메뉴 건너뛰기




Volumn 84, Issue 19, 2011, Pages

Lattice generalization of the Dirac equation to general spin and the role of the flat band

Author keywords

[No Author keywords available]

Indexed keywords


EID: 82655178852     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.195422     Document Type: Article
Times cited : (203)

References (56)
  • 3
    • 77954831971 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.041410
    • R. Shen, L. B. Shao, B. Wang, and D. Y. Xing, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.041410 81, 041410 (R) (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 041410
    • Shen, R.1    Shao, L.B.2    Wang, B.3    Xing, D.Y.4
  • 4
    • 77957330225 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.075104
    • D. Green, L. Santos, and C. Chamon, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075104 82, 075104 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 075104
    • Green, D.1    Santos, L.2    Chamon, C.3
  • 5
    • 78650957207 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.041402
    • V. Apaja, M. Hyrkäs, and M. Manninen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.041402 82, 041402 (R) (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 041402
    • Apaja, V.1    Hyrkäs, M.2    Manninen, M.3
  • 9
    • 78349239882 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
    • M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.3045 82, 3045 (2010).
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 3045
    • Hasan, M.Z.1    Kane, C.L.2
  • 10
    • 82655185028 scopus 로고    scopus 로고
    • This ties in with the observation of Ref. 4 that flat bands go along with integer-spin Berry's phases.
    • This ties in with the observation of Ref. 4 that flat bands go along with integer-spin Berry's phases.
  • 12
    • 82655175083 scopus 로고    scopus 로고
    • [
    • [http://www.easyspin.org/].
  • 17
    • 0000783193 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
    • F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2015
    • Haldane, F.D.M.1
  • 18
    • 79960631219 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803
    • K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803 106, 236803 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 236803
    • Sun, K.1    Gu, Z.2    Katsura, H.3    Das Sarma, S.4
  • 19
    • 79960640281 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804
    • T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804 106, 236804 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 236804
    • Neupert, T.1    Santos, L.2    Chamon, C.3    Mudry, C.4
  • 20
    • 79960644022 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802
    • E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802 106, 236802 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 236802
    • Tang, E.1    Mei, J.-W.2    Wen, X.-G.3
  • 21
    • 28844477796 scopus 로고    scopus 로고
    • Quantum Spin hall effect in graphene
    • DOI 10.1103/PhysRevLett.95.226801, 226801
    • C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 95, 226801 (2005). (Pubitemid 41776999)
    • (2005) Physical Review Letters , vol.95 , Issue.22 , pp. 1-4
    • Kane, C.L.1    Mele, E.J.2
  • 22
    • 3442881546 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.53.2449
    • G. W. Semenoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53. 2449 53, 2449 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 2449
    • Semenoff, G.W.1
  • 23
    • 34347373900 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.76.045302
    • L. Fu and C. L. Kane, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 045302 76, 045302 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 045302
    • Fu, L.1    Kane, C.L.2
  • 24
    • 79951601783 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.83.023609
    • D. Bercioux, N. Goldman, and D. F. Urban, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.023609 83, 023609 (2011).
    • (2011) Phys. Rev. A , vol.83 , pp. 023609
    • Bercioux, D.1    Goldman, N.2    Urban, D.F.3
  • 25
    • 77957560924 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.085310
    • C. Weeks and M. Franz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82. 085310 82, 085310 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 085310
    • Weeks, C.1    Franz, M.2
  • 26
    • 33644674176 scopus 로고    scopus 로고
    • Landau-level degeneracy and quantum hall effect in a graphite bilayer
    • DOI 10.1103/PhysRevLett.96.086805, 086805
