Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-06-09
Phys. Rev. B 59 (1999) 396 - 410
Physics
Condensed Matter
Strongly Correlated Electrons
Revtex, 26 pages including 17 epsf figures; a few minor changes; this is the final published version
Scientific paper
10.1103/PhysRevB.59.396
The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground state magnetization with an external magnetic field for two different antiferromagnetic systems: a three-legged spin-1/2 ladder, and a two-legged spin-1/2 ladder with an additional diagonal interaction. The finite system density-matrix renormalization group method is employed for numerical studies of the three-chain system, and an effective low-energy Hamiltonian is used in the limit of strong interchain coupling to study the two- and three-chain systems. The three-chain system has a magnetization plateau at one-third of the saturation magnetization. The two-chain system has a plateau at zero magnetization due to a gap above the singlet ground state. It also has a plateau at half of the saturation magnetization for a certain range of values of the couplings. We study the regions of transitions between plateaus numerically and analytically, and find that they are described, at first order in a strong-coupling expansion, by an XXZ spin-1/2 chain in a magnetic field; the second order terms give corrections to the XXZ model. We also study numerically some low-temperature properties of the three-chain system, such as the magnetization, magnetic susceptibility and specific heat.
Lal Siddhartha
Pati Swapan K.
Ramasesha S.
Sen Diptiman
Tandon Kunj
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