Complex Magnetic Order in the Kagome Staircase Compound Co3V2O8

Co3V2O8 (CVO) has a new type of geometrically frustrated magnetic lattice, a Kagome staircase, where the full frustration of a conventional Kagome lattice is partially relieved. The crystal structure consists of two inequivalent (magnetic) Co sites, one-dimensional chain of Co(2) spine sites, linked by Co(1) cross-tie sites. Neutron powder diffraction has been used to solve the basic magnetic and crystal structures of this system, while polarized and unpolarized single crystal diffaction measurements have been used to reveal a rich variety of incommensurate phases, interspersed with lock-in transitions to commensurate phases. CVO initially orders magnetically at 11.3 K into an incommensurate, transversely polarized, spin density wave state, with wave vector k = (0,delta,0) with delta = 0.55 and the spin direction along the a axis. Delta is found to decrease monotonically with decreasing temperature, and then it locks into a commensurate antiferromagnetic structure with delta = 1/2 for 6.9 T 8.6 K. In this phase there is a ferromagnetic layer where the spine- site and cross-tie sites have ordered moments of 1.39 muB and 1.17 muB, respectively, and an antiferromagnetic layer where the spine site has an ordered moment of 2.55 muB, while the cross-tie sites are fully frustrated and have no observable ordered moment. Below 6.9 K the magnetic structure becomes incommensurate again, and the presence of higher-order satellite peaks indicates that the magnetic structure deviates from a simple sinusoid. Delta continues to decrease with decreasing temperature, and locks-in again at delta = 1/3 over a narrow temperature range (6.2 6.5 K). The system then undergoes a strongly first order transition to the ferromagnetic ground state (delta = 0) at Tc = 6.2 K. The ferromagnetism relieves the remaining magnetic frustration, with ordered moments on the spine-site and cross- tie sites of 2.73 muB and 1.54 muB, respectively. The spin direction for all spins is along the a axis (Ising-like behavior). A dielectric anomaly is observed around the ferromagnetic transition temperature of 6.2 K, demonstrating that there is significant spin-charge coupling present in CVO. A theory based on group theory analysis and a minimal Ising model with competing exchange interactions can explain the basic features of the magnetic ordering.