Spectral flow in the supersymmetric<i>t</i>-<i>J</i>model with a 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>interaction

Fukui, Tsuguya; Kawakami, Norio

doi:10.1103/physrevb.54.5346

Cited by 10 publications

(6 citation statements)

References 14 publications

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“…The summation with respect to ℓ has been introduced to treat the system in a ring geometry. 24,25) Two types of the interaction are considered: (i) the nearest-neighbor (NN) type, i.e., t ijℓ = tδ j,i+1 δ ℓ,0 ; (ii) the inverse-square (IS) type, i.e., t ijℓ = t/(…”

Section: §2 Model and Boundary Conditionsmentioning

confidence: 99%

“…This corresponds to the special case of the twisted boundary condition. 25,27) We want to consider the spin and charge dynamics from the nondegenerate ground state. Hence for N e = 4m + 2 we choose the periodic boundary condition, and for N e = 4m we impose the antiperiodic one.…”

Section: §2 Model and Boundary Conditionsmentioning

confidence: 99%

“…The summation with respect to ℓ has been introduced to treat the system in a ring geometry. 24,25) Two types of the interaction are considered:…”

Section: Model and Boundary Conditionsmentioning

confidence: 99%

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Dynamical Properties of the One-Dimensional Supersymmetrict-JModel: A View from Elementary Excitations

Saiga

Kuramoto

1999

J. Phys. Soc. Jpn.

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Dynamical properties, such as dynamical spin and charge structure factors and single-particle spectral functions, are studied for the one-dimensional supersymmetric t-J model with inversesquare interaction. Exact diagonalization and the recursion method are used for finite systems up to 16 sites. A simple rule is proposed to understand the supermultiplet structure in the excitation spectrum. Numerical calculations show that the dynamical spin structure factor is independent of the electron density in the region where only two spinons contribute. In the electron removal spectrum from half-filling, close correspondence is found between the dominant contribution from three-spinon plus one-holon states in the t-J model and the two-spinon excitations in the HaldaneShastry model. Comparison is made with dynamics of the nearest-neighbor supersymmetric t-J model. KEYWORDS: dynamical spin structure factor, dynamical charge structure factor, single-particle spectral function, t-J model, supersymmetry, inverse-square interaction, nearest-neighbor interaction, exact diagonalization, recursion method §1. IntroductionOne-dimensional (1D) electron systems show strong quantum fluctuations, and have been investigated intensively both theoretically and experimentally. Most of real quasi-1D systems have localized electrons and are regarded as spin systems. Recently some systems with doped holes have also been studied experimentally. For example, Yb 4 As 3 has a small number of carriers, and shows a heavy-fermion behavior in resistivity, magnetic susceptibility and specific heat.1) The spin dynamics in Yb 4 As 3 probed at low temperature suggests that the nature of low-energy spin excitations is similar to that of the 1D antiferromagnetic Heisenberg model.2, 3) On the other hand, a compound Sr 14 Cu 24 O 41 consists of two-leg Cu 2 O 3 ladders and edge-sharing CuO 2 chains. The number of holes in the chain is estimated to be 60% of the number of Cu ions. 4) One may ask how the existence of holes affects dynamical properties of quasi-1D systems. In the presence of both spin and charge degrees of freedom, one can expect much richer physics as compared with spin-only systems.Recent angle-resolved photoemission measurements have revealed the existence of spin-charge separation in quasi-1D systems. In Mott insulators such as SrCuO 2 5, 6)and Sr 2 CuO 3 , 7) angle-resolved photoemission data show two distinct dispersions in the energy-momentum space. One is assigned to the holon band, and the other is regarded as the spinon band. This is an indication of the spin-charge separation. More recently, an angleresolved photoemission study on PrBa 2 Cu 3 O 7 has been performed.8) Signals from the doped CuO 3 chain re- * E-mail: saiga@ginnan.issp.u-tokyo.ac.jp veal the spinon and holon bands in the range of momenta from 0 to π/4 in units of the reciprocal lattice parameter. This indicates that the CuO 3 chain is nearly quarter-filled. In order to investigate theoretically dynamics of these systems with holes, one can take the 1D t-J model 9, 10)...

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Section: §2 Model and Boundary Conditionsmentioning

confidence: 99%

Section: §2 Model and Boundary Conditionsmentioning

confidence: 99%

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Dynamical Properties of the One-Dimensional Supersymmetrict-JModel: A View from Elementary Excitations

Saiga

Kuramoto

1999

J. Phys. Soc. Jpn.

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“…This expression is piecewise linear and continuous in φ, leading to many remarkable features of this model [19][20][21]. In the case of periodic boundary conditions (φ = 0), the physical properties of the supersymmetric t-J model on a uniform closed chain have been studied previously [11][12][13][14].…”

Section: Hamiltonian Of the Su(1|2) T-j Model On This Open Lattice Tamentioning

confidence: 99%

Integrabilities of the long-range t-J models with twisted boundary conditions

Liu

Wang

1997

Phys. Rev. B

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The integrability of the one-dimensional long range supersymmetric t-J model has previously been established for both open systems and those closed by periodic boundary conditions through explicit construction of its integrals of motion. Recently the system has been extended to include the effect of magnetic flux, which gives rise to a closed chain with twisted boundary conditions. While the t-J model with twisted boundary conditions has been solved for the ground state and full energy spectrum, proof of its integrability has so far been lacking. In this letter we extend the proof of integrability of the long range supersymmetric t-J model and its SU (m|n) generalization to include the case of twisted boundary conditions.

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“…Then, the problem reduces essentially to that of two species with the background, and one finds that the action of T k on (3.2) is analogous to that of the spin-hopping term for the supersymmetric t-J model with 1/r 2 interaction [16]. Therefore, by exploiting the techniques developed there, we have…”

Section: Exact Solutionmentioning

confidence: 99%

SU(v) generalization of the twisted Haldane-Shastry model

Fukui

Kawakami

1997

Nuclear Physics B

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The SU(ν) generalized Haldane-Shastry spin chain with 1/r 2 interaction is studied with twisted boundary conditions. The exact wavefunctions of Jastrow type are obtained for every rational value of the twist angle in unit of 2π. The spectral flow of the ground state is then discussed as a function of the twist angle. By resorting to the motif picture in the Bethe ansatz method, we show that the period of the spectral flow is ν, which is determined by the statistical interaction in exclusion statistics.

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Spectral flow in the supersymmetrict-Jmodel with a 1/r2interaction

Cited by 10 publications

References 14 publications

Dynamical Properties of the One-Dimensional Supersymmetrict-JModel: A View from Elementary Excitations

Dynamical Properties of the One-Dimensional Supersymmetrict-JModel: A View from Elementary Excitations

Integrabilities of the long-range t-J models with twisted boundary conditions

SU(v) generalization of the twisted Haldane-Shastry model

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