{"title":"Fermi velocity and effective mass of quasiparticles in bilayer phosphorene nanoribbons","authors":"Morad Ali Peyvand, Bahman Ravaee, M. Zare","doi":"10.1139/cjp-2022-0037","DOIUrl":null,"url":null,"abstract":"Based on the Green’s function approach in combination with the tight-binding approximation, we have investigated the electronic properties of zigzag bilayer phosphorene nanoribbons (ZBLPNRs). A complete and fully reversible metal to semiconductor or insulator phase transition, has been observed via tuning a perpendicular electric field. We explain the effect of the interlayer hopping parameter on the electronic characterizations, namely, the energy band-gap, Fermi velocity and effective mass of carriers in biased ZBLPNRs. In the presence of the interlayer hopping term, the band structure of a ZBLPNR in the vicinity of the Fermi level has a form of two tilted Dirac cones, while, in the absence of it, the created cones are not tilted. Besides, the bands above and below the Fermi level are not symmetric,{\\it i.e.}, there is no electron-hole symmetry for both limits of the interlayer coupling. A remarkable tuning of both the Fermi velocity and the reciprocal effective mass can be observed by adjusting the external bias voltage. At certain critical bias voltages, the band edge reciprocal masses and carrier velocities become zero, {\\it i.e.}, the electrons exhibit a localization behaviour. This phenomenon indeed is a transition from massive to massless Dirac fermions and vice versa. The possibility of simultaneous control of the thermal and magnetic properties using an electric agent, which can be realized experimentally by using an perpendicular potential difference, open up possibilities for low power consumed thermomagnetic devices based on ZBLPNRs.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1139/cjp-2022-0037","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Based on the Green’s function approach in combination with the tight-binding approximation, we have investigated the electronic properties of zigzag bilayer phosphorene nanoribbons (ZBLPNRs). A complete and fully reversible metal to semiconductor or insulator phase transition, has been observed via tuning a perpendicular electric field. We explain the effect of the interlayer hopping parameter on the electronic characterizations, namely, the energy band-gap, Fermi velocity and effective mass of carriers in biased ZBLPNRs. In the presence of the interlayer hopping term, the band structure of a ZBLPNR in the vicinity of the Fermi level has a form of two tilted Dirac cones, while, in the absence of it, the created cones are not tilted. Besides, the bands above and below the Fermi level are not symmetric,{\it i.e.}, there is no electron-hole symmetry for both limits of the interlayer coupling. A remarkable tuning of both the Fermi velocity and the reciprocal effective mass can be observed by adjusting the external bias voltage. At certain critical bias voltages, the band edge reciprocal masses and carrier velocities become zero, {\it i.e.}, the electrons exhibit a localization behaviour. This phenomenon indeed is a transition from massive to massless Dirac fermions and vice versa. The possibility of simultaneous control of the thermal and magnetic properties using an electric agent, which can be realized experimentally by using an perpendicular potential difference, open up possibilities for low power consumed thermomagnetic devices based on ZBLPNRs.
期刊介绍:
The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.