46 citations · 264 across the 26 of their papers we have counts for
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Bilinear-biquadratic spin-1 model in the Haldane and dimerized phases
Mykhailo V. Rakov, Michael Weyrauch
We study the low-lying spectrum of the bilinear-biquadratic Heisenberg model in the dimerized and Haldane phases using a tensor renormalization method. At the (Takhtajan-Babujian)…
Luttinger liquid parameters from tensor network data
Michael Weyrauch, Mykhailo V. Rakov
We study the XXZ Heisenberg model in a staggered magnetic field using the HOTRG tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) sym…
Spin-1/2 XXZ Heisenberg chain in a longitudinal magnetic field
Mykhailo V. Rakov, Michael Weyrauch
We study the XXZ Heisenberg model in a longitudinal magnetic field using a tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) symmetry…
Dimerization in ultracold spinor gases with Zeeman splitting
Michael Weyrauch, Mykhailo V. Rakov
Two recent publications report different boundaries for the dimerized phase of the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman effect. We address these discr…
Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions
Mykhailo V. Rakov, Michael Weyrauch
An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum…
The large system asymptotics of persistent currents in mesoscopic quantum rings
A. Gendiar, R. Krcmar, M. Weyrauch
We consider a one-dimensional mesoscopic quantum ring filled with spinless electrons and threaded by a magnetic flux, which carries a persistent current at zero temperature. The in…