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Heisenberg-Kitaev model in a magnetic field: 1/S expansion

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Author(s):
Consoli, Pedro M. ; Janssen, Lukas ; Vojta, Matthias ; Andrade, Eric C.
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW B; v. 102, n. 15, p. 21-pg., 2020-10-22.
Abstract

The exact solution of Kitaev's spin-1/2 honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which Na2IrO3 and alpha-RuCl3 are prime examples. Subsequently, it has been proposed that also spin-1 and spin-3/2 analogs of Kitaev interactions may occur in materials with strong spin-orbit coupling. As a minimal model to describe these Kitaev materials, we study the Heisenberg-Kitaev Hamiltonian in a consistent 1/S expansion, with S being the spin size. We present a comprehensive study of this model in the presence of an external magnetic field applied along two different directions, [001] and [111], for which an intricate classical phase diagram has been reported. In both settings, we employ spin-wave theory in a number of ordered phases to compute phase boundaries at the next-to-leading order in 1/S and show that quantum corrections substantially modify the classical phase diagram. More broadly, our work presents a consistent route to investigate the leading quantum corrections in spin models that break spin-rotational symmetry. (AU)

FAPESP's process: 19/02099-0 - Melting the vortex crystal in the Heisenberg-Kitaev model in a magnetic field
Grantee:Pedro Monteiro Cônsoli
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 19/17026-9 - Frustrated magnets: anisotropy and and inhomogeneities
Grantee:Eric de Castro e Andrade
Support Opportunities: Regular Research Grants
FAPESP's process: 17/22133-3 - Melting the vortex crystal in the Heisenberg-Kitaev model in a magnetic field
Grantee:Pedro Monteiro Cônsoli
Support Opportunities: Scholarships in Brazil - Master