Ladders in a magnetic field: a strong coupling approach

Details Ladders in a magnetic field: a strong coupling approach Ladders in a magnetic field: a strong coupling approach

1998-05-04

arxiv.org/abs/cond-mat/9805029v2

Physics

Condensed Matter

Strongly Correlated Electrons

One mistake corrected, one reference added

Scientific paper

10.1007/s100510050542

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.

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