Eur. Phys. J. Plus (2018) 133: 199
https://doi.org/10.1140/epjp/i2018-12035-9

Regular Article

The two-point resistance on the diamond cubic lattice

Department of Physics, Al-Hussein Bin Talal University, P. O. Box 20, 71111, Ma’an, Jordan

^* e-mail: owaidat@ahu.edu.jo

Received: 14 December 2017
Accepted: 25 April 2018
Published online: 28 May 2018

Abstract

The problem of calculating the equivalent resistance between any two lattice sites in several lattice structures of resistors has recently received much attention. In this paper, we study the problem of an infinite diamond cubic lattice structure formed from identical resistors using the lattice Green’s function technique. Some numerical results for the resistance are presented. The asymptotic values of the resistance are calculated numerically as the distance between lattice sites goes to infinity.