TY - JOUR

T1 - Exact density matrix of the Gutzwiller wave function as the ground state of the inverse-square supersymmetric t-J model

AU - Narayan, Onuttom

AU - Kuramoto, Yoshio

PY - 2006

Y1 - 2006

N2 - 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/r2 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 kF is identified. The form of the weaker singularity at 3 kF 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.

AB - 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/r2 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 kF is identified. The form of the weaker singularity at 3 kF 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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U2 - 10.1103/PhysRevB.73.195116

DO - 10.1103/PhysRevB.73.195116

M3 - Article

AN - SCOPUS:33646717979

SN - 0163-1829

VL - 73

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 19

M1 - 195116

ER -