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 language | English |
|---|---|
| Article number | 063702 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 76 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2007 Jun 1 |
| Externally published | Yes |
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Keywords
- Fermi-surface topology
- Lifshitz transition
- Metamagnetic transition
- ZrZn
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Quantum metamagnetic transitions induced by changes in Fermi-surface topology : Applications to a weak itinerant-electron ferromagnet ZrZn 2. / Yamaji, Youhei; Misawa, Takahiro; Imada, Masatoshi.
In: Journal of the Physical Society of Japan, Vol. 76, No. 6, 063702, 01.06.2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum metamagnetic transitions induced by changes in Fermi-surface topology
T2 - Applications to a weak itinerant-electron ferromagnet ZrZn 2
AU - Yamaji, Youhei
AU - Misawa, Takahiro
AU - Imada, Masatoshi
PY - 2007/6/1
Y1 - 2007/6/1
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.
KW - Fermi-surface topology
KW - Lifshitz transition
KW - Metamagnetic transition
KW - ZrZn
UR - http://www.scopus.com/inward/record.url?scp=34547410489&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547410489&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.76.063702
DO - 10.1143/JPSJ.76.063702
M3 - Article
AN - SCOPUS:34547410489
VL - 76
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 6
M1 - 063702
ER -