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Volumn 81, Issue 6, 2010, Pages

Topological quantum phase transition in an exactly solvable model of a chiral spin liquid at finite temperature

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EID: 77954824094     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.060403     Document Type: Article
Times cited : (32)

References (30)
  • 2
    • 77954828314 scopus 로고    scopus 로고
    • arXiv:0804.3175 (unpublished);
    • I. Tupitsyn, arXiv:0804.3175 (unpublished)
    • Tupitsyn, I.1
  • 4
    • 70449535902 scopus 로고    scopus 로고
    • 10.1038/nphys1396
    • C. Gils, Nat. Phys. 5, 834 (2009). 10.1038/nphys1396
    • (2009) Nat. Phys. , vol.5 , pp. 834
    • Gils, C.1
  • 5
    • 0000145935 scopus 로고
    • 10.1142/S0217979290000139
    • X.-G. Wen, Int. J. Mod. Phys. B 4, 239 (1990). 10.1142/S0217979290000139
    • (1990) Int. J. Mod. Phys. B , vol.4 , pp. 239
    • Wen, X.-G.1
  • 8
    • 1842460762 scopus 로고
    • 10.1016/0550-3213(91)90407-O
    • G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991). 10.1016/0550- 3213(91)90407-O
    • (1991) Nucl. Phys. B , vol.360 , pp. 362
    • Moore, G.1    Read, N.2
  • 9
    • 34247899169 scopus 로고    scopus 로고
    • 10.1016/j.aop.2006.08.001;
    • M. Oshikawa, Ann. Phys. (N.Y.) 322, 1477 (2007) 10.1016/j.aop.2006.08.001
    • (2007) Ann. Phys. (N.Y.) , vol.322 , pp. 1477
    • Oshikawa, M.1
  • 10
    • 46949092817 scopus 로고    scopus 로고
    • 10.1088/1751-8113/40/19/001
    • S. B. Chung and M. Stone, J. Phys. A 40, 4923 (2007). 10.1088/1751-8113/40/19/001
    • (2007) J. Phys. A , vol.40 , pp. 4923
    • Chung, S.B.1    Stone, M.2
  • 11
    • 33144477218 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.96.060601;
    • M. Oshikawa and T. Senthil, Phys. Rev. Lett. 96, 060601 (2006) 10.1103/PhysRevLett.96.060601
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 060601
    • Oshikawa, M.1    Senthil, T.2
  • 13
  • 14
    • 33645161396 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.96.110405
    • M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006). 10.1103/PhysRevLett.96.110405
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110405
    • Levin, M.1    Wen, X.-G.2
  • 15
    • 33746922351 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.97.050404
    • E. Fradkin and J. E. Moore, Phys. Rev. Lett. 97, 050404 (2006). 10.1103/PhysRevLett.97.050404
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 050404
    • Fradkin, E.1    Moore, J.E.2
  • 16
    • 36649022667 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.76.184442
    • C. Castelnovo and C. Chamon, Phys. Rev. B 76, 184442 (2007). 10.1103/PhysRevB.76.184442
    • (2007) Phys. Rev. B , vol.76 , pp. 184442
    • Castelnovo, C.1    Chamon, C.2
  • 17
    • 0000049832 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.61.10267
    • N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). 10.1103/PhysRevB.61. 10267
    • (2000) Phys. Rev. B , vol.61 , pp. 10267
    • Read, N.1    Green, D.2
  • 18
    • 37249040018 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.99.247203
    • H. Yao and S. A. Kivelson, Phys. Rev. Lett. 99, 247203 (2007). 10.1103/PhysRevLett.99.247203
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 247203
    • Yao, H.1    Kivelson, S.A.2
  • 20
    • 66049133206 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.102.207203
    • M. Greiter and R. Thomale, Phys. Rev. Lett. 102, 207203 (2009). 10.1103/PhysRevLett.102.207203
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 207203
    • Greiter, M.1    Thomale, R.2
  • 21
    • 40749089576 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.77.064302
    • Z. Nussinov and G. Ortiz, Phys. Rev. B 77, 064302 (2008). 10.1103/PhysRevB.77.064302
    • (2008) Phys. Rev. B , vol.77 , pp. 064302
    • Nussinov, Z.1    Ortiz, G.2
  • 22
    • 30444456387 scopus 로고    scopus 로고
    • 10.1016/j.aop.2005.10.005
    • A. Kitaev, Ann. Phys. (N.Y.) 321, 2 (2006). 10.1016/j.aop.2005.10.005
    • (2006) Ann. Phys. (N.Y.) , vol.321 , pp. 2
    • Kitaev, A.1
  • 23
    • 77954829205 scopus 로고    scopus 로고
    • ′, and the "cut" links, which corresponds to a particular gauge choice here.
    • ′, and the "cut" links, which corresponds to a particular gauge choice here.
  • 25
    • 77954827906 scopus 로고    scopus 로고
    • After gauge fixing, the P̂ expansion of Ref. can be factorized: P̂ = [1+ Πi Di ] Ĝ = [1+ Pf ΠL Δ Φ] Ĝ, where Ĝ = [1+ Σj Dj + Σi
    • After gauge fixing, the P ̂ expansion of Ref. can be factorized: P ̂ = [1 + Π i D i] G ̂ = [1 + P f Π L Δ Φ] G ̂, where G ̂ = [1 + Σ j D j + Σ i < j D i D j +] (note that D i 2 = 1).
  • 26
    • 77954831660 scopus 로고    scopus 로고
    • This global flux operator can also be written in terms of spin variables along the global cycles (Refs.).
    • This global flux operator can also be written in terms of spin variables along the global cycles (Refs.).
  • 27
    • 77954824644 scopus 로고    scopus 로고
    • The exclusion of the (-1,-1 ) state from the ground state for g< gc is tied to the nA statistics of the vortices. A global flux threading Φα is equivalent to the procedure of (i) creating a vortex pair, (ii) transporting one vortex around the loop Γα, and (iii) annihilating the pair (Ref.). The (-1,-1 ) sector is equivalent to two vortex loops linked to each other, which cannot be undone in the nA phase.
    • The exclusion of the (- 1, - 1) state from the ground state for g < g c is tied to the nA statistics of the vortices. A global flux threading Φ α is equivalent to the procedure of (i) creating a vortex pair, (ii) transporting one vortex around the loop Γ α, and (iii) annihilating the pair (Ref.). The (- 1, - 1) sector is equivalent to two vortex loops linked to each other, which cannot be undone in the nA phase.
  • 30
    • 77954832730 scopus 로고    scopus 로고
    • (private communication).
    • Zhenghan Wang (private communication).
    • Wang, Z.1


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