Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-03-16
J. Phys. Soc. Jpn. 76 (2007) 063702
Physics
Condensed Matter
Other Condensed Matter
5pages,4figures
Scientific paper
10.1143/JPSJ.76.063702
We clarify that metamagnetic transitions in three dimensions show unusual properties as quantum phase transitions if they are accompanied by changes in Fermi-surface topology. An unconventional universality deeply affected by the topological nature of Lifshitz-type transitions emerges around the marginal quantum critical point (MQCP). Here the MQCP is defined by the meeting point of the finite temperature critical line and a quantum critical line running on the zero temperature plane. The MQCP offers a marked contrast with the Ising universality and the gas-liquid-type criticality satisfied for conventional metamagnetic transitions. At the MQCP, the inverse magnetic susceptibility chi^-1 has diverging slope as a function of the magnetization m (namely, | d chi^-1/d m | -> infty) in one side of the transition, which should not occur in any conventional quantum critical phenomena. The exponent of the divergence can be estimated even at finite temperatures. We propose that such an unconventional universality indeed accounts for the metamagnetic transition in ZrZn_2.
Imada Masatoshi
Misawa Takahiro
Yamaji Youhei
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