On Some Ground State and Finite Temperature Properties of Mixed-Valence Compounds Induced by Next to Next-Nearest-Neighbor (NNNN) Hopping Ghosh Piyali1, Ghosh Nanda Kumar1,* 1Department of Physics, University of Kalyani, Kalyani-741235, West Bengal, India *Corresponding author: Nanda Kumar Ghosh, Department of Physics, University of Kalyani, Kalyani-741235, West Bengal, India, E-mail: nkg@klyuniv.ac.in
Online Published on 29 December, 2022. Abstract In the present study, effects of next to next-nearest-neighbor (NNNN) hopping of delectrons in the crystal of mixed valence compounds has been discussed. For convenient theoretical calculation and computer simulation within exact diagonalization method, a small cluster of eight lattice sites is considered here to investigate the valence transition through the study of the inter-site and on-site f-d correlation functions. Unusual magnetic behavior of mixed valence compounds has also been examined. Antiferromagnetic (AF) order has been developed in the compounds of rare earth elements with the addition of NNNN hopping interaction within the extended Falicov-Kimball model. The extrapolation of the curves of the reciprocal susceptibility (χ−1) intercept at a negative temperature which confirms AF order in the system. Top Keywords Mixed valence compound, Extended Falicov-Kimball model, Exact diagonalization method, Valence transition, Antiferromagnetic nature. Top |