Lévy flight for electrons in graphene: Superdiffusive-to-diffusive transport transition

Fonseca, Diego B.; Pereira, Luiz Felipe C.; Barbosa, A. L. R.

doi:10.1103/physrevb.107.155432

Cited by 6 publications

(3 citation statements)

References 56 publications

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“…Additionally, the concept of an electronic Lévy glass has been proposed, where the transmission of electrons in graphene nanoribbons (GNRs) is influenced by electrostatic clusters, leading to a transition from super-diffusive to diffusive transport regimes. These graphene research advancements open new avenues for designing functional electronic metamaterials and devices that mimic optical behaviors, offering potential applications in areas such as electron optics, quantum computing, and advanced sensing technologies [ 36 ].…”

Section: Graphene Field-effect Transistorsmentioning

confidence: 99%

Comprehensive Study and Design of Graphene Transistor

Cai,

Ye,

Jahannia

et al. 2024

Micromachines

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Graphene, renowned for its exceptional electrical, optical, and mechanical properties, takes center stage in the realm of next-generation electronics. In this paper, we provide a thorough investigation into the comprehensive fabrication process of graphene field-effect transistors. Recognizing the pivotal role graphene quality plays in determining device performance, we explore many techniques and metrological methods to assess and ensure the superior quality of graphene layers. In addition, we delve into the intricate nuances of doping graphene and examine its effects on electronic properties. We uncover the transformative impact these dopants have on the charge carrier concentration, bandgap, and overall device performance. By amalgamating these critical facets of graphene field-effect transistors fabrication and analysis, this study offers a holistic understanding for researchers and engineers aiming to optimize the performance of graphene-based electronic devices.

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Section: Graphene Field-effect Transistorsmentioning

confidence: 99%

Comprehensive Study and Design of Graphene Transistor

Cai,

Ye,

Jahannia

et al. 2024

Micromachines

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“…Disorder is not the exception in the context of 2D materials. The so-called structural disorder has become a topic of great interest in low dimensional structures based on graphene [21][22][23][24][25][26][27], silicene [28][29][30] and phosphorene [31]. In particular, the transmission and transport properties are affected by the increase of uncorrelated disorder [21,22,28].…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, the tunneling magnetoresistance and valley-spin polarization can be enhanced by the structural disorder [30]. Large-range correlated disorder has been also studied in low-dimensional structures based on 2D materials [23][24][25][26][27]. The long-range correlated disorder associated to the position-dependent velocity of Dirac fermions results in an increase of the conductance when a metallic phase emerges [23].…”

Section: Introductionmentioning

confidence: 99%

Extended states in random dimer gated graphene superlattices

Rodríguez-González,

García-Cervantes,

García-Rodríguez

et al. 2024

J. Phys.: Condens. Matter

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Ordered and disordered semiconductor superlattices represent structures with completely opposed properties. For instance, ordered superlattices exhibit extended Bloch-like states, while disordered superlattices present localized states. These characteristics lead to higher conductance in ordered superlattices compared to disordered ones. Surprisingly, disordered dimer superlattices, which consist of two types of quantum wells with one type always appearing in pairs, exhibit extended states. The percentage of dissimilar wells does not need to be large to have extended states. Furthermore, the conductance is intermediate between ordered and disordered superlattices. In this work, we explore disordered dimer superlattices in graphene. We calculate the transmission and transport properties using the transfer matrix method and the Landauer-Büttiker formalism, respectively. We identify and discuss the main energy regions where the conductance of random dimer superlattices in graphene is intermediate to that of ordered and disordered superlattices. We also analyze the resonant energies of the double quantum well cavity and the electronic structure of the host gated graphene superlattice, ﬁnding that the coupling between the resonant energies and the superlattice energy minibands gives rise to the extended states in random dimer gated graphene superlattices.

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