Spectrum and thermodynamics of the one-dimensional supersymmetric<i>t</i>-<i>J</i>model with 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>exchange and hopping

Wang, D. F.; Liu, James T.; Coleman, Piers

doi:10.1103/physrevb.46.6639

Cited by 52 publications

(56 citation statements)

References 20 publications

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“…Note that when φ ↑ = φ ↓ = 0, ε(J) reduces to the well-known form ε(J) = J(J − N ), and the spectrum obtained here coincides with that found in [12]. The expression (33) gives the exact ground state energy with twisted boundary conditions.…”

Section: Eigenvaluessupporting

confidence: 81%

“…Note that T ↓ exchanges pairs of {x α } and {y l }, and is difficult to treat directly [10,12]. However, if we introduce a unitary operator U generating the π-rotation around x-axis; U ≡ j e πi(S…”

Section: Model Hamiltonianmentioning

confidence: 99%

“…For this purpose, we first calculate the actions of hopping terms on the wave function (12) in several steps, following similar calculations to Refs. [10] and [12] except that hopping terms are now given by a complicated form J φ depending on φ σ in a nontrivial way.…”

Section: Model Hamiltonianmentioning

confidence: 99%

“…what happens for the spectral flow when holes are doped into the Haldane-Shastry spin model. To address this question, we investigate in this paper the exact spectral flow in the supersymmetric t-J model with 1/r 2 hopping and exchange, which was exactly solved for the first time by Kuramoto and Yokoyama with periodic boundary conditions [10][11][12]. We extend the model to include the twisted boundary conditions, and then discuss spectral properties of the model as a function of the twist angle.…”

Section: Introductionmentioning

confidence: 99%

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

Fukui

Kawakami

1996

Phys. Rev. B

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The spectral flow in the supersymmetric t-J model with 1/r 2 interaction is studied by analyzing the exact spectrum with twisted boundary conditions. The spectral flows for the charge and spin sectors are shown to nicely fit in with the motif picture in the asymptotic Bethe ansatz. Although fractional exclusion statistics for the spin sector clearly shows up in the period of the spectral flow at half filling, such a property is generally hidden once any number of holes are doped, because the commensurability condition in the motif is not met in the metallic phase. 71.27.+a, 75.10.Jm,

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Section: Eigenvaluessupporting

confidence: 81%

Section: Model Hamiltonianmentioning

confidence: 99%

Section: Model Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Fukui

Kawakami

1996

Phys. Rev. B

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“…In order to derive eigenfunctions of the system, it is convenient to use the Sutherland model [11] with the SU (1,1) supersymmetry as an auxiliary [12,13]. The merit of using the Sutherland model is that much more is known about properties of the eigenfunctions than those for the t-J model.…”

mentioning

confidence: 99%

Electron Addition Spectrum in the Supersymmetrict−JModel with Inverse-Square Interaction

Arikawa¹,

Saiga²,

Kuramoto³

2001

Phys. Rev. Lett.

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The electron addition spectrum A + (k, ω) is obtained analytically for the one-dimensional (1D) supersymmetric t-J model with 1/r 2 interaction. The result is obtained first for a small-sized system and its validity is checked against the numerical calculation. Then the general expression is found which is valid for arbitrary size of the system. The thermodynamic limit of A + (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A + (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit.71.10. Pm, 75.10.Jm, The concept of spinons and holons, both of which obey the fractional statistics [1], has turned out to be useful in approaching to 1D electron systems. In terms of these quasi-particles one can inquire into not only the low-energy and low-wavelength limit, but the global feature of the dynamics. Hence special interest has been cherished in the global dynamics from both theoretical and experimental points of view. For example, angle resolved photoemission [2] has revealed some evidence of the spin-charge separation by resolution of holon and spinon contributions. On the theoretical side, numerical studies have been performed for the 1D t-J model for a small number of lattice sites [3] and some structures have been ascribed to spinons and holons. For deeper understanding of the overall dynamics, demand is growing for analytic theory which can go to the thermodynamic limit. Partly analytic theory is available for the single-particle spectral functions of the t-J model in the J → 0 limit [4]. A notable feature is that a satellite band is observed whose intensity is comparable to that of the main band. It is natural to ask how the finite J influences the dynamics.In the supersymmetric t-J model with 1/r 2 interaction [5], spinons and holons appear in the simplest manner. In fact exact thermodynamics for the model [6] can be interpreted in terms of free spinons and holons. Ha and Haldane [7] analyzed numerical results for dynamics in finite-sized systems, and found that only a few number of elementary excitations contribute to spectral functions. They proposed a momentum-frequency region where each spectral function takes nonzero values in the thermodynamic limit, but they did not obtain the spectral functions themselves. Recently, exact results have been derived for a particular component [8], and for a particular momentum range of the spectral weight [9].In this paper we report on the analytical result of the electron addition spectrum for the t-J model at zero temperature. The electron addition spectral function is relevant to the angle resolved inverse photoemission spectroscopy. Our result constitutes the first analytical knowledge for dynamical quantities of lattice electrons with no restriction on the system size, the density and the momentum-frequency range. Although we cannot provide the formal proof for the exactness, the analy...

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