Identifying Topological Quantum Spin Liquid in Physical Realistic Models

L. Savary

The search for truly quantum phases of matter is a center piece of modern research in condensed matter physics. Quantum spin liquids, which host large amounts of entanglement-an entirely quantum feature where one part of a system cannot be measured without modifying the rest-are exemplars of such phases. Here, we devise a realistic model which relies upon the well-known Haldane chain phase, i.e. the phase of spin-1 chains which host fractional excitations at their ends, akin to the hallmark excitations of quantum spin liquids. We tune our model to exactly soluble points, and find that the ground state realizes Haldane chains whose physical supports fluctuate, realizing both quantum spin liquid like and symmetry-protected topological phases. Crucially, this model is expected to describe actual materials, and we provide a detailed set of material-specific constraints which may be readily used for an experimental realization.

Antônio Sérgio Teixeira Pires

L. Savary

Abstract The search for truly quantum phases of matter is a center piece of modern research in condensed matter physics. Quantum spin liquids, which host large amounts of entanglement—an entirely quantum feature where one part of a system cannot be measured without modifying the rest—are exemplars of such phases. Here, we devise a realistic model which relies upon the well-known Haldane chain phase, i.e. the phase of spin-1 chains which host fractional excitations at their ends, akin to the hallmark excitations of quantum spin liquids. We tune our model to exactly soluble points, and find that the ground state realizes Haldane chains whose physical supports fluctuate, realizing both quantum spin liquid like and symmetry-protected topological phases. Crucially, this model is expected to describe actual materials, and we provide a detailed set of material-specific constraints which may be readily used for an experimental realization.

Oleg Tchernyshyov, Haoyu Wang, Yuan Wan

Ara Go, Kyusung Hwang, Beom Hyun Kim +2 more

Wei Kang Zhu, Shou-Shu Gong, D. N. Sheng

Abstract This review synthesizes recent developments in identifying emergent quantum spin liquids in the Heisenberg model on the kagome lattice. We review a subset of progresses on the discovery of the gapped chiral spin liquid and the gapless Dirac spin liquid. We discuss several powerful numerical techniques for directly dissecting the topological order of quantum spin liquids, including entanglement measures and adiabatic topological pumping to overcome traditional limitations of calculations.