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Open AccessArticle

Quantized Alternate Current on Curved Graphene

1
ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Str. 27, HIT, CH-8093 Zürich, Switzerland
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Center for Life Nano Sciences at La Sapienza, Istituto Italiano di Tecnologia, viale R. Margherita, 265, 00161 Roma, Italy
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Institute for Applied Computational Science, J. Paulson School of Engineering and Applied Sciences, Harvard University, 29 Oxford Street, Cambridge, MA 02138, USA
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Departamento de Física, Universidade do Ceará, 60451-970 Fortaleza, Brazil
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Centre national de la recherche scientifique, UMR 7636, PMMH, ESPCI, 10 rue Vauquelin, 75231 Paris CEDEX 05, France
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(2), 39; https://doi.org/10.3390/condmat4020039
Received: 7 March 2019 / Revised: 3 April 2019 / Accepted: 6 April 2019 / Published: 9 April 2019
(This article belongs to the Special Issue Quantum Cellular Automata and Quantum Walks)
Based on the numerical solution of the Quantum Lattice Boltzmann Method in curved space, we predicted the onset of a quantized alternating current on curved graphene sheets. This numerical prediction was verified analytically via a set of semi-classical equations that related the Berry curvature to real space curvature. The proposed quantized oscillating current on curved graphene could form the basis for the implementation of quantum information-processing algorithms. View Full-Text
Keywords: graphene; electronic transport; quantum cellular automata; curved space; quantum lattice Boltzmann; Dirac fermion; Bloch oscillations; Berry curvature graphene; electronic transport; quantum cellular automata; curved space; quantum lattice Boltzmann; Dirac fermion; Bloch oscillations; Berry curvature
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MDPI and ACS Style

Flouris, K.; Succi, S.; Herrmann, H.J. Quantized Alternate Current on Curved Graphene. Condens. Matter 2019, 4, 39.

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