Quantum Mott transition and multi-furcating criticality

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality class. Below the critical temperature, phase separation or first-order transition occurs. However, if the critical point is involved in the Fermi degeneracy region, a quantum critical point appears at zero temperature. The originally single Mott critical point generates subsequent many unstable fixed points through various Fermi surface instabilities induced by the Mott criticality characterized by the diverging charge susceptibility or doublon susceptibility. This occurs in marginal quantum-critical region. Charge, magnetic and superconducting instabilitites compete severely under these critical charge fluctuations. The quantum Mott transition triggers multi-furcating criticality, which goes beyond the conventional concept of multicriticality in quantum phase transitions. Near the quantum Mott transition, the criticality generically drives growth of inhomogeneous structure in the momentum space with singular points of flat dispersion on the Fermi surface. The singular points determine the quantum dynamics of the Mott transition by the dynamical exponent z = 4. We argue that many of filling-control Mott transitions are classified to this category. Recent numerical results as well as experimental results on strongly correlated systems including transition metal oxides, organic materials and 3He layer adsorbed on a substrate are consistently analyzed especially in two-dimensional systems. The mechanism of cuprate high-T c superconductivity is also discussed in the light of the present insight and interpreted from the multi-furcation instability.

Original languageEnglish
Pages (from-to)1851-1863
Number of pages13
JournalJournal of the Physical Society of Japan
Volume73
Issue number7
DOIs
Publication statusPublished - 2004 Jul 1
Externally publishedYes

Fingerprint

critical point
Fermi surfaces
critical temperature
magnetic permeability
organic materials
cuprates
metal oxides
superconductivity
actuators
transition metals
exponents
momentum
temperature

Keywords

  • Ginzburg-Landau theory
  • High-T superconductivity
  • High-T superconductivity
  • Mott transition
  • Multi-furcation
  • Phase separation
  • Quantum critical phenomena
  • Quantum phase transition
  • Tricritical point
  • Two-dimensional Hubbard model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quantum Mott transition and multi-furcating criticality. / Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 73, No. 7, 01.07.2004, p. 1851-1863.

Research output: Contribution to journalArticle

@article{8515dd19827d4a1db635c311f633aaa7,
title = "Quantum Mott transition and multi-furcating criticality",
abstract = "Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality class. Below the critical temperature, phase separation or first-order transition occurs. However, if the critical point is involved in the Fermi degeneracy region, a quantum critical point appears at zero temperature. The originally single Mott critical point generates subsequent many unstable fixed points through various Fermi surface instabilities induced by the Mott criticality characterized by the diverging charge susceptibility or doublon susceptibility. This occurs in marginal quantum-critical region. Charge, magnetic and superconducting instabilitites compete severely under these critical charge fluctuations. The quantum Mott transition triggers multi-furcating criticality, which goes beyond the conventional concept of multicriticality in quantum phase transitions. Near the quantum Mott transition, the criticality generically drives growth of inhomogeneous structure in the momentum space with singular points of flat dispersion on the Fermi surface. The singular points determine the quantum dynamics of the Mott transition by the dynamical exponent z = 4. We argue that many of filling-control Mott transitions are classified to this category. Recent numerical results as well as experimental results on strongly correlated systems including transition metal oxides, organic materials and 3He layer adsorbed on a substrate are consistently analyzed especially in two-dimensional systems. The mechanism of cuprate high-T c superconductivity is also discussed in the light of the present insight and interpreted from the multi-furcation instability.",
keywords = "Ginzburg-Landau theory, High-T superconductivity, High-T superconductivity, Mott transition, Multi-furcation, Phase separation, Quantum critical phenomena, Quantum phase transition, Tricritical point, Two-dimensional Hubbard model",
author = "Masatoshi Imada",
year = "2004",
month = "7",
day = "1",
doi = "10.1143/JPSJ.73.1851",
language = "English",
volume = "73",
pages = "1851--1863",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "7",

}

TY - JOUR

T1 - Quantum Mott transition and multi-furcating criticality

AU - Imada, Masatoshi

PY - 2004/7/1

Y1 - 2004/7/1

N2 - Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality class. Below the critical temperature, phase separation or first-order transition occurs. However, if the critical point is involved in the Fermi degeneracy region, a quantum critical point appears at zero temperature. The originally single Mott critical point generates subsequent many unstable fixed points through various Fermi surface instabilities induced by the Mott criticality characterized by the diverging charge susceptibility or doublon susceptibility. This occurs in marginal quantum-critical region. Charge, magnetic and superconducting instabilitites compete severely under these critical charge fluctuations. The quantum Mott transition triggers multi-furcating criticality, which goes beyond the conventional concept of multicriticality in quantum phase transitions. Near the quantum Mott transition, the criticality generically drives growth of inhomogeneous structure in the momentum space with singular points of flat dispersion on the Fermi surface. The singular points determine the quantum dynamics of the Mott transition by the dynamical exponent z = 4. We argue that many of filling-control Mott transitions are classified to this category. Recent numerical results as well as experimental results on strongly correlated systems including transition metal oxides, organic materials and 3He layer adsorbed on a substrate are consistently analyzed especially in two-dimensional systems. The mechanism of cuprate high-T c superconductivity is also discussed in the light of the present insight and interpreted from the multi-furcation instability.

AB - Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality class. Below the critical temperature, phase separation or first-order transition occurs. However, if the critical point is involved in the Fermi degeneracy region, a quantum critical point appears at zero temperature. The originally single Mott critical point generates subsequent many unstable fixed points through various Fermi surface instabilities induced by the Mott criticality characterized by the diverging charge susceptibility or doublon susceptibility. This occurs in marginal quantum-critical region. Charge, magnetic and superconducting instabilitites compete severely under these critical charge fluctuations. The quantum Mott transition triggers multi-furcating criticality, which goes beyond the conventional concept of multicriticality in quantum phase transitions. Near the quantum Mott transition, the criticality generically drives growth of inhomogeneous structure in the momentum space with singular points of flat dispersion on the Fermi surface. The singular points determine the quantum dynamics of the Mott transition by the dynamical exponent z = 4. We argue that many of filling-control Mott transitions are classified to this category. Recent numerical results as well as experimental results on strongly correlated systems including transition metal oxides, organic materials and 3He layer adsorbed on a substrate are consistently analyzed especially in two-dimensional systems. The mechanism of cuprate high-T c superconductivity is also discussed in the light of the present insight and interpreted from the multi-furcation instability.

KW - Ginzburg-Landau theory

KW - High-T superconductivity

KW - High-T superconductivity

KW - Mott transition

KW - Multi-furcation

KW - Phase separation

KW - Quantum critical phenomena

KW - Quantum phase transition

KW - Tricritical point

KW - Two-dimensional Hubbard model

UR - http://www.scopus.com/inward/record.url?scp=15844422321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=15844422321&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.73.1851

DO - 10.1143/JPSJ.73.1851

M3 - Article

VL - 73

SP - 1851

EP - 1863

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 7

ER -