The field-induced magnetic ordering transition in TlCuCl${}_3$

Abstract

In the first part we investigate in detail if the Bose-Einstein condensation scenario for magnons can quantitatively explain the observed field-induced magnetic ordering in TlCuCl${}_3$. We use a bond-operator approach to map the spin system onto hard-core bosons and exactly account for the hard-core constraint in the dilute limit. We solve the hard-core model within the Hartree-Fock-Popov approximation and discuss its validity and the consequences of this approximation for the critical properties. In the second part the effects of spin-phonon and spin-orbit coupling are discussed within this framework. We show that the experimental magnetization and specific heat data are well described if a certain type of anisotropy is included. We also present predictions for the quasiparticle gap which might be tested in the future.

6 pages, 7 figures

References in corpus (6)

• Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
• Spin-resonance modes of the spin-gap magnet TlCuCl_3
• Bose-Einstein Condensation of Magnons in TlCuCl3: Phase diagram and specific heat from a self-consistent Hartee-Fock calculation with a realistic dispersion relation
• Sound attenuation on the Bose-Einstein condensation of magnons in TlCuCl_3
• Consequences of spin-orbit coupling for the Bose-Einstein condensation of magnons
• Bose-Einstein condensation of magnons in TlCuCl${}_3$

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