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Volumn 86, Issue 9, 2001, Pages 1881-1884

Resonating valence bond phase in the triangular lattice quantum dimer model

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHEMICAL BONDS; COMPUTER SIMULATION; CRYSTAL LATTICES; FUNCTION EVALUATION; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE TRANSITIONS; QUANTUM THEORY;

EID: 17144436460     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1881     Document Type: Article
Times cited : (862)

References (30)
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    • (1973) Mater. Res. Bull. , vol.8 , pp. 153
    • Anderson, P.W.1
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    • G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); P. A. Lee, Physica (Amsterdam) 317-318C, 194 (1999), and references therein.
    • (1988) Phys. Rev. B , vol.37 , pp. 580
    • Baskaran, G.1    Anderson, P.W.2
  • 6
    • 0001136860 scopus 로고    scopus 로고
    • Amsterdam
    • G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); P. A. Lee, Physica (Amsterdam) 317-318C, 194 (1999), and references therein.
    • (1999) Physica , vol.317-318 C , pp. 194
    • Lee, P.A.1
  • 9
  • 10
    • 14344282487 scopus 로고    scopus 로고
    • unpublished
    • See, e.g., E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Redwood City, CA, 1991). A more complete treatment is C. L. Henley (unpublished).
    • Henley, C.L.1
  • 11
    • 4243780937 scopus 로고
    • F. D. M. Haldane, Phys. Rev. Lett. 61, 1029 (1988); N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1029
    • Haldane, F.D.M.1
  • 12
    • 33744631045 scopus 로고
    • F. D. M. Haldane, Phys. Rev. Lett. 61, 1029 (1988); N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1694
    • Read, N.1    Sachdev, S.2
  • 18
    • 33847600526 scopus 로고    scopus 로고
    • T. Senthil and M. P. A. Fisher, cond-mat/9912380
    • T. Senthil and M. P. A. Fisher, cond-mat/9912380.
  • 22
    • 36749117241 scopus 로고
    • N.Y.
    • See, e.g., S. Samuel, J. Math. Phys. (N.Y.) 21, 2806 (1980). Our results for the triangular lattice have not, to our knowledge, appeared previously in the literature; we expect to report more details elsewhere.
    • (1980) J. Math. Phys. , vol.21 , pp. 2806
    • Samuel, S.1
  • 23
    • 14344281326 scopus 로고    scopus 로고
    • note
    • Gaplessness on the square lattice relies on two ingredients in a single-mode calculation: a conservation law, which is present in our case too, for the Hamiltonian only creates and destroys pairs of parallel neighboring dimers and that the conserved quantity, defined in Fig. 2, has an extensive expectation value in a ground state. The conserved quantity is always subextensive on the triangular lattice, at most O(L), and the resonons are gapped.
  • 24
    • 14344268484 scopus 로고    scopus 로고
    • note
    • The corresponding gap in the square lattice staggered phase is O(L), which therefore has no local excitations in the thermodynamic limit.
  • 25
    • 14344268864 scopus 로고    scopus 로고
    • note
    • There are similar mappings for the square and hexagonal lattice dimer models [9].
  • 27
    • 14344269260 scopus 로고    scopus 로고
    • note
    • This is also true at the RK point on the square lattice and is implicit in the results of [6] - note the remarkable feature that raising the temperature confines the spinons. Elsewhere in the square lattice phase diagram, the spinons are confined.
  • 30
    • 33847598439 scopus 로고    scopus 로고
    • R. Coldea et al., cond-mat/0007172
    • R. Coldea et al., cond-mat/0007172.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.