Instabilities in Luttinger liquids

Abstract

We discuss the appearance of magnetic and charge instabilities, named respectively metamagnetism (MM) and phase separation (PS), in systems which can be described by a perturbed Luttinger liquid. We argue that such instabilities can be associated with the vanishing of the effective Fermi velocity v, which in some cases coincides with a divergence of the effective Luttinger parameter K. We analyze in particular an XXZ chain with next-nearest-neighbor interactions in different limits where MM shows up and an extended Hubbard model where in turn, PS occurs. Qualitative agreement with previous studies is found.

7 pages, 3 figures

References in corpus (3)

• Colossal Magnetoresistant Materials: The Key Role of Phase Separation
• Phase diagram of the XXZ chain with next-nearest-neighbor interactions
• Decoupling of the S=1/2 antiferromagnetic zig-zag ladder with anisotropy

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