Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-08-05
J. Phys.: Condens. Matter 16 (2004) S673
Physics
Condensed Matter
Statistical Mechanics
Latex2e,6 pages, IOP format, introduction shortened and other minor corrections, replaced with published version in the Procee
Scientific paper
10.1088/0953-8984/16/11/014
The pyrochlore antiferromagnet Tb2Ti2O7 has proven to be an enigma to experimentalists and theorists working on frustrated magnetic systems. The experimentally determined energy level structure suggests a local <111> Ising antiferromagnet at low temperatures, T < 10 K. An appropriate model then predicts a long-range ordered Q = 0 state below approximately 2 K. However, muon spin resonance experiments reveal a paramagnetic structure down to tens of milli-Kelvin. The importance of fluctuations out of the ground state effective Ising doublet has been recently understood, for the measured paramagnetic correlations can not be described without including the higher crystal field states. However, these fluctuations treated within the random phase approximation (RPA) fail to account for the lack of ordering in this system below 2 K. In this work, we briefly review the experimental evidence for the collective paramagnetic state of Tb2Ti2O7. The basic theoretical picture for this system is discussed, where results from classical spin models are used to motivate the investigation of quantum effects to lowest order via the RPA. Avenues for future experimental and theoretical work on Tb2Ti2O7 are presented.
Enjalran Matthew
Gingras Michel J. -P.
Kao Ying-Jer
Maestro Adrian Del
Molavian Hamid R.
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