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A. Nauen, U. Zeitler, R. Haug, A. Jansen, M. Dilger, K. Eberl (2002)
Magnetoresistance of a modulated two-dimensional electron gas in a parallel magnetic fieldPhysica E-low-dimensional Systems & Nanostructures, 13
Di Wei, T. Sar, Javier Sanchez-Yamagishi, Kenji Watanabe, T. Taniguchi, P. Jarillo-Herrero, B. Halperin, A. Yacoby (2017)
Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in grapheneScience Advances, 3
B. Ozyilmaz, P. Jarillo-Herrero, D. Efetov, D. Abanin, L. Levitov, P. Kim (2007)
Electronic transport and quantum hall effect in bipolar graphene p-n-p junctions.Physical review letters, 99 16
T. Schumann, K. Friedland, M. Oliveira, A. Tahraoui, J. Lopes, H. Riechert (2012)
Anisotropic quantum Hall effect in epitaxial graphene on stepped SiC surfacesPhysical Review B, 85
S. Ciná, D. Whittaker, D. Arnone, T. Burke, H. Hughes, M. Leadbeater, M. Pepper, D. Ritchie (1999)
Magnetoplasmons in a Tunable Periodically Modulated Magnetic FieldPhysical Review Letters, 83
H. Kuramochi, S. Odaka, K. Morita, Satoru Tanaka, H. Miyazaki, Michael Lee, Song-Lin Li, H. Hiura, K. Tsukagoshi (2012)
Role of atomic terraces and steps in the electron transport properties of epitaxial graphene grown on SiCAIP Advances, 2
(2016)
Electron Devices 63
T. Fang, A. Konar, H. Xing, D. Jena (2008)
Mobility in semiconducting graphene nanoribbons: Phonon, impurity, and edge roughness scatteringPhysical Review B, 78
A. Goharrizi, M. Pourfath, M. Fathipour, H. Kosina, S. Selberherr (2011)
An Analytical Model for Line-Edge Roughness Limited Mobility of Graphene NanoribbonsIEEE Transactions on Electron Devices, 58
Diego Rainis, F. Taddei, M. Polini, G. León, F. Guinea, V. Fal’ko (2010)
Gauge fields and interferometry in folded graphenePhysical Review B, 83
Parsa Bonderson, A. Kitaev, K. Shtengel (2005)
Detecting non-Abelian statistics in the nu = 5/2 fractional quantum hall state.Physical review letters, 96 1
(2012)
Nanotechnol
J. Robinson, C. Puls, N. Staley, J. Stitt, M. Fanton (2008)
Raman topography and strain uniformity of large-area epitaxial graphene.Nano letters, 9 3
M. Ayhan, G. Kalita, M. Kondo, M. Tanemura (2014)
Photoresponsivity of silver nanoparticles decorated graphene–silicon Schottky junctionRSC Advances, 4
Jianfeng Bao, Osamu Yasui, W. Norimatsu, Keita Matsuda, M. Kusunoki (2016)
Sequential control of step-bunching during graphene growth on SiC (0001)Applied Physics Letters, 109
F. Giannazzo, I. Deretzis, G. Nicotra, G. Fisichella, C. Spinella, F. Roccaforte, A. Magna (2014)
Electronic properties of epitaxial graphene residing on SiC facets probed by conductive atomic force microscopyApplied Surface Science, 291
Chul‐Ho Lee, T. Schiros, E. Santos, Bumjung Kim, K. Yager, Seok‐Ju Kang, Sunwoo Lee, Jaeeun Yu, Kenji Watanabe, T. Taniguchi, J. Hone, E. Kaxiras, C. Nuckolls, P. Kim (2014)
Epitaxial Growth of Molecular Crystals on van der Waals Substrates for High‐Performance Organic ElectronicsAdvanced Materials, 26
A. Neto, F. Guinea, N. Peres, K. Novoselov, SUPARNA DUTTASINHA (2007)
The electronic properties of grapheneReviews of Modern Physics, 81
K. Misawa, T. Sugiyama, G. Hashiguchi, H. Toshiyoshi (2015)
Reliability of potassium ion electret in silicon oxide for vibrational energy harvester applicationsJapanese Journal of Applied Physics, 54
(2012)
AIP Advances 2
P. Lin, F. Camino, V. Goldman (2009)
