Adiabatic electron transport through serially connected quantum annuli

Zhu, Jian‐Xin; Wang, Z.D.

doi:10.1016/0038-1098(95)00269-3

Cited by 1 publication

(1 citation statement)

References 23 publications

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“…is the supercell length in the GC SL or the circumference of the GR and ÿq is the quasimomentum in the GC SL. There have been a few investigations of chains of coupled quantum rings where the properties from ring to ring are modulated by a Fibonacci sequence [34,35]. We are unaware of any previous work in which the potential itself in circumnavigating a quantum ring is quasiperiodic.…”

Section: Introductionmentioning

confidence: 99%

The Aharonov–Bohm effect in quadratic Gauss quantum rings

Citrin

2024

Phys. Scr.

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We outline a theory for the Aharonov-Bohm effect in a novel type of quantum ring, namely the quadratic Gauss quantum ring, here for brevity called the Gauss ring. A Gauss ring is a one-dimensional nonperiodic lattice with sites at $z=z_{j}=j^nd$ with $j\in\{ 0,1,2,\cdots , s+1\}$ ($s\in\mathbb{W}$), $n\geq 2$ ($n\in\mathbb{N}$), and $d$ the underlying period wrapped into a ring-shaped geometry. Here we discuss the electronic spectrum of quadratic Gauss rings ($n=2$, $s\in \{0,1,2,\cdots,5,6,7\}$), and show that the spectrum can be described using theoretical tools recently devised to provide an understanding of the Gauss chain [D. S. Citrin, ``Continuum approach to the quadratic chain: Exact closed-form classification of delocalized states,'' Phys. Rev. B {\bf 107}, 235144 (2023)]. We then consider the effect on the electronic states of a magnetic flux $\Phi$ threading the Gauss ring and show that the effect of the flux is to select specific electronic states from a periodic chain whose supercells are finite-length Gauss chains thus relating the states in the Gauss quantum ring with those in a periodic Gauss chain.

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Section: Introductionmentioning

confidence: 99%

The Aharonov–Bohm effect in quadratic Gauss quantum rings

Citrin

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

Adiabatic electron transport through serially connected quantum annuli

Cited by 1 publication

References 23 publications

The Aharonov–Bohm effect in quadratic Gauss quantum rings

The Aharonov–Bohm effect in quadratic Gauss quantum rings

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