Dynamical Properties of Quasi-One-Dimensional Conductors: A Phase Hamiltonian Approach

Fukuyama, Hidetoshi; Takayama, Hajime

doi:10.1007/978-94-015-6923-1_2

Cited by 54 publications

(30 citation statements)

References 207 publications

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“…The physics of such interacting one-dimensional electrons can be treated in a transparent way by the Phase Hamiltonian 6,7) based on the bosonization first introduced by Tomonaga. 8) Equation (1) can be transformed into the following by keeping the minimal interactions relevant to the stabilization of BI and MI.…”

Section: Lettersmentioning

confidence: 99%

Solitons in the Crossover between Band Insulator and Mott Insulator: Application to TTF-Chloranil under Pressure

Fukuyama

Ogata

2016

J. Phys. Soc. Jpn.

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The experiment indicates that there is no lattice dimerization in the region of high pressure.Hence this experiment discloses the fact that there exists a smooth change from band insulator (BI) at low pressure to Mott insulator (MI) at high pressure with some characteristic changes of charge and spin excitations in the crossover region.Defining ε c and ε s by conductivity= exp(−ε c ) S/cm and 1/T 1 = exp(−ε s ) /sec, respectively, from the experiment, 1) we see that ε c first decreases as the pressure increases, has a minimum near p = 8 kbar, and then increases saturating near p = 16 kbar, while ε s decreases as the pressure increases monotonically and gradually saturates above p = 10 kbar. Moreover the temperature (T ) dependences of both ε c and ε s are of activation type, i.e., proportional to inverse temperatures at least in the crossover region. Hence we expect that E c = T ε c and E s = T ε s at fixed temperature (room temperature) disclose essentially the pressure de-1/8

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Section: Lettersmentioning

confidence: 99%

Solitons in the Crossover between Band Insulator and Mott Insulator: Application to TTF-Chloranil under Pressure

Fukuyama

Ogata

2016

J. Phys. Soc. Jpn.

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“…We show that the metal-insulator transition in the ladder can be accurately described by a commensurateincommensurate transition, and we determine its characteristics. The commensurate-incommensurate transition is well known in the classical case for one-dimension [14,15] or quasi-one-dimensional [16] system. However the quantum case which corresponds to interacting electron systems, is known only for one-dimensional case [17,18] where its connections to the Mott transition have been investigated in details [19,20,2].…”

Section: Introductionmentioning

confidence: 99%

Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

et al. 2001

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Abstract. We investigate the physical properties of two coupled chains of electrons, with a nearly half-filled band, as a function of the interchain hopping t ⊥ and the doping. We show that upon doping, the system undergoes a metal-insulator transition well described by a commensurate-incommensurate transition. By using bosonization and renormalization we determine the full phase diagram of the system, and the physical quantities such as the charge gap. In the commensurate phase two different regions, for which the interchain hopping is relevant and irrelevant exist, leading to a confinement-deconfinement crossover in this phase. A minimum of the charge gap is observed for values of t ⊥ close to this crossover. At large t ⊥ the region of the commensurate phase is enhanced, compared to a single chain. At the metal-insulator transition the Luttinger parameter takes the universal value K * ρ = 1, in agreement with previous results on special limits of this model.

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“…A study in the case of spinless fermions revealed an interesting transition from two chain to single chain behavior as disorder strength was increased [40], indicating confinement of fermions by disorder. We shall analyze the two chain system with disorder by bosonization [41,42,43,44,45] and RG (renormalization group) techniques and discuss the different disordered phases that are obtained as well as the confinement phase [46,47]. We use the same techniques as Kawakami and Fujimoto [48], who analyzed the interplay of disorder and Umklapp scattering in the two chain ladder at commensurate filling in the regime in which interchain hopping is dominant [48].…”

Section: Introductionmentioning

confidence: 99%

Competition of disorder and interchain hopping in a two-chain Hubbard model

Orignac

Suzumura

2001

Eur. Phys. J. B

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Abstract. We study the interplay of Anderson localization and interaction in a two chain Hubbard ladder allowing for arbitrary ratio of disorder strength to interchain coupling. We obtain three different types of spin gapped localized phases depending on the strength of disorder: a pinned 4kF Charge Density Wave (CDW) for weak disorder, a pinned 2kF CDW π for intermediate disorder and two independently pinned single chain 2kF CDW for strong disorder. Confinement of electrons can be obtained as a result of strong disorder or strong attraction. We give the full phase diagram as a function of disorder, interaction strength and interchain hopping. We also study the influence of interchain hopping on localization length and show that localization is enhanced by a small interchain hopping but suppressed by a large interchain hopping.

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Dynamical Properties of Quasi-One-Dimensional Conductors: A Phase Hamiltonian Approach

Cited by 54 publications

References 207 publications

Solitons in the Crossover between Band Insulator and Mott Insulator: Application to TTF-Chloranil under Pressure

Solitons in the Crossover between Band Insulator and Mott Insulator: Application to TTF-Chloranil under Pressure

Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

Competition of disorder and interchain hopping in a two-chain Hubbard model

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