Electron interferometry in the quantum Hall regime: Aharonov-Bohm effect of interacting electronsPhysical Review B, 80
D. Ferry (2015)
Transport in semiconductor mesoscopic devices
C. Chamon, D. Freed, S. Kivelson, S. Sondhi, X. Wen (1996)
Two point-contact interferometer for quantum Hall systemsPhysical Review B, 55
A. Endo, F. Komori, K. Morita, T. Kajiwara, Satoru Tanaka (2015)
Highly Anisotropic Parallel Conduction in the Stepped Substrate of Epitaxial Graphene Grown on Vicinal SiCJournal of Low Temperature Physics, 179
Yang Xu, H. Gao, Mei-jiao Li, Zhendong Guo, Hongsheng Chen, Zhong-he Jin, Bin Yu (2011)
Electronic transport in monolayer graphene with extreme physical deformation: ab initio density functional calculationNanotechnology, 22
B. Briggs, B. Nagabhirava, G. Rao, R. Geer, H. Gao, Yang Xu, Bin Yu (2010)
Electromechanical robustness of monolayer graphene with extreme bendingApplied Physics Letters, 97
Alphenaar, Staring, van H, Mabesoone, Buyk, Foxon (1992)
Influence of adiabatically transmitted edge channels on single-electron tunneling through a quantum dot.Physical review. B, Condensed matter, 46 11
L. Oroszlány, P. Rakyta, A. Kormányos, C. Lambert, J. Cserti (2008)
Theory of snake states in graphenePhysical Review B, 77
Sei Morikawa, S. Masubuchi, R. Moriya, Kenji Watanabe, T. Taniguchi, Tomoki Science, U. Tokyo, Institute Electronics, National Science (2015)
Edge-channel interferometer at the graphene quantum Hall pn junctionApplied Physics Letters, 106
(2009)
New J
B. Hackens, F. Martins, S. Faniel, C. Dutu, H. Sellier, Serge Huant, Marco Pala, L. Desplanque, X. Wallart, V. Bayot, V. Bayot (2010)
Imaging Coulomb islands in a quantum Hall interferometer.Nature communications, 1
Leadbeater, Foden, Burroughes, Pepper, Burke, Wang, Grimshaw, Ritchie (1995)
Magnetotransport in a nonplanar two-dimensional electron gas.Physical review. B, Condensed matter, 52 12
Ron Sabo, I. Gurman, Amir Rosenblatt, F. Lafont, Daniel Banitt, Jinhong Park, M. Heiblum, Y. Gefen, V. Umansky, D. Mahalu (2016)
Edge reconstruction in fractional quantum Hall statesNature Physics, 13
Nima Djavid, K. Khaliji, S. Tabatabaei, M. Pourfath (2014)
A Computational Study on the Electronic Transport Properties of Ultranarrow Disordered Zigzag Graphene NanoribbonsIEEE Transactions on Electron Devices, 61
J. Schelter, P. Recher, B. Trauzettel (2012)
The Aharonov-Bohm effect in graphene ringsSolid State Communications, 152
A. Mre'nca-Kolasi'nska, S. Heun, B. Szafran (2015)
Aharonov-Bohm interferometer based on n -p junctions in graphene nanoribbonsPhysical Review B, 93
B. Halperin, A. Stern, I. Neder, B. Rosenow (2010)
Theory of the Fabry-Perot quantum Hall interferometerPhysical Review B, 83
D. Pakdehi, J. Aprojanz, A. Sinterhauf, K. Pierz, M. Kruskopf, P. Willke, J. Baringhaus, J. Stöckmann, G. Traeger, F. Hohls, C. Tegenkamp, M. Wenderoth, F. Ahlers, H. Schumacher (2018)
Minimum Resistance Anisotropy of Epitaxial Graphene on SiC.ACS applied materials & interfaces, 10 6
T. Tsukamoto, T. Ogino (2012)
Graphene etching controlled by atomic structures on the substrate surfaceCarbon, 50
(2015)
Ferry (IOP Publishing, 2015
Yiming Zhang, D. McClure, E. Levenson-Falk, C. Marcus, L. Pfeiffer, K. West (2008)
Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometersPhysical Review B, 79
Douglas McClure, Yiming Zhang, Bernd Rosenow, E. Levenson-Falk, Charles Marcus, L. Pfeiffer, K. West (2009)
Edge-state velocity and coherence in a quantum Hall Fabry-Pérot interferometer.Physical review letters, 103 20
