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AIP conference proceedings

On some ground state characteristics of the t-J-V model

Papiya Pal, K. Roy, Subhadip Nath, Nanda Kumar Ghosh

Published Jan 1, 2018• 0 citations
Publisher

Abstract

We present numerical results of the t – J – V model using exact diagonalization (ED) technique within an 8 – site tilted square cluster. Applying periodic boundary conditions, the calculations have been extended beyond the 8 – site limit. Inter-site Coulomb repulsion shifts the region of the formation of bound states. It softens the attractive exchange interaction decreasing d-wave pairing susceptibility. Short range antiferromagnetic (AF) order is present in the system for V/t ≤ 0.8.

DOI
10.1063/1.5033068

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We present numerical results of the t – J – V model using exact diagonalization (ED) technique within an 8 – site tilted square cluster. Applying periodic boundary conditions, the calculations have been extended beyond the 8 – site limit. Inter-site Coulomb repulsion shifts the region of the formation of bound states. It softens the attractive exchange interaction decreasing d-wave pairing susceptibility. Short range antiferromagnetic (AF) order is present in the system for V/t ≤ 0.8.
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.
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.
The influence of the next-nearest-neighbor (NNN) antiferromagnetic interaction J ’has been examined within t-t'-J-J ’model in an exact technique. An 8-site square cluster is chosen as the representative of the system. The effect of the next-nearest-neighbor (NNN) antiferromagnetic interaction on various ground state properties such as electron-electron correlation, spin-spin correlation, effective hopping amplitude etc. has been studied. Temperature variation of the susceptibility shows that J ’suppresses short range antiferromagnetic order. Applying periodic boundary conditions, the calculations have been extended beyond the 8-site limit.
We solve the t-J model with four holes on a 32-site lattice using exact diagonalization. This is the largest scale calculation ever reported for this model. The size of the matrix involved in this problem is about 3×109 by 3×109. We find that at the realistic parameter J/t = 0.3, holes in the ground state of this system are unbound. They have short range repulsion due to lowering of kinetic energy. The electron momentum distribution function resembles hole pockets. We show that in case antiferromagnetic order is strong, holes form d-wave bound pairs and there is mutual repulsion among the holes. This presumably will occur at low doping level.
We study the $t\text{\ensuremath{-}}J$ model with four holes on a 32-site square lattice using exact diagonalization. This system corresponds to doping level x=18x=\frac{1}{8}x=81​. At the ``realistic'' parameter J∕t=0.3J∕t=0.3J∕t=0.3, holes in the ground state of this system are unbound. They have short range repulsion due to the lowering of the kinetic energy. There is no antiferromagnetic spin order and the electron momentum distribution function resembles hole pockets. Furthermore, we show evidence that in case antiferromagnetic order exists, holes form ddd-wave bound pairs and there is mutual repulsion among hole pairs. This presumably will occur at low doping levels. This scenario is compatible with a checkerboard-type charge density state proposed to explain the ``18\frac{1}{8}81​ anomaly'' in the lanthanum cuprate family, except that it is the ground state only when the system possesses strong antiferromagnetic order.