Ladders in a magnetic field: a strong coupling approach |
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Authors: | F Mila |
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Institution: | (1) Laboratoire de Physique Quantique, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France, FR |
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Abstract: | We show that non-frustrated and frustrated ladders in a magnetic field can be systematically mapped onto an XXZ Heisenberg model in a longitudinal magnetic field in the limit where the rung coupling is the dominant one. This mapping
is valid in the critical region where the magnetization goes from zero to saturation. It allows one to relate the properties
of the critical phase (H
c
1, H
c
2, the critical exponents) to the exchange integrals and provide quantitative estimates of the frustration needed to create
a plateau at half the saturation value for different models of frustration.
Received: 7 May 1998 / Revised and Accepted: 10 July 1998 |
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Keywords: | PACS 75 10 Jm Quantized spin models - 75 40 Cx Static properties (order parameter static susceptibility heat capacities critical exponents etc ) - 75 50 Ee Antiferromagnetics |
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