Rui Zhang, Zhenhua Wu, Xiaojing Li, Kai-Kuen Chang (2017)
Aharonov-Bohm effect in monolayer phosphorene nanoringsPhysical Review B, 95
Long-Jing Yin, Ke-ke Bai, Wenxiao Wang, Si-Yu Li, Yu Zhang, Lin He (2017)
Landau quantization of Dirac fermions in graphene and its multilayersFrontiers of Physics, 12
S. Dai, Qiong Ma, Mengkun Liu, Mengkun Liu, T. Andersen, Z. Fei, M. Goldflam, M. Wagner, Kenji Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. Janssen, Shou-En Zhu, P. Jarillo-Herrero, M. Fogler, D. Basov (2015)
Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial.Nature nanotechnology, 10 8
M. Leadbeater, C. Foden, J. Burroughes, T. Burke, L. Wang, M. Grimshaw, D. Ritchie, M. Pepper (1996)
Electron transport in a non-planar 2DEGSurface Science, 361
K. Klitzing (1983)
Quantized hall effectJournal of Magnetism and Magnetic Materials, 31
Alexander Gray, Doménica Garzón, Indranil Das, Noora Ghadiri (1959)
Significance of Electromagnetic Potentials in the Quantum TheoryPhysical Review, 115
Melinda Han, J. Brant, P. Kim (2009)
Electron transport in disordered graphene nanoribbons.Physical review letters, 104 5
M. Evaldsson, I. Zozoulenko, Hengyi Xu, Thomas Heinzel (2008)
Edge-disorder-induced Anderson localization and conduction gap in graphene nanoribbonsPhysical Review B, 78
S. Dubois, Z. Zanolli, Xavier Declerck, J. Charlier (2009)
Electronic properties and quantum transport in Graphene-based nanostructuresThe European Physical Journal B, 72
Melinda Han, B. Ozyilmaz, Yuanbo Zhang, P. Kim (2007)
Energy band-gap engineering of graphene nanoribbons.Physical review letters, 98 20
A. Nogaret (2010)
Electron dynamics in inhomogeneous magnetic fieldsJournal of Physics: Condensed Matter, 22
(2007)
Science 317
N. Paradiso, S. Heun, S. Roddaro, G. Biasiol, L. Sorba, D. Venturelli, F. Taddei, V. Giovannetti, F. Beltram (2012)
Imaging backscattering through impurity-induced antidots in quantum Hall constrictionsPhysical Review B, 86
(2016)
Physica E 76
A. Shytov, N. Gu, L. Levitov (2007)
Quantized Transport in Graphene p-n Junctions in a Magnetic FieldScience, 317
A. Stöhr, J. Baringhaus, J. Aprojanz, S. Link, C. Tegenkamp, Y. Niu, A. Zakharov, Chaoyu Chen, J. Avila, M. Asensio, U. Starke (2017)
Graphene Ribbon Growth on Structured Silicon CarbideAnnalen der Physik, 529
Kenjiro Hayashi, Shintaro Sato, N. Yokoyama (2013)
Anisotropic graphene growth accompanied by step bunching on a dynamic copper surfaceNanotechnology, 24
I. Ibrahim, V. Schweigert, F. Peeters (1997)
CLASSICAL TRANSPORT OF ELECTRONS THROUGH MAGNETIC BARRIERSPhysical Review B, 56
T. Machida, Sei Morikawa, S. Masubuchi, R. Moriya, M. Arai, Kenji Watanabe, T. Taniguchi (2015)
Edge-Channel Transport of Dirac Fermions in Graphene Quantum Hall JunctionsJournal of the Physical Society of Japan, 84
Sarah Schreier, A. Stern, B. Rosenow, B. Halperin (2015)
Thermodynamic properties of a quantum hall anti-dot interferometerarXiv: Mesoscale and Nanoscale Physics
A. Cresti, S. Roche (2009)
Range and correlation effects in edge disordered graphene nanoribbonsNew Journal of Physics, 11
(2012)
Carbon 50
Ke-ke Bai, Jiabin Qiao, Hua Jiang, Haiwen Liu, Lin He (2017)
Massless Dirac fermions trapping in a quasi-one-dimensional npn junction of a continuous graphene monolayerPhysical Review B, 95
(2004)
and K
V. Pereira, A. Neto, N. Peres (2008)
Tight-binding approach to uniaxial strain in graphenePhysical Review B, 80
F. Camino, Wei Zhou, V. Goldman (2007)
