Spin fluctuation theory for quantum tricritical point arising in proximity to first-order phase transitions

Applications to heavy-fermion systems, YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAIB 4

Takahiro Misawa, Youhei Yamaji, Masatoshi Imada

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where a first-order phase transition changes into a continuous transition at zero temperature. Under magnetic fields, ferromagnetic quantum critical fluctuations develop around the antiferromagnetic QTCP in addition to antiferromagnetic fluctuations, which is in sharp contrast with the conventional antiferromagnetic quantum critical point. For itinerant electron systems, we show that the temperature dependence of critical magnetic fluctuations around the QTCP is given as χ q T -3/20 T -3/4 ) at the antiferromagnetic ordering (ferromagnetic) wave number q = Q (q = 0). The convex temperature dependence of χ 0-1 is a characteristic feature of the QTCP, which has never been seen in the conventional spin fluctuation theory. We propose a general theory of quantum tricriticality that has nothing to do with the specific Kondo physics itself, and solves puzzles of quantum criticalities widely observed in heavyfermion systems such as YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAlB 4 . For YbRh 2 Si 2 , our theory successfully reproduces quantitative behaviors of the experimentally obtained ferromagnetic susceptibility and magnetization curve when suitable phenomenological parameters are chosen. The quantum tricriticality is also consistent with singularities of other physical properties such as specific heat, nuclear magnetic relaxation time 1/T 1 T, and the Hall coefficient. For CeRu 2 Si 2 and β-YbAlB 4 , we point out that the quantum tricriticality is a possible origin of the anomalous diverging enhancement of the uniform susceptibility observed in these materials.

Original languageEnglish
Article number084707
JournalJournal of the Physical Society of Japan
Volume78
Issue number8
DOIs
Publication statusPublished - 2009 Aug 1
Externally publishedYes

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heavy fermion systems
fluctuation theory
proximity
magnetic permeability
temperature dependence
magnetic relaxation
Hall effect
critical point
physical properties
relaxation time
specific heat
magnetization
physics
augmentation
curves
magnetic fields
electrons
temperature

Keywords

  • Heavy-fermion systems
  • Quantum critical phenomena
  • Quantum tricritical point
  • Self-consistent renormalization theory
  • Tricritical point

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Spin fluctuation theory for quantum tricritical point arising in proximity to first-order phase transitions: Applications to heavy-fermion systems, YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAIB 4",
abstract = "We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where a first-order phase transition changes into a continuous transition at zero temperature. Under magnetic fields, ferromagnetic quantum critical fluctuations develop around the antiferromagnetic QTCP in addition to antiferromagnetic fluctuations, which is in sharp contrast with the conventional antiferromagnetic quantum critical point. For itinerant electron systems, we show that the temperature dependence of critical magnetic fluctuations around the QTCP is given as χ q T -3/2 (χ 0 T -3/4 ) at the antiferromagnetic ordering (ferromagnetic) wave number q = Q (q = 0). The convex temperature dependence of χ 0-1 is a characteristic feature of the QTCP, which has never been seen in the conventional spin fluctuation theory. We propose a general theory of quantum tricriticality that has nothing to do with the specific Kondo physics itself, and solves puzzles of quantum criticalities widely observed in heavyfermion systems such as YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAlB 4 . For YbRh 2 Si 2 , our theory successfully reproduces quantitative behaviors of the experimentally obtained ferromagnetic susceptibility and magnetization curve when suitable phenomenological parameters are chosen. The quantum tricriticality is also consistent with singularities of other physical properties such as specific heat, nuclear magnetic relaxation time 1/T 1 T, and the Hall coefficient. For CeRu 2 Si 2 and β-YbAlB 4 , we point out that the quantum tricriticality is a possible origin of the anomalous diverging enhancement of the uniform susceptibility observed in these materials.",
keywords = "Heavy-fermion systems, Quantum critical phenomena, Quantum tricritical point, Self-consistent renormalization theory, Tricritical point",
author = "Takahiro Misawa and Youhei Yamaji and Masatoshi Imada",
year = "2009",
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doi = "10.1143/JPSJ.78.084707",
language = "English",
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T2 - Applications to heavy-fermion systems, YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAIB 4

AU - Misawa, Takahiro

AU - Yamaji, Youhei

AU - Imada, Masatoshi

PY - 2009/8/1

Y1 - 2009/8/1

N2 - We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where a first-order phase transition changes into a continuous transition at zero temperature. Under magnetic fields, ferromagnetic quantum critical fluctuations develop around the antiferromagnetic QTCP in addition to antiferromagnetic fluctuations, which is in sharp contrast with the conventional antiferromagnetic quantum critical point. For itinerant electron systems, we show that the temperature dependence of critical magnetic fluctuations around the QTCP is given as χ q T -3/2 (χ 0 T -3/4 ) at the antiferromagnetic ordering (ferromagnetic) wave number q = Q (q = 0). The convex temperature dependence of χ 0-1 is a characteristic feature of the QTCP, which has never been seen in the conventional spin fluctuation theory. We propose a general theory of quantum tricriticality that has nothing to do with the specific Kondo physics itself, and solves puzzles of quantum criticalities widely observed in heavyfermion systems such as YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAlB 4 . For YbRh 2 Si 2 , our theory successfully reproduces quantitative behaviors of the experimentally obtained ferromagnetic susceptibility and magnetization curve when suitable phenomenological parameters are chosen. The quantum tricriticality is also consistent with singularities of other physical properties such as specific heat, nuclear magnetic relaxation time 1/T 1 T, and the Hall coefficient. For CeRu 2 Si 2 and β-YbAlB 4 , we point out that the quantum tricriticality is a possible origin of the anomalous diverging enhancement of the uniform susceptibility observed in these materials.

AB - We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where a first-order phase transition changes into a continuous transition at zero temperature. Under magnetic fields, ferromagnetic quantum critical fluctuations develop around the antiferromagnetic QTCP in addition to antiferromagnetic fluctuations, which is in sharp contrast with the conventional antiferromagnetic quantum critical point. For itinerant electron systems, we show that the temperature dependence of critical magnetic fluctuations around the QTCP is given as χ q T -3/2 (χ 0 T -3/4 ) at the antiferromagnetic ordering (ferromagnetic) wave number q = Q (q = 0). The convex temperature dependence of χ 0-1 is a characteristic feature of the QTCP, which has never been seen in the conventional spin fluctuation theory. We propose a general theory of quantum tricriticality that has nothing to do with the specific Kondo physics itself, and solves puzzles of quantum criticalities widely observed in heavyfermion systems such as YbRh 2 Si 2 , CeRu 2 Si 2 , and β-YbAlB 4 . For YbRh 2 Si 2 , our theory successfully reproduces quantitative behaviors of the experimentally obtained ferromagnetic susceptibility and magnetization curve when suitable phenomenological parameters are chosen. The quantum tricriticality is also consistent with singularities of other physical properties such as specific heat, nuclear magnetic relaxation time 1/T 1 T, and the Hall coefficient. For CeRu 2 Si 2 and β-YbAlB 4 , we point out that the quantum tricriticality is a possible origin of the anomalous diverging enhancement of the uniform susceptibility observed in these materials.

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