Quantum floquet oscillation in borophane
- PDF / 572,973 Bytes
- 12 Pages / 439.37 x 666.142 pts Page_size
- 38 Downloads / 194 Views
Quantum floquet oscillation in borophane Upendra Kumara Department of Theoretical Physics, Vilnius University, Vilnius 10222, Lithuania Received: 21 May 2020 / Accepted: 27 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The hydrogenated borophene is known as borophane, a two-dimensional material which has Dirac characteristics. In this work, it is described how anisotropy of borophane, i.e. wave vector angle, plays a significant role in the Floquet frequency and collapse–revival phenomenon. The various mathematical techniques have been described for the formulation of Floquet frequency. The role of anisotropy is justified by using numerical simulation. The bandgap of borophane can be opened by using Floquet frequency. The Rabi oscillation and Bloch–Siegert shift have also been studied in the perspective of anisotropy.
1 Introduction Two-dimensional (2D) materials starting from graphene to topological insulators have Dirac fermionic nature, i.e. electrons have nature like relativistic particles in their low-energy excitations [1,2]. Borophene is a 2D boron-based nanostructure, which experimentally has been synthesized on a silver crystal by physical vapour deposition [3,4] and also proposed in theory [5,6]. In phononic dispersion of borophene, there is the presence of imaginary frequencies, so it becomes dynamically unstable and require a substrate to be stabilized [7]. There is a prediction that hydrogenated borophene (borophane) possesses Dirac characteristics and has Fermi velocity nearly twice of graphene [8]. Borophane consists of dynamically stable structure, and its Dirac cone (between the and X points) has anisotropic nature [8]. There is the absence of hexagonal honeycomb structure in borophene and borophane due to electron deficiency, distinguishing these materials from other 2D materials of group XIV elements (C, Si, Ge, Sn) of the periodic table [9]. The Dirac cone in borophane has all orbitals ( px , p y and pz ) contribution [7], not like group XIV elements where only pz orbital contributes [10]. Alloys [11] and nanocomposites [12] have also important physics and are studied recently due to their potential use in electronic and optoelectronic applications as a 2D materials [13]. The increase in the resonant frequency at the bias field increase is observed since the internal anisotropy field increases [14,15]. There is composition modulation of 2D transition-metal dichalcogenides in the perspective of synthesis of Van der Waals alloys and lateral heterostructures, which consists of tunable optoelectronic properties [16]. For real
Electronic supplementary material The online version of this article (https://doi.org/10.1140/epjp/ s13360-020-00720-1) contains supplementary material, which is available to authorized users. a e-mail: [email protected] (corresponding author)
0123456789().: V,-vol
123
729
Page 2 of 12
Eur. Phys. J. Plus
(2020) 135:729
alloys samples, the stoichiometry is particularly important [17,18]. Ther
Data Loading...
