Magnetic Phases of the 2D Hubbard Model at Low Doping

Abstract

We study the equilibrium spin configuration of the 2D Hubbard model at low doping, when a long-range magnetic order is still present. We use the spin-density-wave formalism and examine the two suggested candidates for a ground state: the planar spiral $(\pi ,Q)$ and $(Q,Q)$ states. In a mean-field theory, each of these two states is a ground state in a certain range of parameters. We however show that both states have negative bosonic modes in a transverse channel which implies that the spiral states are in fact unstable (the $(Q,Q)$ state, in addition, has a negative longitudinal stiffness). We searched for a ground state in a parameter range which on a mean-field level favored the $(\pi ,Q)$ phase, and found that the equilibrium spin configuration is noncoplanar. These findings lead to a novel scenario of spin reorientation upon doping in Hubbard antiferromagnets.

31 page, REVtex file, 5 figures in a uuencoded, gziped file. Figures are also available upon request.

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• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
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