisappears in the long-junction limit.

Local Density of States in a Helical Tomonaga-Luttinger Liquid of Loop and Josephson Junction Geometries