TY - JOUR
T1 - Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model
AU - Murashima, Takahiro
AU - Nomura, Kiyohide
PY - 2006
Y1 - 2006
N2 - Commensurate-incommensurate change on the one-dimensional S=1 bilinear-biquadratic model [H (α) = Σi { Si · Si+1 +α (Si · Si+1) 2 }] is examined. The gapped Haldane phase has two subphases (the commensurate Haldane subphase and the incommensurate Haldane subphase) and the commensurate-incommensurate change point (the Affleck-Kennedy-Lieb-Tasaki point, α=1/3). There have been two different analytical predictions about the static structure factor in the neighborhood of this point. By using the Sørensen-Affleck prescription, these static structure factors are related to the Green functions, and also to the energy gap behaviors. Numerical calculations support one of the predictions. Accordingly, the commensurate-incommensurate change is recognized as a motion of a pair of poles in the complex plane.
AB - Commensurate-incommensurate change on the one-dimensional S=1 bilinear-biquadratic model [H (α) = Σi { Si · Si+1 +α (Si · Si+1) 2 }] is examined. The gapped Haldane phase has two subphases (the commensurate Haldane subphase and the incommensurate Haldane subphase) and the commensurate-incommensurate change point (the Affleck-Kennedy-Lieb-Tasaki point, α=1/3). There have been two different analytical predictions about the static structure factor in the neighborhood of this point. By using the Sørensen-Affleck prescription, these static structure factors are related to the Green functions, and also to the energy gap behaviors. Numerical calculations support one of the predictions. Accordingly, the commensurate-incommensurate change is recognized as a motion of a pair of poles in the complex plane.
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U2 - 10.1103/PhysRevB.73.214431
DO - 10.1103/PhysRevB.73.214431
M3 - Article
AN - SCOPUS:33745126235
VL - 73
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 0163-1829
IS - 21
M1 - 214431
ER -