Quantum metamagnetic transitions induced by changes in Fermi-surface topology

Applications to a weak itinerant-electron ferromagnet ZrZn 2

Youhei Yamaji, Takahiro Misawa, Masatoshi Imada

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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 χ -1 has a diverging slope as a function of the magnetization m (namely, |dχ -1/dm| → ∞) 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.

Original languageEnglish
Article number063702
JournalJournal of the Physical Society of Japan
Volume76
Issue number6
DOIs
Publication statusPublished - 2007 Jun 1
Externally publishedYes

Fingerprint

Fermi surfaces
topology
critical point
electrons
critical temperature
divergence
exponents
slopes
magnetic permeability
magnetization
temperature
liquids
gases

Keywords

  • Fermi-surface topology
  • Lifshitz transition
  • Metamagnetic transition
  • ZrZn

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "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 χ -1 has a diverging slope as a function of the magnetization m (namely, |dχ -1/dm| → ∞) 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.",
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N2 - 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 χ -1 has a diverging slope as a function of the magnetization m (namely, |dχ -1/dm| → ∞) 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.

AB - 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 χ -1 has a diverging slope as a function of the magnetization m (namely, |dχ -1/dm| → ∞) 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.

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