메뉴 건너뛰기




Volumn 87, Issue 11, 2013, Pages

Grand canonical finite size numerical approaches in one and two dimensions: Real space energy renormalization and edge state generation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84875695944     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.115128     Document Type: Article
Times cited : (70)

References (34)
  • 1
    • 80053617168 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.115116
    • N. Shibata and C. Hotta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.115116 84, 115116 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 115116
    • Shibata, N.1    Hotta, C.2
  • 2
    • 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
  • 3
    • 84864609033 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.86.041108
    • C. Hotta and N. Shibata, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.041108 86, 041108 (R) (2012).
    • (2012) Phys. Rev. B , vol.86 , pp. 041108
    • Hotta, C.1    Shibata, N.2
  • 4
    • 35949034896 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.47.773
    • K. G. Wilson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.47.773 4, 773 (1975).
    • (1975) Rev. Mod. Phys. , vol.4 , pp. 773
    • Wilson, K.G.1
  • 5
    • 3442895828 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 6
    • 79961096060 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.83.052118
    • A. Gendiar, M. Daniska, Y. Lee, and T. Nishino, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.052118 83, 052118 (2011).
    • (2011) Phys. Rev. A , vol.83 , pp. 052118
    • Gendiar, A.1    Daniska, M.2    Lee, Y.3    Nishino, T.4
  • 7
    • 80455176683 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.165132
    • I. Maruyama, H. Katsura, and T. Hikihara, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.165132 84, 165132 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 165132
    • Maruyama, I.1    Katsura, H.2    Hikihara, T.3
  • 8
    • 84875758291 scopus 로고    scopus 로고
    • The SSD function in Ref. is the same as Eq. . Whereas, in Eq. , we renormalized the function by a factor of 2 to conveniently adopt to Eq. . The normalization factor of f(j) could be chosen arbitrarily in general.
    • The SSD function in Ref. is the same as Eq.. Whereas, in Eq., we renormalized the function by a factor of 2 to conveniently adopt to Eq.. The normalization factor of f (j) could be chosen arbitrarily in general.
  • 9
    • 84875738145 scopus 로고    scopus 로고
    • PBC.
    • PBC.
  • 10
    • 79957818923 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/44/25/252001
    • H. Katsura, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/44/25/ 252001 44, 252001 (2011).
    • (2011) J. Phys. A: Math. Theor. , vol.44 , pp. 252001
    • Katsura, H.1
  • 11
    • 84857989184 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/45/11/115003
    • H. Katsura, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/45/11/ 115003 45, 115003 (2012).
    • (2012) J. Phys. A: Math. Theor. , vol.45 , pp. 115003
    • Katsura, H.1
  • 12
    • 79961120620 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.060414
    • T. Hikihara and T. Nishino, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.060414 83, 060414 (R) (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 060414
    • Hikihara, T.1    Nishino, T.2
  • 15
    • 84875707557 scopus 로고    scopus 로고
    • The 1/L2 dependence of SSD energy levels is also pointed out by (private communication).
    • The 1 / L 2 dependence of SSD energy levels is also pointed out by H. Katsura (private communication).
    • Katsura, H.1
  • 16
    • 78049486932 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.144409
    • K. Okunishi and T. Nishino, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.144409 82, 144409 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 144409
    • Okunishi, K.1    Nishino, T.2
  • 17
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • DOI 10.1103/RevModPhys.77.259
    • See the following articles and the references therein, U. Schollöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.259 77, 259 (2005). (Pubitemid 41490660)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 259-315
    • Schollwock, U.1
  • 18
    • 0001250034 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.43.8321
    • Weihong Zheng, J. Oitmaa, and C. J. Hamer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.8321 43, 8321 (1991).
    • (1991) Phys. Rev. B , vol.43 , pp. 8321
    • Zheng, W.1    Oitmaa, J.2    Hamer, C.J.3
  • 19
    • 0000549667 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.46.6276
    • C. J. Hamer, Weihong Zheng, and P. Arndt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.6276 46, 6276 (1992).
    • (1992) Phys. Rev. B , vol.46 , pp. 6276
    • Hamer, C.J.1    Zheng, W.2    Arndt, P.3
  • 20
    • 0000725062 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.57.5013
    • M. E. Zhitomirsky and T. Nikuni, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.5013 57, 5013 (1998).
    • (1998) Phys. Rev. B , vol.57 , pp. 5013
    • Zhitomirsky, M.E.1    Nikuni, T.2
  • 21
    • 0032646135 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/11/24/311
    • A. Honecker, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/24/311 11, 4697 (1999).
    • (1999) J. Phys.: Condens. Matter , vol.11 , pp. 4697
    • Honecker, A.1
  • 22
    • 0001266303 scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.55.4448
    • H. Nishimori and S. Miyashita, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.55.4448 55, 4448 (1986).
    • (1986) J. Phys. Soc. Jpn. , vol.55 , pp. 4448
    • Nishimori, H.1    Miyashita, S.2
  • 23
    • 79961046355 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.100405
    • T. Sakai and H. Nakano, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.100405 83, 100405 (R) (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 100405
    • Sakai, T.1    Nakano, H.2
  • 26
    • 84860116636 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.85.134407
    • A. W. Sandvik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.134407 85, 134407 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 134407
    • Sandvik, A.W.1
  • 28
    • 34648843592 scopus 로고    scopus 로고
    • Neél order in square and triangular lattice heisenberg models
    • DOI 10.1103/PhysRevLett.99.127004
    • S. R. White and A. L. Chernyshev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.127004 99, 127004 (2007). (Pubitemid 47462647)
    • (2007) Physical Review Letters , vol.99 , Issue.12 , pp. 127004
    • White, S.R.1    Chernyshev, A.L.2
  • 29
    • 0035251902 scopus 로고    scopus 로고
    • Experimental realization of a 2D fractional quantum spin liquid
    • DOI 10.1103/PhysRevLett.86.1335
    • R. Coldea, D. A. Tennant, A. M. Tsvelik, and Z. Tylczynski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1335 86, 1335 (2001). (Pubitemid 32188317)
    • (2001) Physical Review Letters , vol.86 , Issue.7 , pp. 1335-1338
    • Coldea, R.1    Tennant, D.A.2    Tsvelik, A.M.3    Tylczynski, Z.4
  • 32
    • 84856521424 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.057205
    • Y. Shirata, H. Tanaka, A. Matsuo, and K. Kindo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.057205 108, 057205 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 057205
    • Shirata, Y.1    Tanaka, H.2    Matsuo, A.3    Kindo, K.4
  • 33
    • 4243782287 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.71.4283
    • M. Vekić and S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.4283 71, 4283 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 4283
    • Vekić, M.1    White, S.R.2
  • 34
    • 0009719407 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.53.14552
    • M. Vekić and S. R. White, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.14552 53, 14552 (1996).
    • (1996) Phys. Rev. B , vol.53 , pp. 14552
    • Vekić, M.1    White, S.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.