St. Petersburg Polytechnic University Journal: Physics and Mathematics Научно-технические ведомости СПбГПУ. Физико-математические науки 2304-9782, 2618-8686, 2405-7223 1 Metal — insulator transition in a nonmagnetic InSb crystal semiconductor in the magnetic field Переход диэлектрик — металл в немагнитном кристаллическом полупроводнике антимонида индия в магнитном поле Orlenko Fedor fadler@mail.ru Zegrya Georgiy zegrya@theory.ioffe.ru 10 03 2011 1 116 7 11

A Hamiltonian of the exchange interaction in the spin representation is developed for the couples of particles with spins equal to 3/2. The ground antiferromagnetic state is degenerated in respect to the total spin of the acceptor couple. The degeneracy is removed by a strong magnetic field that induces a transition into a magnetic and (at the same time) a conducting state.

 hamiltonian of particle system spin of 3/2 ground state fragmentation removal of degeneracy magnetic field insulator - metal transition