7 papers · 1 filter
Quasiparticles in the XXZ model
Ping Lu, Gerhard Muller, Michael Karbach
The coordinate Bethe ansatz solutions of the XXZ model for a one-dimensional spin-1/2 chain are analyzed with focus on the statistical properties of the constituent quasiparticles.…
Interaction and thermodynamics of spinons in the XX chain
Michael Karbach, Gerhard Muller, Klaus Wiele
The mapping between the fermion and spinon compositions of eigenstates in the one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe the spinon interaction…
Spinon excitations in the XX chain: spectra, transition rates, observability
Mitsuhiro Arikawa, Michael Karbach, Gerhard Muller +1
The exact one-to-one mapping between (spinless) Jordan-Wigner lattice fermions and (spin-1/2) spinons is established for all eigenstates of the one-dimensional s = 1=2 XX model on…
Spectrum and transition rates of the XX chain analyzed via Bethe ansatz
Daniel Biegel, Michael Karbach, Gerhard Muller +1
As part of a study that investigates the dynamics of the s=1/2 XXZ model in the planar regime |Delta|<1, we discuss the singular nature of the Bethe ansatz equations for the case D…
Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
Daniel Biegel, Michael Karbach, Gerhard Mueller
A novel determinantal representation for matrix elements of local spin operators between Bethe wave functions of the one-dimensional s=1/2 XXZ model is used to calculate transition…
Computational probes of collective excitations in low-dimensional magnetism
Gerhard Muller, Michael Karbach
The investigation of the dynamics of quantum many-body systems is a concerted effort involving computational studies of mathematical models and experimental studies of material sam…