THE PINNING OF A DOMAIN-WALL BY WEAKENED BONDS IN 2 DIMENSIONS
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 14:9 (1981) 2431-2440
THE UPPER CRITICAL DIMENSIONALITY OF A CLASS OF STRUCTURAL PHASE-TRANSITIONS
PHYSICS LETTERS A 80:1 (1980) 40-42
CROSSOVER-BEHAVIOR OF THE UNIAXIAL DIPOLAR FERROMAGNET
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS 12:24 (1979) 5545-5550
Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
Phys. Rev. Lett. 112 207203-207203
Abstract:
Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3]. Their detection, however, is fundamentally complicated by the lack of any local order, such as, for example, the magnetisation in a ferromagnet. While there are now several instances of candidate topological spin liquids [4], their identification remains challenging [5]. Here, we provide a complete and exact theoretical study of the dynamical structure factor of a two-dimensional quantum spin liquid in gapless and gapped phases. We show that there are direct signatures - qualitative and quantitative - of the Majorana fermions and gauge fluxes emerging in Kitaev's honeycomb model. These include counterintuitive manifestations of quantum number fractionalisation, such as a neutron scattering response with a gap even in the presence of gapless excitations, and a sharp component despite the fractionalisation of electron spin. Our analysis identifies new varieties of the venerable X-ray edge problem and explores connections to the physics of quantum quenches.Emergent moments and random singlet physics in a Majorana spin liquid
Physical Review Letters American Physical Society