Quantum transport in electron Fabry-Perot interferometersPhysical Review B, 76
V. Nguyen, J. Saint-Martin, D. Querlioz, F. Mazzamuto, A. Bournel, Y. Niquet, P. Dollfus (2013)
Bandgap nanoengineering of graphene tunnel diodes and tunnel transistors to control the negative differential resistanceJournal of Computational Electronics, 12
Neetu Agrawal, Sankalpa Ghosh, M. Sharma (2013)
Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlatticesInternational Journal of Modern Physics B, 27
E. Pallecchi, F. Lafont, V. Cavaliere, F. Schopfer, D. Mailly, W. Poirier, A. Ouerghi (2014)
High Electron Mobility in Epitaxial Graphene on 4H-SiC(0001) via post-growth annealing under hydrogenScientific Reports, 4
R. Ilan, E. Grosfeld, K. Schoutens, A. Stern (2008)
Experimental signatures of non-Abelian statistics in clustered quantum Hall statesPhysical Review B, 79
V. Cheianov, V. Fal’ko (2006)
Selective transmission of Dirac electrons and ballistic magnetoresistance of n − p junctions in graphenePhysical Review B, 74
F. Camino, W. Zhou, V. Goldman (2007)
e/3 Laughlin quasiparticle primary-filling nu=1/3 interferometer.Physical review letters, 98 7
D. Querlioz, Y. Apertet, A. Valentin, K. Huet, A. Bournel, S. Galdin-Retailleau, P. Dollfus (2008)
Suppression of the orientation effects on bandgap in graphene nanoribbons in the presence of edge disorderApplied Physics Letters, 92
Philip Plowright (2019)
Front2020 Fourth World Conference on Smart Trends in Systems, Security and Sustainability (WorldS4)
Tarun Ghosh, A. Martino, Wolfgang Häusler, Luca Dell'Anna, R. Egger (2007)
Conductance quantization and snake states in graphene magnetic waveguidesPhysical Review B, 77
A. Stern, B. Halperin (2005)
Proposed experiments to probe the non-Abelian nu = 5/2 quantum hall state.Physical review letters, 96 1
F. Speck, M. Ostler, S. Besendörfer, Julia Krone, M. Wanke, T. Seyller (2017)
Growth and Intercalation of Graphene on Silicon Carbide Studied by Low‐Energy Electron MicroscopyAnnalen der Physik, 529
P. Makk, C. Handschin, E. Tóvári, Kenji Watanabe, T. Taniguchi, K. Richter, Ming-Hao Liu, C. Schoenenberger (2018)
Coexistence of classical snake states and Aharonov-Bohm oscillations along graphene p−n junctionsPhysical Review B
C. Lewenkopf, E. Mucciolo (2013)
The recursive Green’s function method for grapheneJournal of Computational Electronics, 12
Parsa Bonderson, K. Shtengel, J. Slingerland (2006)
Probing non-Abelian statistics with quasiparticle interferometry.Physical review letters, 97 1
M. Fischetti, S. Narayanan (2011)
An empirical pseudopotential approach to surface and line-edge roughness scattering in nanostructures: Application to Si thin films and nanowires and to graphene nanoribbonsJournal of Applied Physics, 110
T. Misawa, Takuya Okanaga, Aizuddin Mohamad, T. Sakai, Y. Awano (2015)
Line width dependence of transport properties in graphene nanoribbon interconnects with real space edge roughness determined by Monte Carlo methodJapanese Journal of Applied Physics, 54
Y. Son, M. Cohen, S. Louie (2006)
Energy gaps in graphene nanoribbons.Physical review letters, 97 21
Tony Low, V. Perebeinos, J. Tersoff, P. Avouris (2012)
Deformation and scattering in graphene over substrate steps.Physical review letters, 108 9
M. Grayson, M. Huber, M. Fischer, D. Schuh, M. Bichler, G. Abstreiter, J. Smet, L. Hoeppel, K. Klitzing (2003)
Quantum Hall Effect in a Two-Dimensional Electron System Bent by 90
