Can I read Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice on EtoBox?

Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice by Schmoll, Philipp; Kshetrimayum, Augustine; Naumann, Jan; Eisert, Jens; Iqbal, Yasir is a scholarly article available to read on EtoBox.

What is Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice about?

We investigate the ground state of the spin $S=1/2$ Heisenberg anti-ferromagnet on the Shuriken lattice, also in the presence of an external magnetic field. To this end, we employ two-dimensional tensor network techniques based on infinite projected entangled pair and simplex states considering states with different sizes of the unit cells. We show that a valence bond crystal with resonances over length six loops emerges as the ground state (at any given finite bond dimension) yielding the lowest reported estimate of the ground state energy $E_0/J = -0.4410 \pm 0.0001$ for this model, estimated in the thermodynamic limit. We also study the model in the presence of an external magnetic field and find the emergence of $0$, $1/3$ and $2/3$ magnetization plateaus with states respecting translation and point group symmetries that feature loop-four plaquette resonances instead.

Author

Schmoll, Philipp; Kshetrimayum, Augustine; Naumann, Jan; Eisert, Jens; Iqbal, Yasir

Published

2022

Language

EN