Susceptibility at the edge points of magnetization plateau of 1D electron/spin systems

Abstract

We study the behavior of magnetization curve as a function of magnetic field in the immediate vicinity of the magnetization plateaus of 1D electron systems within the bosonization formalism. First we discuss the plateau that is formed at the saturation magnetization of 1D electron system. Interactions between electrons we treat in the lowest order of perturbation. We show that for isolated systems, where total number of electrons is not allowed to vary, magnetic susceptibility stays always finite away of half filling. Similar statement holds for many other magnetization plateaus supporting nonmagnetic gapless excitations encountered in 1D electron/spin systems in the absence of special symmetries or features responsible for the mode decoupling. We demonstrate it on example of the plateaus at irrational values of magnetization in doped modulated Hubbard chains. Finally we discuss the connection between the weak coupling description of saturation magnetization plateau and strong coupling description of zero magnetization plateau of attractively interacting electrons/ antiferromagnetically interacting spin 1 Bosons.

10 pages, 3 figures. To appear in Phys. Rev. B

References in corpus (4)

• Paired state in an integrable spin-1 boson model
• On the spin-liquid phase of one dimensional spin-1 bosons
• The Mott metal-insulator transition in the 1D Hubbard model in an external magnetic field
• Quantum phase transitions in trimerized zig-zag spin ladders

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• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• Fermi surface as a quantum critical manifold: gaplessness, order parameter, and scaling in $d$-dimensions