Particle transport in graphene nanoribbon driven by ultrashort pulses

Babajanov, D.; Matrasulov, D. U.; Egger, Reinhold

doi:10.1140/epjb/e2014-50610-6

Cited by 6 publications

(5 citation statements)

References 39 publications

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“…Usually, confined relativistic quantum systems appear in particle physic models such as MIT bag model [15] and the quark potential models [16]. However, recent progress made in fabrication of graphene and studying its unusual properties made possible experimental realization of Dirac particle confined in one- [17,18] and two-dimensional boxes [19][20][21]. Such condensed matter realization of a Dirac particle in a box can be also realized in graphene nanoribbon ring [24][25][26][27][28][29][30] or dot [22,23] which is extensively studied recently both theoretically and experimentally.…”

Section: Introductionmentioning

confidence: 99%

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Classical and quantum dynamics of a kicked relativistic particle in a box

et al. 2018

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We study classical and quantum dynamics of a kicked relativistic particle confined in a one dimensional box. It is found that in classical case for chaotic motion the average kinetic energy grows in time, while for mixed regime the growth is suppressed. However, in case of regular motion energy fluctuates around certain value. Quantum dynamics is treated by solving the time-dependent Dirac equation with delta-kicking potential, whose exact solution is obtained for single kicking period. In quantum case, depending on the values of the kicking parameters, the average kinetic energy can be quasi periodic, or fluctuating around some value. Particle transport is studied by considering spatio-temporal evolution of the Gaussian wave packet and by analyzing the trembling motion.

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Section: Introductionmentioning

confidence: 99%

“…"Kicked" version of such system, i.e., kicked Dirac particle in a box can be realized, e.g., by putting it in a standing laser wave. One of such models has been recently studied in [18] by focusing on transport phenomena.…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum dynamics of a kicked relativistic particle in a box

et al. 2018

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“…Of late, the use of delta-function kicks has also been shown to impart interesting topological properties in the form of new Floquet topological phases such as semi-metallic phases in Harper models [78], chiral edge modes in Quantum Hall systems [79], appearance of unexpected topological equivalence between spectrally distinct Hamiltonians [80] as well as generation of Majorana end modes in 1-D systems [81]. This has led to interest in studying Dirac systems especially graphene, its nanoribbons and other hexagonal lattice models such as the Kitaev model under periodic driving or kicking [82][83][84]. In fact a very recent work has studied the effects of periodic kicking on the topological properties of the Qi-Wu-Zhang (QWZ) Chern insulator [85] and shown the emergence of higher Chern number phases in certain cases.…”

Section: Introductionmentioning

confidence: 99%

Floquet topological phase transitions in a kicked Haldane-Chern insulator

et al. 2018

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We consider a periodically δ-kicked Haldane type Chern insulator with the kicking applied in theẑ direction. This is known to behave as an inversion symmetry breaking perturbation, since it introduces a time-dependent staggered sub-lattice potential. We study here the effects of such driving on the topological phase diagram of the original Haldane model of a Hall effect in the absence of a net magnetic field. The resultant Floquet band topology is again that of a Chern insulator with the driving parameters, frequency and amplitude, influencing the inversion breaking mass M of the undriven Haldane model. A family of such, periodically related, 'Semenoff masses' is observed to occur which support a periodic repetition of Haldane like phase diagrams along the inversion breaking axis of the phase plots. Out of these it is possible to identify two in-equivalent masses in the reduced zone scheme of the Floquet quasienergies, which form the centres of two inequivalent phase diagrams. Further, variation in the driving amplitude's magnitude alone is shown to effect the topological properties by linearly shifting the phase diagram of the driven model about the position of the undriven case. A phenomenon that allows the study of Floquet topological phase transitions in the system. Finally, we also discuss some issues regarding the modifications to Haldane's condition for preventing band overlaps at the Dirac point touchings in the Brillouin zone, in the presence of kicking. * tridev.mishra@pilani.bits-pilani.ac.in

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“…In fact, very interesting phenomena arise from applying different kinds of deformation fields. Among these phenomena we have band gap openings at the Fermi level 2,3 , shifts of the Dirac cones from their original positions 2,4 , localized energy edge modes 5,6 , fractal-like energy spectrum 5,7,8 , merging of inequivalent Dirac cones 5,[9][10][11] , tunable dichroism 12 , anisotropic AC conductivity 13 , new and interesting transport properties [14][15][16][17] , etc. All these have opened an avenue for the emergent field of straintronics 2,[18][19][20][21][22] , which aim is to taylor the electronic properties of graphene via mechanical deformations.…”

Section: Introductionmentioning

confidence: 99%

Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons

Roman‐Taboada

Naumis

2017

Phys. Rev. B

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We study the emergence of electronic non-trivial topological flat bands in time-periodically driven strained graphene within a tight binding approach based on the Floquet formalism. In particular, we focus on uniaxial spatially periodic strain since it can be mapped onto an effective one-dimensional system. Also, two kinds of time-periodic driving are considered: a short pulse (delta kicking) and a sinusoidal variation (harmonic driving). We prove that for special strain wavelengths, the system is described by a two level Dirac Hamiltonian. Even though the study case is gapless, we find that topologically non-trivial flat bands emerge not only at zero-quasienergy but also at ±π quasienergy, the latter being a direct consequence of the periodicity of the Floquet space. Both kind of flat bands are thus understood as dispersionless bands joining two inequivalent touching band points with opposite Berry phase. This is confirmed by explicit evaluation of the Berry phase in the touching band points' neighborhood. Using that information, the topological phase diagram of the system is built. Additionally, the experimental feasibility of the model is discussed and two methods for the experimental realization of our model are proposed.

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Particle transport in graphene nanoribbon driven by ultrashort pulses

Cited by 6 publications

References 39 publications

Classical and quantum dynamics of a kicked relativistic particle in a box

Classical and quantum dynamics of a kicked relativistic particle in a box

Floquet topological phase transitions in a kicked Haldane-Chern insulator

Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons

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