Dimer and trimer fluctuations in the s=1/2 transverse XX chain

Abstract

Exact results for the dynamic dimer and trimer structure factors of the one-dimensional s=1/2 XX model in a transverse magnetic field ($\parallel z$) are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations whereas that of the trimer fluctuation operator involves two-fermion and four-fermion excitations. The spectral boundaries, soft modes, and singularity structure of the four-fermion excitation continuum as probed by the dynamic trimer structure factor are examined and compared with corresponding properties of the two-fermion excitation continuum, as probed by the dynamic dimer and transverse spin structure factors.

13 pages, 12 figures

References in corpus (3)

• Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
• Boundaries, Cusps and Caustics in the Multimagnon Continua of 1D Quantum Spin Systems
• Spectrum and transition rates of the XX chain analyzed via Bethe ansatz

Cited by in corpus (5)

• Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction
• Dynamic properties of the spin-1/2 XY chain with three-site interactions
• Spinon excitations in the XX chain: spectra, transition rates, observability
• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• Dynamics of quantum spin chains and multi-fermion excitation continua