This article is cited in 4 papers

CONDENSED MATTER

Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires

V. V. Enaldiev^a, V. A. Volkov<sup>ba

a</sup> Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia
^b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, Russia

Abstract: One intriguing fingerprint of surface states in topological insulators is the Aharonov-Bohm effect in magnetoconductivity of nanowires. We show that surface states in nanowires of Dirac materials (bismuth, bismuth antimony, and lead tin chalcogenides) being in non-topological phase, exhibit the same effect as amendment to magnetoconductivity of the bulk states. We consider a simple model of a cylindrical nanowire, which is described by the 3D Dirac equation with a general $T$-invariant boundary condition. The boundary condition is determined by a single phenomenological parameter whose sign defines topological-like and non-topological surface states. The non-topological surface states emerge outside the gap. In a longitudinal magnetic field $B$, they lead to Aharonov–Bohm amendment for the density of states and correspondingly for the conductivity of the nanowire. The phase of these magnetic oscillations increases with $B$ from $\pi$ to $2\pi$.

Received: 05.10.2016
Revised: 20.10.2016

DOI: 10.7868/S0370274X16230089

 English version: Journal of Experimental and Theoretical Physics Letters, 2016, 104:11, 784–790

Bibliographic databases:

• 
• 
•