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Volumn 84, Issue 7, 2011, Pages

Edge effects in graphene nanostructures: From multiple reflection expansion to density of states

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EID: 80052418697     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.075468     Document Type: Article
Times cited : (63)

References (83)
  • 3
    • 33847690144 scopus 로고    scopus 로고
    • The rise of graphene
    • DOI 10.1038/nmat1849, PII NMAT1849
    • A. K. Geim and K. S. Novoselov, Nat. Mater. 1476-1122 10.1038/nmat1849 6, 183 (2007). (Pubitemid 46353764)
    • (2007) Nature Materials , vol.6 , Issue.3 , pp. 183-191
    • Geim, A.K.1    Novoselov, K.S.2
  • 4
    • 34948858511 scopus 로고    scopus 로고
    • Carbon-based electronics
    • DOI 10.1038/nnano.2007.300, PII NNANO2007300
    • P. Avouris, Z. Chen, and V. Perebeinos, Nat. Nanotech. 1748-3387 10.1038/nnano.2007.300 2, 605 (2007). (Pubitemid 47525190)
    • (2007) Nature Nanotechnology , vol.2 , Issue.10 , pp. 605-615
    • Avouris, P.1    Chen, Z.2    Perebeinos, V.3
  • 5
    • 56549126981 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.80.1337
    • C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 80.1337 80, 1337 (2008).
    • (2008) Rev. Mod. Phys. , vol.80 , pp. 1337
    • Beenakker, C.W.J.1
  • 8
    • 34547334459 scopus 로고    scopus 로고
    • Energy band-gap engineering of graphene nanoribbons
    • DOI 10.1103/PhysRevLett.98.206805
    • M. Y. Han, B. ̈zyilmaz, Y. Zhang, and P. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.206805 98, 206805 (2007). (Pubitemid 47139572)
    • (2007) Physical Review Letters , vol.98 , Issue.20 , pp. 206805
    • Han, M.Y.1    Ozyilmaz, B.2    Zhang, Y.3    Kim, P.4
  • 9
    • 40049093097 scopus 로고    scopus 로고
    • Chemically derived, ultrasmooth graphene nanoribbon semiconductors
    • DOI 10.1126/science.1150878
    • X. Li, X. Wang, L. Zhang, S. Lee, and H. Dai, Science SCIEAS 0036-8075 10.1126/science.1150878 319, 1229 (2008). (Pubitemid 351323015)
    • (2008) Science , vol.319 , Issue.5867 , pp. 1229-1232
    • Li, X.1    Wang, X.2    Zhang, L.3    Lee, S.4    Dai, H.5
  • 17
    • 70350107541 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/11/9/095021
    • J. Eroms and D. Weiss, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/ 11/9/095021 11, 095021 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 095021
    • Eroms, J.1    Weiss, D.2
  • 23
    • 33846376188 scopus 로고    scopus 로고
    • Quantum dots in graphene
    • DOI 10.1103/PhysRevLett.98.016802
    • P. G. Silvestrov and K. B. Efetov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.016802 98, 016802 (2007). (Pubitemid 46135123)
    • (2007) Physical Review Letters , vol.98 , Issue.1 , pp. 016802
    • Silvestrov, P.G.1    Efetov, K.B.2
  • 26
    • 66749135755 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.226803
    • J. H. Bardarson, M. Titov, and P. W. Brouwer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.226803 102, 226803 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 226803
    • Bardarson, J.H.1    Titov, M.2    Brouwer, P.W.3
  • 27
    • 64849086023 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.115423
    • F. Libisch, C. Stampfer, and J. Burgdörfer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.115423 79, 115423 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 115423
    • Libisch, F.1    Stampfer, C.2    Burgdörfer, J.3
  • 29
    • 77956693420 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.045409
    • M. Wimmer, A. R. Akhmerov, and F. Guinea, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.045409 82, 045409 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 045409
    • Wimmer, M.1    Akhmerov, A.R.2    Guinea, F.3
  • 32
    • 77955764730 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.195441
    • J. Schelter, D. Bohr, and B. Trauzettel, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.195441 81, 195441 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 195441
    • Schelter, J.1    Bohr, D.2    Trauzettel, B.3
  • 36
    • 2142762557 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/16/13/016
    • E. McCann and V. I. Fal'ko, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/13/016 16, 2371 (2004).
