{"title":"Valley-dependent damping of Zitterbewegung in 2D structures based on Dirac crystals","authors":"E.I. Kukhar , S.V. Kryuchkov","doi":"10.1016/j.physe.2024.116164","DOIUrl":null,"url":null,"abstract":"<div><div>The theory of increasing of the zitterbewegung duration by controlling of the mutual positions between the electron wave packet center and the valley in the band structure of the Dirac crystal is suggested. The Gaussian type of the electron wave packets is considered. The time of the zitterbewegung damping is shown to be increased by several orders as compared with that of massless Dirac electron if the wave packet is centered at the energy minimum or maximum of the dispersion law. To this end the different kinds of modifications of Dirac crystals such as semi-Dirac crystals, graphene with merging Dirac points and graphene superlattices are suggested to be used. In details the valley-dependent zitterbewegung in ac-driven Dirac crystals is studied. An increase in the duration of the zitterbewegung with the change of the ac-field power is explicitly demonstrated.</div></div>","PeriodicalId":20181,"journal":{"name":"Physica E-low-dimensional Systems & Nanostructures","volume":"167 ","pages":"Article 116164"},"PeriodicalIF":2.9000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica E-low-dimensional Systems & Nanostructures","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1386947724002686","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"NANOSCIENCE & NANOTECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
The theory of increasing of the zitterbewegung duration by controlling of the mutual positions between the electron wave packet center and the valley in the band structure of the Dirac crystal is suggested. The Gaussian type of the electron wave packets is considered. The time of the zitterbewegung damping is shown to be increased by several orders as compared with that of massless Dirac electron if the wave packet is centered at the energy minimum or maximum of the dispersion law. To this end the different kinds of modifications of Dirac crystals such as semi-Dirac crystals, graphene with merging Dirac points and graphene superlattices are suggested to be used. In details the valley-dependent zitterbewegung in ac-driven Dirac crystals is studied. An increase in the duration of the zitterbewegung with the change of the ac-field power is explicitly demonstrated.
期刊介绍:
Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals.
Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena.
Keywords:
• topological insulators/superconductors, majorana fermions, Wyel semimetals;
• quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems;
• layered superconductivity, low dimensional systems with superconducting proximity effect;
• 2D materials such as transition metal dichalcogenides;
• oxide heterostructures including ZnO, SrTiO3 etc;
• carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.)
• quantum wells and superlattices;
• quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect;
• optical- and phonons-related phenomena;
• magnetic-semiconductor structures;
• charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling;
• ultra-fast nonlinear optical phenomena;
• novel devices and applications (such as high performance sensor, solar cell, etc);
• novel growth and fabrication techniques for nanostructures