Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model

Takeo Kato, Masatoshi Imada

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the low-temperature region and the high-temperature region analytically. We found that coherent part around zero frequency in the optical conductivity disappears for 0 < s < 2, where s is an exponent of a spectral function of the environment. Detailed calculation is performed for ohmic damping (s = 1). In this case, the specific heat shows an unusual T-linear behavior at low temperatures, which indicates that the environment strongly influences the particle motion, and changes the low-energy states of the dissipative particle. The optical conductivity σ(ω) takes a non-Drude form even at zero temperature, and the high-frequency side behaves as ω2K-2, where K is a dimensionless damping strength. The high frequency side of the optical conductivity is independent of temperatures, while the low frequency side depends on the temperature, and behaves as T2K-2 at high temperatures. We also comment on the application of this model to the description, of incoherent motion in correlated electron systems.

Original languageEnglish
Pages (from-to)2828-2846
Number of pages19
JournalJournal of the Physical Society of Japan
Volume67
Issue number8
DOIs
Publication statusPublished - 1998 Jan 1
Externally publishedYes

Fingerprint

conductivity
thermodynamics
damping
specific heat
particle motion
temperature
crossovers
thermodynamic properties
transport properties
exponents
low frequencies
electrons
energy

Keywords

  • Coherence
  • Dissipation
  • Incoherence
  • Kubo formula
  • Ohmic damping
  • Optical conductivity
  • Specific heat

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model. / Kato, Takeo; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 67, No. 8, 01.01.1998, p. 2828-2846.

Research output: Contribution to journalArticle

@article{fe4ad5da1e7941fc8f0d87cf092133ff,
title = "Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model",
abstract = "Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the low-temperature region and the high-temperature region analytically. We found that coherent part around zero frequency in the optical conductivity disappears for 0 < s < 2, where s is an exponent of a spectral function of the environment. Detailed calculation is performed for ohmic damping (s = 1). In this case, the specific heat shows an unusual T-linear behavior at low temperatures, which indicates that the environment strongly influences the particle motion, and changes the low-energy states of the dissipative particle. The optical conductivity σ(ω) takes a non-Drude form even at zero temperature, and the high-frequency side behaves as ω2K-2, where K is a dimensionless damping strength. The high frequency side of the optical conductivity is independent of temperatures, while the low frequency side depends on the temperature, and behaves as T2K-2 at high temperatures. We also comment on the application of this model to the description, of incoherent motion in correlated electron systems.",
keywords = "Coherence, Dissipation, Incoherence, Kubo formula, Ohmic damping, Optical conductivity, Specific heat",
author = "Takeo Kato and Masatoshi Imada",
year = "1998",
month = "1",
day = "1",
doi = "10.1143/JPSJ.67.2828",
language = "English",
volume = "67",
pages = "2828--2846",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "8",

}

TY - JOUR

T1 - Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model

AU - Kato, Takeo

AU - Imada, Masatoshi

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the low-temperature region and the high-temperature region analytically. We found that coherent part around zero frequency in the optical conductivity disappears for 0 < s < 2, where s is an exponent of a spectral function of the environment. Detailed calculation is performed for ohmic damping (s = 1). In this case, the specific heat shows an unusual T-linear behavior at low temperatures, which indicates that the environment strongly influences the particle motion, and changes the low-energy states of the dissipative particle. The optical conductivity σ(ω) takes a non-Drude form even at zero temperature, and the high-frequency side behaves as ω2K-2, where K is a dimensionless damping strength. The high frequency side of the optical conductivity is independent of temperatures, while the low frequency side depends on the temperature, and behaves as T2K-2 at high temperatures. We also comment on the application of this model to the description, of incoherent motion in correlated electron systems.

AB - Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the low-temperature region and the high-temperature region analytically. We found that coherent part around zero frequency in the optical conductivity disappears for 0 < s < 2, where s is an exponent of a spectral function of the environment. Detailed calculation is performed for ohmic damping (s = 1). In this case, the specific heat shows an unusual T-linear behavior at low temperatures, which indicates that the environment strongly influences the particle motion, and changes the low-energy states of the dissipative particle. The optical conductivity σ(ω) takes a non-Drude form even at zero temperature, and the high-frequency side behaves as ω2K-2, where K is a dimensionless damping strength. The high frequency side of the optical conductivity is independent of temperatures, while the low frequency side depends on the temperature, and behaves as T2K-2 at high temperatures. We also comment on the application of this model to the description, of incoherent motion in correlated electron systems.

KW - Coherence

KW - Dissipation

KW - Incoherence

KW - Kubo formula

KW - Ohmic damping

KW - Optical conductivity

KW - Specific heat

UR - http://www.scopus.com/inward/record.url?scp=0032354494&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032354494&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.67.2828

DO - 10.1143/JPSJ.67.2828

M3 - Article

AN - SCOPUS:0032354494

VL - 67

SP - 2828

EP - 2846

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 8

ER -