Lattice Instability in the Spin-Ladder System under Magnetic Field
Naoto Nagaosa, Shuichi Murakami (Dept.of Applied Physics, Univ.of, Tokyo)

TL;DR
This paper investigates how magnetic fields induce lattice instabilities in spin-ladder systems, revealing incommensurate distortions and phase transitions associated with magnetization changes.
Contribution
It provides a theoretical analysis of lattice instability mechanisms in spin-ladder systems under magnetic fields, highlighting differences from Haldane systems.
Findings
Lattice distortion occurs at an incommensurate wavevector related to magnetization
Lattice instability appears only in spin-ladder systems, not in Haldane systems
Magnetization curve exhibits a first order phase transition at low temperatures
Abstract
We study theoretically the lattice instability in the spin gap systems under magnetic field. With the magnetic field larger than a critical value h_{c1}, the spin gap is collapsed and the magnetization arises. We found that the lattice distortion occurs in the spin-ladder at an incommensurate wavevector corresponding to the magnetization, while it does not occur in the Haldane system. At low temperatures the magnetization curve shows a first order phase transition with this lattice distortion.
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