Period halving of Persistent Currents in Mesoscopic Mobius ladders

TL;DR

This paper studies how the periodicity of persistent currents in mesoscopic Möbius ladders changes, revealing effects dependent on electron parity and interchain hopping, with implications for understanding quantum coherence in such systems.

Contribution

It introduces a detailed analysis of period halving in persistent currents in mesoscopic Möbius ladders, highlighting the roles of electron parity and interchain hopping mechanisms.

Findings

Period halving depends on electron parity and interchain hopping.

Odd harmonics of persistent currents disappear in ensemble averages.

Even harmonic signals are non-negative in the observed systems.

Abstract

We investigate the period halving of persistent currents(PCs) of non-interacting electrons in isolated mesoscopic M\"{o}bius ladders without disorder, pierced by Aharonov-Bhom flux. The mechanisms of the period halving effect depend on the parity of the number of electrons as well as on the interchain hopping. Although the data of PCs in mesoscopic systems are sample-specific, some simple rules are found in the canonical ensemble average, such as all the odd harmonics of the PCs disappear, and the signals of even harmonics are non-negative. {PACS number(s): 73.23.Ra, 73.23.-b, 68.65.-k}