### Abstract

Tricritical point in charge-order systems and its criticality are studied for a microscopic model by using the mean-field approximation and exchange Monte Carlo method in the classical limit as well as by using the Hartree-Fock approximation for the quantum model. We study the extended Hubbard model and show that the tricritical point emerges as an endpoint of the first-order transition line between the disordered phase and the charge-ordered phase at finite temperatures. Strong divergences of several fluctuations at zero wavenumber are found and analyzed around the tricritical point. Especially, the charge susceptibility χ_{c} and the susceptibility of the next-nearest-neighbor correlation χ_{R} are shown to diverge and their critical exponents are derived to be the same as the criticality of the susceptibility of the double occupancy χ_{D(0)}. The singularity of conductivity at the tricritical point is clarified. We show that the singularity of the conductivity σ is governed by that of the carrier density and is given as |σ - σ_{c}| ∼ |g - g_{c}|^{pt} (A log |g - g_{c}| + B), where g is the effective interaction of the Hubbard model, σ_{c} (g_{c}) represents the critical conductivity(interaction) and A and B are constants, respectively. Here, in the canonical ensemble, we obtain p_{t} = 2β_{t} = 1/2 at the tricritical point. We also show that pt changes into p′_{t} = 2β = 1 at the tricritical point in the grand-canonical ensemble when the tricritical point in the canonical ensemble is involved within the phase separation region. The results are compared with available experimental results of organic conductor (DI-DCNQI)_{2}Ag.

Original language | English |
---|---|

Article number | 064705 |

Journal | Journal of the Physical Society of Japan |

Volume | 75 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2006 Jun 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Charge order
- Charge susceptibility
- Doublon susceptibility
- Extended Hubbard model
- Organic conductor
- Phase separation
- Tricritical point

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*75*(6), [064705]. https://doi.org/10.1143/JPSJ.75.064705

**Tricritical behavior in charge-order system.** / Misawa, Takahiro; Yamaji, Youhei; Imada, Masatoshi.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 75, no. 6, 064705. https://doi.org/10.1143/JPSJ.75.064705

}

TY - JOUR

T1 - Tricritical behavior in charge-order system

AU - Misawa, Takahiro

AU - Yamaji, Youhei

AU - Imada, Masatoshi

PY - 2006/6/1

Y1 - 2006/6/1

N2 - Tricritical point in charge-order systems and its criticality are studied for a microscopic model by using the mean-field approximation and exchange Monte Carlo method in the classical limit as well as by using the Hartree-Fock approximation for the quantum model. We study the extended Hubbard model and show that the tricritical point emerges as an endpoint of the first-order transition line between the disordered phase and the charge-ordered phase at finite temperatures. Strong divergences of several fluctuations at zero wavenumber are found and analyzed around the tricritical point. Especially, the charge susceptibility χc and the susceptibility of the next-nearest-neighbor correlation χR are shown to diverge and their critical exponents are derived to be the same as the criticality of the susceptibility of the double occupancy χD(0). The singularity of conductivity at the tricritical point is clarified. We show that the singularity of the conductivity σ is governed by that of the carrier density and is given as |σ - σc| ∼ |g - gc|pt (A log |g - gc| + B), where g is the effective interaction of the Hubbard model, σc (gc) represents the critical conductivity(interaction) and A and B are constants, respectively. Here, in the canonical ensemble, we obtain pt = 2βt = 1/2 at the tricritical point. We also show that pt changes into p′t = 2β = 1 at the tricritical point in the grand-canonical ensemble when the tricritical point in the canonical ensemble is involved within the phase separation region. The results are compared with available experimental results of organic conductor (DI-DCNQI)2Ag.

AB - Tricritical point in charge-order systems and its criticality are studied for a microscopic model by using the mean-field approximation and exchange Monte Carlo method in the classical limit as well as by using the Hartree-Fock approximation for the quantum model. We study the extended Hubbard model and show that the tricritical point emerges as an endpoint of the first-order transition line between the disordered phase and the charge-ordered phase at finite temperatures. Strong divergences of several fluctuations at zero wavenumber are found and analyzed around the tricritical point. Especially, the charge susceptibility χc and the susceptibility of the next-nearest-neighbor correlation χR are shown to diverge and their critical exponents are derived to be the same as the criticality of the susceptibility of the double occupancy χD(0). The singularity of conductivity at the tricritical point is clarified. We show that the singularity of the conductivity σ is governed by that of the carrier density and is given as |σ - σc| ∼ |g - gc|pt (A log |g - gc| + B), where g is the effective interaction of the Hubbard model, σc (gc) represents the critical conductivity(interaction) and A and B are constants, respectively. Here, in the canonical ensemble, we obtain pt = 2βt = 1/2 at the tricritical point. We also show that pt changes into p′t = 2β = 1 at the tricritical point in the grand-canonical ensemble when the tricritical point in the canonical ensemble is involved within the phase separation region. The results are compared with available experimental results of organic conductor (DI-DCNQI)2Ag.

KW - Charge order

KW - Charge susceptibility

KW - Doublon susceptibility

KW - Extended Hubbard model

KW - Organic conductor

KW - Phase separation

KW - Tricritical point

UR - http://www.scopus.com/inward/record.url?scp=33847267832&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847267832&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.75.064705

DO - 10.1143/JPSJ.75.064705

M3 - Article

AN - SCOPUS:33847267832

VL - 75

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

M1 - 064705

ER -