Exact ground state correlations in the supersymmetric exchange t-J model

Forrester, Peter J.

doi:10.1016/0375-9601(94)00872-m

Cited by 9 publications

(10 citation statements)

References 13 publications

(26 reference statements)

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“…6 In Eq. ͑19͒, with Q + 1 replaced by Q and z 0 removed, the first determinant is a sum of terms of the form z 1 p 1 , ... ,z Q p Q and the second determinant is a sum of terms of the form…”

Section: Expansion Of Propagator In Diagramsmentioning

confidence: 99%

“…3 In the last decade, a considerable amount of analytical information has been accumulated for the supersymmetric t-J model. [4][5][6][7][8][9][10] Especially remarkable are exact results for dynamical quantities such as the electron addition spectrum 8,10 and the dynamic magnetic susceptibility. 9 The results can be nicely interpreted in terms of elementary excitations such as spinons and holons, which obey fractional exclusion statistics.…”

Section: Introductionmentioning

confidence: 99%

“…5 On the other hand, the static correlation functions are determined by information about the ground state only. For example, the static spin structure factor has been derived analytically 6,11 and shows a remarkable relation with the level correlation function in random matrix theory. 12 The density matrix or the momentum distribution is also determined by the ground state only.…”

Section: Introductionmentioning

confidence: 99%

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Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel

Narayan

Kuramoto

2006

Phys. Rev. B

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The density matrix-i.e., the Fourier transform of the momentum distribution-is obtained analytically in closed form for the Gutzwiller wave function with exclusion of double occupancy per site. The density matrix for the majority spin is obtained for all magnetizations including the singlet case. Since the wave function gives the ground state of the supersymmetric t-J model with the 1 / r 2 exchange and transfer, the result gives the exact density matrix of the model at zero temperature. From the oscillating behavior of the density matrix, the discontinuity of the momentum distribution at the Fermi momentum k F is identified. The form of the weaker singularity at 3k F is also obtained; there is a discontinuity in the second derivative of the momentum distribution, whose magnitude is calculated analytically. The momentum distribution over the whole Brillouin zone is obtained numerically from the analytic solution of the density matrix. The result is in excellent agreement with previous results derived by different methods.

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Section: Expansion Of Propagator In Diagramsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel

Narayan

Kuramoto

2006

Phys. Rev. B

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“…We make extensive use of a determinant representation of |Ψ G ({z})| 2 following ref. [5]. We introduce a notation…”

Section: A Basics Of the Diagram Techniquementioning

confidence: 99%

“…Various quantities have been studied exactly such as the spin and charge correlation functions, and the momentum distribution which is the Fourier transform of the density matrix. Although the correlation functions have been obtained in a simple closed form [5,6], most results for the momentum distribution still involve a final integration, or summation over infinite series [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel. II. Minority spin component

2008

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The density matrix, i.e. the Fourier transform of the momentum distribution, is obtained analytically for all magnetization of the Gutzwiller wave function in one dimension with exclusion of double occupancy per site. The present result complements the previous analytic derivation of the density matrix for the majority spin. The derivation makes use of a determinantal form of the squared wave function, and multiple integrals over particle coordinates are performed with the help of a diagrammatic representation. In the thermodynamic limit, the density matrix at distance x is completely characterized by quantities vcx and vsx, where vs and vc are spin and charge velocities in the supersymmetric t-J model for which the Gutzwiller wave function gives the exact ground state. The present result then gives the exact density matrix of the t-J model for all densities and all magnetization at zero temperature. Discontinuity, slope, and curvature singularities in the momentum distribution are identified. The momentum distribution obtained by numerical Fourier transform is in excellent agreement with existing result.

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Absorption and radiation of nonminimally coupled scalar field from charged BTZ black hole

2018

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Exact ground state correlations in the supersymmetric exchange t-J model

Cited by 9 publications

References 13 publications

Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel

Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel

Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetrict−Jmodel. II. Minority spin component

Absorption and radiation of nonminimally coupled scalar field from charged BTZ black hole

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