Interplay between field-induced and frustration-induced quantum criticalities in the frustrated two-leg Heisenberg ladder

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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9 pages, 8 figures, submitted to the Canadian Journal of Physics

Scientific paper

10.1139/P08-050

The antiferromagnetic Heisenberg two-leg ladder in the presence of frustration and an external magnetic field is a system that is characterized by two sorts of quantum criticalities, not only one. One criticality is the consequence of intrinsic frustration, and the other one is a result of the external magnetic field. So the behaviour of each of them in the presence of the other deserves to be studied. Using the Jordan-Wigner transformation in dimensions higher than one and bond-mean-field theory we examine the interplay between the field-induced and frustration-induced quantum criticalities in this system. The present work could constitute a prototype for those systems showing multiple, perhaps sometimes competing, quantum criticalities. We calculate several physical quantities like the magnetization and spin susceptibility as functions of field and temperature.

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