Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2010-06-14
Prog. Theor. Phys. 124 (2010), 389-398
Physics
Condensed Matter
Other Condensed Matter
9 pages, 5 figures
Scientific paper
10.1143/PTP.124.389
We introduce a one-parameter deformation for one-dimensional (1D) quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh lambda j at the j-th site. Corresponding to a 2D classical system, the deformation does not strongly modify the ground state. In this situation, the effective Hamiltonian of the quantum system shows that the quasi particle is weakly bounded around the center of the system. By analyzing this binding effect, we derive scaling relations for the mean-square width
Kusakabe Koichi
Nakano Hiroki
Nishino Tomotoshi
Ueda Hiroshi
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