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AIP conference proceedings

Some ground state characteristics of the high-Tc cuprates within t-J-U model

Chumki Tarafdar, Krishanu Roy, Nanda Kumar Ghosh

Published Jan 1, 2020• 0 citations
Publisher

Abstract

Exact diagonalization study based on Lanczos method has been performed to understand the effect of on-site Coulomb repulsion (U) within t-J-U model in an 8 – site tilted square cluster at a hole doping <h>= 0.25. We have applied periodic boundary conditions to identify complete orthonormal basis states. It appears that U destabilizes superconducting ground state. On-site Coulomb repulsion decreases kinetic energy of the electrons and cooperates with exchange interaction J.

DOI
10.1063/5.0002280

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Exact diagonalization study based on Lanczos method has been performed to understand the effect of on-site Coulomb repulsion (U) within t-J-U model in an 8 – site tilted square cluster at a hole doping <h>= 0.25. We have applied periodic boundary conditions to identify complete orthonormal basis states. It appears that U destabilizes superconducting ground state. On-site Coulomb repulsion decreases kinetic energy of the electrons and cooperates with exchange interaction J.
We present numerical results on the role of next-nearest-neighbor (NNN) Coulomb repulsion within t-J-V-Vʹ model using exact diagonalization (ED) technique within an 8 – site tilted square cluster at a hole doping <h>=0.25. Periodic boundary conditions have been applied to obtain complete basis states. It appears that hole-hole correlation is dominant at d = √2. NNN Coulomb repulsion localizes the electrons and cooperates with exchange interaction J. Non-Fermi liquid behavior of the model has been confirmed.
We present numerical results of the t-J-V model in an 8-site tilted square cluster using exact diagonalization (ED) method with periodic boundary conditions. Effective hopping amplitude initially increases with inter-site Coulomb repulsion (V), but decreases at larger V’s. The hole-hole correlation decreases with inter-site distances at smaller V. With the increase of Coulomb repulsion, the system becomes ordered. The specific heat curves confirm the non-Fermi liquid behavior of the system under t-J-V model.
Effect of on-site hole-phonon (h-ph) interaction within Holstein t-J model has been examined numerically using exact diagonalization (ED) technique within an 8 – site tilted square cluster at a hole doping <h>=0.25. We have applied periodic boundary conditions to obtain the basis states. It appears that with the increase of on-site h-ph interaction λ1 as well as phonon energy ω0, the ground state energy of the system reduces. Also, the enhancement of the number of phonons results in a significant decrease in ground state energy. At higher temperature, entropy decreases with λ1 as a result of the formation of S0 bipolarons. Low temperature specific heat indicates non-Fermi liquid behavior of the system.
Strongly correlated 2D electrons described by the t–J model are investigated numerically. Exact ground state for one and two holes in a finite cluster with periodic boundary conditions are obtained by using the Lanczos algorithm. The effects of Coulomb repulsion of the holes on the nearest neighbor sites are taken into account. Commensurate flux phases are investigated for the same size of clusters. They are shown to be a good approximation for the ground state specially in the intermediate value of J/t.
We investigate the Hubbard model on a two-dimensional cluster of 18 sites using Lanczos algorithm for different strengths of Coulomb repulsion in the low doping region. Energies and correlation functions are given for half-filling and two holes. In the strong coupling regime we compare our results with the $t\ensuremath{-}J$ model. We confirm the tendency of holes to repel, although a significant value of the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-wave superconductive order parameter is measured. These data represent a benchmark for future quantum simulations.