Gapless Phase in the XYZ Spin-1/2 Chain in a Magnetic Field and the Quantum ANNNI Chain

Details Gapless Phase in the XYZ Spin-1/2 Chain in a Magnetic Field and the Quantum ANNNI Chain Gapless Phase in the XYZ Spin-1/2 Chain in a Magnetic Field and the Quantum ANNNI Chain

2002-08-12

arxiv.org/abs/cond-mat/0208216v1

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex, 5 pages including 1 eps figure

Scientific paper

We study the XYZ spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value of the XY anisotropy a and the magnetic field h. Hence, there is a line of critical points in the plane (a,h) on which the system is gapless, even though the Hamiltonian has no continuous symmetry. The quantum critical line separates a gapped commensurate phase from a gapped incommensurate phase. Our study explains why the floating phase of the axial next-nearest neighbor Ising (ANNNI) chain in a transverse magnetic field is only a line, as shown by recent numerical studies.

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