Spectral function of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math> Heisenberg model on the triangular lattice
Nicholas E. Sherman, Maxime Dupont, Joel E. Moore
Abstract
Triangular lattice compounds have received extensive attention recently as quantum spin liquid candidates. Here, the authors look at the ${J}_{1}$-${J}_{2}$ Heisenberg model on the triangular lattice, and calculate the spectral function relevant for neutron scattering experiments. They find a high-energy spectrum consistent with reports of a spinon Fermi surface state in triangular lattice compounds, although the low-energy spectrum rules out such a phase, and points towards a U(1) Dirac spin liquid. They provide clear signatures to look for in future neutron scattering experiments to distinguish these two phases.
Topics & Concepts
PhysicsHexagonal latticeNeutron scatteringLattice (music)ScatteringSpinonCondensed matter physicsQuantum mechanicsQuantumAntiferromagnetismAcousticsAdvanced Condensed Matter PhysicsQuantum many-body systemsPhysics of Superconductivity and Magnetism