    • E. McCann and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086805 96, 086805 (2006). (Pubitemid 43334272)
    • (2006) Physical Review Letters , vol.96 , Issue.8 , pp. 1-4
    • McCann, E.1    Fal'ko, V.I.2
  • 28
    • 82655175084 scopus 로고    scopus 로고
    • e-print arXiv: 1004.3396.
    • M. O. Goerbig, e-print arXiv: 1004.3396.
    • Goerbig, M.O.1
  • 29
    • 33644674176 scopus 로고    scopus 로고
    • Landau-level degeneracy and quantum hall effect in a graphite bilayer
    • DOI 10.1103/PhysRevLett.96.086805, 086805
    • E. McCann and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086805 96, 086805 (2006). (Pubitemid 43334272)
    • (2006) Physical Review Letters , vol.96 , Issue.8 , pp. 1-4
    • McCann, E.1    Fal'ko, V.I.2
  • 30
    • 42049118567 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.155416
    • H. Min and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.155416 77, 155416 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 155416
    • Min, H.1    MacDonald, A.H.2
  • 31
    • 78649746048 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/87/47008
    • J. Kailasvuori, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/ 47008 87, 47008 (2009).
    • (2009) Europhys. Lett. , vol.87 , pp. 47008
    • Kailasvuori, J.1
  • 33
    • 0000987088 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.19.2461
    • Y. Aharonov and A. Casher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.19.2461 19, 2461 (1979).
    • (1979) Phys. Rev. A , vol.19 , pp. 2461
    • Aharonov, Y.1    Casher, A.2
  • 36
    • 33748296088 scopus 로고    scopus 로고
    • Chiral tunnelling and the Klein paradox in graphene
    • DOI 10.1038/nphys384, PII NPHYS384
    • M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys384 2, 620 (2006). (Pubitemid 44328348)
    • (2006) Nature Physics , vol.2 , Issue.9 , pp. 620-625
    • Katsnelson, M.I.1    Novoselov, K.S.2    Geim, A.K.3
  • 41
    • 0001574710 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.50.5173
    • K. I. Petsas, A. B. Coates, and G. Grynberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.5173 50, 5173 (1994).
    • (1994) Phys. Rev. A , vol.50 , pp. 5173
    • Petsas, K.I.1    Coates, A.B.2    Grynberg, G.3
  • 43
    • 0029275888 scopus 로고
    • OPLEDP 0146-9592 10.1364/OL.20.000429
    • D. Mei, B. Cheng, W. Hu, Z. Li, and D. Zhang, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.20.000429 20, 429 (1995).
    • (1995) Opt. Lett. , vol.20 , pp. 429
    • Mei, D.1    Cheng, B.2    Hu, W.3    Li, Z.4    Zhang, D.5
  • 47
    • 79960639588 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.205301
    • A. Tokuno and T. Giamarchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.205301 106, 205301 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 205301
    • Tokuno, A.1    Giamarchi, T.2
  • 48
    • 33845390735 scopus 로고    scopus 로고
    • Spin hall effects for cold atoms in a light-induced gauge potential
    • DOI 10.1103/PhysRevLett.97.240401
    • S.-L. Zhu, H. Fu, C.-J. Wu, S.-C. Zhang, and L.-M. Duan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.240401 97, 240401 (2006). (Pubitemid 44907661)
    • (2006) Physical Review Letters , vol.97 , Issue.24 , pp. 240401
    • Zhu, S.-L.1    Fu, H.2    Wu, C.-J.3    Zhang, S.-C.4    Duan, L.-M.5
  • 49
    • 47049129431 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.78.013609
    • R. N. Palmer, A. Klein, and D. Jaksch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013609 78, 013609 (2008).
    • (2008) Phys. Rev. A , vol.78 , pp. 013609
    • Palmer, R.N.1    Klein, A.2    Jaksch, D.3
  • 50
    • 40849094864 scopus 로고    scopus 로고
    • Trapped fermi gases in rotating optical lattices: Realization and detection of the topological hofstadter insulator
    • DOI 10.1103/PhysRevLett.100.070402
    • R. O. Umucalilar, H. Zhai, and M. O. Oktel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.070402 100, 070402 (2008). (Pubitemid 351393606)
    • (2008) Physical Review Letters , vol.100 , Issue.7 , pp. 070402
    • Umucalilar, R.O.1    Zhai, H.2    Oktel, M.O.3
  • 53
    • 0002645023 scopus 로고    scopus 로고
    • PHTOAD 0031-9228 10.1063/1.881845
    • M. Raizen, C. Salomon, and Q. Niu, Phys. Today PHTOAD 0031-9228 10.1063/1.881845 50 (7), 30 (1997).
    • (1997) Phys. Today , vol.50 , pp. 30
    • Raizen, M.1    Salomon, C.2    Niu, Q.3
  • 56
    • 82655168461 scopus 로고    scopus 로고
    • y. It is not flat, but has the self-conjugate property upon k→-k.
    • y. It is not flat, but has the self-conjugate property upon k → - k.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.