Low-Lying Energy Properties of a Frustrated Antiferromagnetic Spin-$\frac 1 2$ Ladder

Details Low-Lying Energy Properties of a Frustrated Antiferromagnetic Spin-$\frac 1 2$ Ladder Low-Lying Energy Properties of a Frustrated Antiferromagnetic Spin-$\frac 1 2$ Ladder

1998-03-24

arxiv.org/abs/cond-mat/9803290v1

Modern. Phys. Lett. B, 14 2000327

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 6 figures, Revtex

Scientific paper

Using the Density Matrix Renormalization Group method, we determined the phase diagram of a frustrated antiferromagnetic spin-$\frac 1 2$ ladder at zero temperature. Two spin-gapped phases, the Haldane phase and the singlet phase, are identified. A phase transition between the two phases occurs at any non-zero value of frustration coupling $J_{\times}$. On the phase boundary, the spin gap vanishes for sufficiently small $J_{\times}$. Crossing this non-gapped line, the transition is of second order, while of first order for larger $J_{\times}$. Striking frustration effects are predicted for ladder materials.

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