Compass models are theories of matter in which the couplings between the internal spin (or
other relevant field) components are inherently spatially (typically, direction) dependent. A …

The concept of spin–orbital entanglement on superexchange bonds in transition metal
oxides is introduced and explained on several examples. It is shown that spin–orbital …

We derive exact results for the Lindblad equation for a quantum spin chain (one-
dimensional quantum compass model) with dephasing noise. The system possesses doubly …

We present an algebraic methodology for designing exactly solvable Lie model
Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We …

Recent advances in the study of cobaltites have unveiled their potential as a promising
platform for realizing Kitaev physics in honeycomb systems and the Ising model in weakly …

We study the phase diagram of a one-dimensional version of the Kitaev spin-1/2 model with
an extra “Γ term,” using analytical, density matrix renormalization group and exact …

One-dimensional gapped phases that avoid any symmetry breaking have drawn enduring
attention. In this paper, we study such phases in a bond-alternating spin-1 K-Γ chain built of …

We calculate the dynamical spin structure factor of the generalized spin-1/2 compass spin
chain using the density matrix renormalization group. The model, also known as the twisted …

We investigate the anisotropic quantum orbital compass model on an infinite square lattice
by means of the infinite projected entangled-pair state algorithm. For varying values of the J …

The key to unraveling intriguing phenomena observed in various Kitaev materials lies in
understanding the interplay of Kitaev (K) interaction and a symmetric off-diagonal Γ …