Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-06-18
Phys.Rev.B 68, 214406 (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, 6 figures
Scientific paper
10.1103/PhysRevB.68.214406
We have studied the antiferromagnetic Ising chain in a transverse magnetic field $h_{x}$ and uniform longitudinal field $h_{z}$. Using the density matrix renormalization group calculation combined with a finite-size scaling the ground state phase diagram in ($h_{x},h_{z}$) plane is determined. It is shown that there is an order-disordered transition line in this plane and the critical properties belong to the universality class of the two-dimensional Ising model. Based on the perturbation theory in $h_{z}$ the scaling behavior of the mass gap in the vicinity of the critical point ($h_{x}=1/2,h_{z}=0$) is established. It is found that the form of the transition line near the classical multicritical point ($h_{x}=0,h_{z}=1$) is linear. The connection of the considered quantum model with the quasi-one-dimensional classical Ising model in the magnetic field is discussed.
Cheranovskii V. O.
Dmitriev D. V.
Krivnov Ya. V.
Ovchinnikov Alexey
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