We review the recent advances and current challenges in the field of strong spin-orbit
coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly …

Quantum spin liquids have fascinated condensed matter physicists for decades because of
their unusual properties such as spin fractionalization and long-range entanglement. Unlike …

Understanding topological matter is an outstanding challenge across several disciplines of
physical science. Programmable quantum simulators have emerged as a powerful approach …

We have explored the hidden symmetries of a generic four-parameter nearest-neighbor spin
model, allowed in honeycomb-lattice compounds under trigonal compression. Our method …

We introduce a matrix-product state based method to efficiently obtain dynamical response
functions for two-dimensional microscopic Hamiltonians. We apply this method to different …

The Kitaev model is a fascinating example of an exactly solvable model displaying a spin-
liquid ground state in two dimensions. However, deviations from the original Kitaev model …

Two-dimensional density-matrix renormalization group method is employed to examine the
ground-state phase diagram of the Hubbard model on the triangular lattice at half-filling. The …

Skyrmions are topological magnetic textures that can arise in noncentrosymmetric
ferromagnetic materials. In most systems experimentally investigated to date, skyrmions …

A Kitaev quantum spin liquid is a prime example of novel quantum magnetism of spin-orbit
entangled pseudospin-1/2 moments in a honeycomb lattice. Most candidate materials such …

Fusion surface models, as introduced by Inamura and Ohmori, extend the concept of anyon
chains to 2+ 1 dimensions, taking fusion 2-categories as their input. In this work, we …