Ehrenfest relations and magnetoelastic effects in field-induced ordered phases

Abstract

Magnetoelastic properties in field-induced magnetic ordered phases are studied theoretically based on a Ginzburg-Landau theory. A critical field for the field-induced ordered phase is obtained as a function of temperature and pressure, which determine the phase diagram. It is found that magnetic field dependence of elastic constant decreases discontinuously at the critical field, Hc, and that it decreases linearly with field in the ordered phase (H>Hc). We found an Ehrenfest relation between the field dependence of the elastic constant and the pressure dependence of critical field. Our theory provides the theoretical form for magnetoelastic properties in field- and pressure-induced ordered phases.

7 pages, 3 figures

References in corpus (13)

• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
• Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of TlCuCl3
• Observation of Field-Induced Transverse Néel Ordering in the Spin Gap System TlCuCl${}_3$
• Universal scaling at field-induced magnetic phase transitions
• Bose-Einstein Condensation of Magnons in TlCuCl3: Phase diagram and specific heat from a self-consistent Hartee-Fock calculation with a realistic dispersion relation
• Specific Heat Study of the Field-Induced Magnetic Ordering in the Spin Gap System TlCuCl${}_3$
• Sound attenuation on the Bose-Einstein condensation of magnons in TlCuCl_3
• Neutron Diffraction Study of the Pressure-Induced Magnetic Ordering in the Spin Gap System TlCuCl${}_3$
• Pressure-Induced Magnetic Quantum Phase Transitions from Gapped Ground State in TlCuCl3
• Field-Induced Magnetic Order and Simultaneous Lattice Deformation in TlCuCl3
• Quantum Critical Point of the XY Model and Condensation of Field-Induced Quasiparticles in Dimer Compounds
• Microscopic model for the magnetization plateaus in NH4CuCl3

Cited by in corpus (7)

• Bose-Einstein Condensation in Magnetic Insulators
• U(1)-Symmetry breaking and violation of axial symmetry in TlCuCl3 and other insulating spin systems
• Thermodynamic model of a solid with RKKY interaction and magnetoelastic coupling
• Field-induced level crossings in spin clusters: Thermodynamics and magneto-elastic instability
• Self-consistent model of a solid for the description of lattice and magnetic properties
• Magnetostriction in an array of spin chains under magnetic field
• Field-induced electric polarization and elastic softening caused by parity-mixed $d$-$p$ hybridized states with electric multipoles in Ba${}_2$CuGe${}_2$O${}_7$