This supposed antisymmetrization is illusory. The requirement is actually permutation symmetry. The appearance of antisymmetrization comes about only if you ignore the additional antisymmetrization the anticommutation rule implies for the spin quantization frames -- due to a 2*pi rotation on one particle's frame when you interchange them. To remove this rotation, you have to reverse it, thereby getting an extra minus sign to cancel that due to the anticommutation.ZapperZ said:Fine. In the band structure formulation, Mott insulators are half-filled states in which hopping from one site to another isn't supressed. So band structure Hamiltonian predicts that such material are good conductors. However, in reality, it isn't. For antiferromagnetic mott insulators, there is a huge supression of such hopping due to the requirement of antisymmetrization. You have half-filled states, but spin antisymmetrization surpresses such charge hopping.
The illusion arises because the field creation operators are not single valued. Uniqueness requires a physically complete description of the state they are creating, just as is required for unique state vectors. This requires the methodology described in my paper for eliminating possible 2*pi rotations from spin quantization frames. When this is included in the specification of single-valued creation operators you will see how anticommutation implies the 2*pi relative rotation on one particle.
Done.The material becomes an insulator, and it does. It is only upon doping that you get any form of charge conductivity.
So get me the ground state of a Mott insulator without applying any antisymmetrization rules for fermions.