    • (2004) J. Phys. Condens. Matter , vol.16 , pp. 2371
    • McCann, E.1    Fal'Ko, V.I.2
  • 37
    • 34147198370 scopus 로고    scopus 로고
    • Detection of valley polarization in graphene by a superconducting contact
    • DOI 10.1103/PhysRevLett.98.157003
    • A. R. Akhmerov and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.157003 98, 157003 (2007). (Pubitemid 46582693)
    • (2007) Physical Review Letters , vol.98 , Issue.15 , pp. 157003
    • Akhmerov, A.R.1    Beenakker, C.W.J.2
  • 38
    • 40849094398 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.085423
    • A. R. Akhmerov and C. W. J. Beenakker, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.085423 77, 085423 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 085423
    • Akhmerov, A.R.1    Beenakker, C.W.J.2
  • 39
    • 0038139050 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(70)90497-5
    • R. Balian and C. Bloch, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(70) 90497-5 60, 401 (1970).
    • (1970) Ann. Phys. , vol.60 , pp. 401
    • Balian, R.1    Bloch, C.2
  • 40
    • 0037140392 scopus 로고    scopus 로고
    • IJPBEV 0217-9792 10.1142/S0217979202010300
    • I. Adagideli and P. M. Goldbart, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979202010300 16, 1381 (2002).
    • (2002) Int. J. Mod. Phys. B , vol.16 , pp. 1381
    • Adagideli, I.1    Goldbart, P.M.2
  • 44
    • 0001291754 scopus 로고
    • IJPBEV 1364-5021 10.1098/rspa.1976.0062
    • M. V. Berry and M. Tabor, Proc. R. Soc. London IJPBEV 1364-5021 10.1098/rspa.1976.0062 349, 101 (1976);
    • (1976) Proc. R. Soc. London , vol.349 , pp. 101
    • Berry, M.V.1    Tabor, M.2
  • 45
    • 0001127412 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/10/3/009
    • M. V. Berry and M. Tabor, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/10/3/009 10, 371 (1977).
    • (1977) J. Phys. A , vol.10 , pp. 371
    • Berry, M.V.1    Tabor, M.2
  • 46
    • 0348098932 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1006/aphy.1999.5912
    • J. Bolte and S. Keppeler, Ann. Phys. APNYA6 0003-4916 10.1006/aphy.1999.5912 274, 125 (1999).
    • (1999) Ann. Phys. , vol.274 , pp. 125
    • Bolte, J.1    Keppeler, S.2
  • 47
    • 45249104337 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.245413
    • P. Carmier and D. Ullmo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.245413 77, 245413 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 245413
    • Carmier, P.1    Ullmo, D.2
  • 54
    • 77956325959 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.241406
    • P. Carmier, C. Lewenkopf, and D. Ullmo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.241406 81, 241406 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 241406
    • Carmier, P.1    Lewenkopf, C.2    Ullmo, D.3
  • 56
    • 80052423331 scopus 로고    scopus 로고
    • e-print arXiv: 1108.1457.
    • e-print arXiv: 1108.1457.
  • 57
    • 36149007340 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.71.622
    • P. R. Wallace, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.71.622 71, 622 (1947).
    • (1947) Phys. Rev. , vol.71 , pp. 622
    • Wallace, P.R.1
  • 58
    • 80052394838 scopus 로고    scopus 로고
    • FD(E).
    • F D (E).
  • 60
    • 0003810939 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge
    • H.-J. Stöckmann, Quantum Chaos (Cambridge Univ. Press, Cambridge, 1999).
    • (1999) Quantum Chaos
    • Stöckmann, H.-J.1
  • 61
    • 80052396816 scopus 로고    scopus 로고
    • Ph.D. thesis, Universität Regensburg
    • M. Wimmer, Ph.D. thesis, Universität Regensburg, 2008.
    • (2008)
    • Wimmer, M.1
  • 65
    • 80052419952 scopus 로고    scopus 로고
    • z anti-commutes with the effective Hamiltonian without NNN hopping, giving rise to a particle-hole symmetry, which is broken by the NNN term at the edges (cf. appendix ).
    • z anti-commutes with the effective Hamiltonian without NNN hopping, giving rise to a particle-hole symmetry, which is broken by the NNN term at the edges (cf. appendix).