T. Ciuk, S. Cakmakyapan, E. Ozbay, P. Caban, K. Grodecki, A. Krajewska, I. Pasternak, J. Szmidt, W. Strupinski (2014)
Step-edge-induced resistance anisotropy in quasi-free-standing bilayer chemical vapor deposition graphene on SiCJournal of Applied Physics, 116
James Williams, L. DiCarlo, C. Marcus (2007)
Quantum Hall Effect in a Gate-Controlled p-n Junction of GrapheneScience, 317
D. McClure, W. Chang, C. Marcus, L. Pfeiffer, K. West (2011)
Fabry-Perot interferometry with fractional charges.Physical review letters, 108 25
N. Ofek, A. Bid, M. Heiblum, A. Stern, V. Umansky, D. Mahalu (2009)
Role of interactions in an electronic Fabry–Perot interferometer operating in the quantum Hall effect regimeProceedings of the National Academy of Sciences, 107
S. Odaka, H. Miyazaki, Song-Lin Li, A. Kanda, K. Morita, Satoru Tanaka, Y. Miyata, H. Kataura, K. Tsukagoshi, Y. Aoyagi (2010)
Anisotropic transport in graphene on SiC substrate with periodic nanofacetsApplied Physics Letters, 96
V. Nguyen, Y. Niquet, P. Dollfus (2013)
Aharonov-Bohm effect and giant magnetoresistance in graphene nanoribbon ringsPhysical Review B, 88
M. Kataoka, C. Ford, G. Faini, D. Mailly, M. Simmons, D. Ritchie (2000)
Coulomb blockade of tunneling through compressible rings formed around an antidot: An explanation for h / 2 e Aharonov-Bohm oscillationsPhysical Review B, 62
(2003)
Hangmo Yi
Heung-Sun Sim, M. Kataoka, C. Ford (2007)
Electron interactions in an antidot in the integer quantum Hall regimePhysics Reports, 456
A. Rudenko, M. Katsnelson (2014)
Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorusPhysical Review B, 89
H. Sim, M. Kataoka, H. Yi, N. Hwang, Mahn‐Soo Choi, S. Yang (2003)
Coulomb blockade and kondo effect in a quantum Hall antidot.Physical review letters, 91 26 Pt 1
F. Martins, S. Faniel, B. Rosenow, M. Pala, H. Sellier, S. Huant, L. Desplanque, X. Wallart, V. Bayot, B. Hackens (2013)
Scanning gate spectroscopy of transport across a quantum Hall nano-islandNew Journal of Physics, 15
(2010)
due to the mechanical robustness of graphene, negligi-bly small strain is observed even in the significantly bent system
Jongkyong Lee, Shiro Yamazaki, H. Yun, Jinwoo Park, G. Kennedy, Gyu-Tae Kim, O. Pietzsch, R. Wiesendanger, Sangwook Lee, Suklyun Hong, U. Dettlaff-weglikowska, S. Roth (2013)
Modification of electrical properties of graphene by substrate-induced nanomodulation.Nano letters, 13 8
M. Poljak, T. Suligoj (2016)
Quantum Transport Analysis of Conductance Variability in Graphene Nanoribbons With Edge DefectsIEEE Transactions on Electron Devices, 63
S. Ihnatsenka, I. Zozoulenko, G. Kirczenow (2009)
Electron-electron interactions in antidot-based Aharonov-Bohm interferometersPhysical Review B, 80
Aharonov–Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions. Based on a theoretical investigation of the magnetotransport in stepped graphene, a new kind of Aharonov–Bohm interferometers is proposed herewith. Indeed, when a strong magnetic field is applied in a proper direction, oppositely propagating edge states can be achieved in both terrace and facet zones of the step, leading to the interedge scatterings and hence strong Aharonov–Bohm oscillations in the conductance in the quantum Hall regime. Taking place in the unipolar regime, this interference is also predicted in stepped systems of other 2D layered materials.
2D Materials – IOP Publishing
Published: Oct 1, 2019
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