  • 67
    • 70349734857 scopus 로고    scopus 로고
    • JCTPAH 0021-9991 10.1016/j.jcp.2009.08.001
    • M. Wimmer and K. Richter, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2009.08.001 228, 8548 (2009).
    • (2009) J. Comput. Phys. , vol.228 , pp. 8548
    • Wimmer, M.1    Richter, K.2
  • 68
    • 0001934538 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(72)90006-1
    • R. Balian and C. Bloch, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(72) 90006-1 69, 76 (1972).
    • (1972) Ann. Phys. , vol.69 , pp. 76
    • Balian, R.1    Bloch, C.2
  • 70
  • 71
    • 0001511611 scopus 로고
    • CHAOEH 1364-5021 10.1098/rspa.1985.0078
    • M. Berry, Proc. R. Soc. London, Ser. A CHAOEH 1364-5021 10.1098/rspa.1985.0078 400, 229 (1985).
    • (1985) Proc. R. Soc. London, Ser. A , vol.400 , pp. 229
    • Berry, M.1
  • 73
    • 0001118586 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.54.R5219
    • K. Richter, D. Ullmo, and R. A. Jalabert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.R5219 54, 5219 (1996).
    • (1996) Phys. Rev. B , vol.54 , pp. 5219
    • Richter, K.1    Ullmo, D.2    Jalabert, R.A.3
  • 74
    • 0030295082 scopus 로고    scopus 로고
    • Orbital magnetism in the ballistic regime: Geometrical effects
    • DOI 10.1016/0370-1573(96)00010-5, PII S0370157396000105
    • K. Richter, D. Ullmo, and R. Jalabert, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(96)00010-5 276, 1 (1996). (Pubitemid 126162530)
    • (1996) Physics Report , vol.276 , Issue.1 , pp. 1-83
    • Richter, K.1    Ullmo, D.2    Jalabert, R.A.3
  • 75
    • 80052411096 scopus 로고    scopus 로고
    • Armchair graphene nanoribbons with such a width are metallic, while all others are semiconducting.
    • Armchair graphene nanoribbons with such a width are metallic, while all others are semiconducting.
  • 76
    • 33751110207 scopus 로고    scopus 로고
    • Half-metallic graphene nanoribbons
    • DOI 10.1038/nature05180, PII NATURE05180
    • Y.-W. Son, M. L. Cohen, and S. G. Louie, Nature (London) NATUAS 0028-0836 10.1038/nature05180 444, 347 (2006). (Pubitemid 44764106)
    • (2006) Nature , vol.444 , Issue.7117 , pp. 347-349
    • Son, Y.-W.1    Cohen, M.L.2    Louie, S.G.3
  • 78
    • 43049091887 scopus 로고    scopus 로고
    • Spin currents in rough graphene nanoribbons: Universal fluctuations and spin injection
    • DOI 10.1103/PhysRevLett.100.177207
    • M. Wimmer, I. Adagideli, S. Berber, D. Tománek, and K. Richter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.177207 100, 177207 (2008). (Pubitemid 351624642)
    • (2008) Physical Review Letters , vol.100 , Issue.17 , pp. 177207
    • Wimmer, M.1    Adagideli, I.2    Berber, S.3    Tomanek, D.4    Richter, K.5
  • 80
    • 78149267630 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.155448
    • S. Bhowmick and V. B. Shenoy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.155448 82, 155448 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 155448
    • Bhowmick, S.1    Shenoy, V.B.2
  • 81
    • 0037164991 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.266603
    • H. Suzuura and T. Ando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.266603 89, 266603 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 266603
    • Suzuura, H.1    Ando, T.2
  • 82
    • 67649122601 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.201404
    • S. Adam, P. W. Brouwer, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.201404 79, 201404 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 201404
    • Adam, S.1    Brouwer, P.W.2    Das Sarma, S.3
  • 83
    • 77956365305 scopus 로고    scopus 로고
    • APPLAB 0003-6951 10.1063/1.3486178
    • F. T. Vasko and I. V. Zozoulenko, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3486178 97, 092115 (2010).
    • (2010) Appl. Phys. Lett. , vol.97 , pp. 092115
    • Vasko, F.T.1    Zozoulenko, I.V.2


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