Magnetic Properties of Quantum Square Heisenberg Antiferromagnet with Frustration: an Auxiliary Fermion Approach

Pham Thi Thanh Nga, Nguyen Toan Thang


We study the magnetic ordered phases of the spin \(-\frac{1}{2}\) Heisenberg antiferromagnetic model with nearest \(J_1\) and next nearest neighbor \(J_2\) exchange interactions on the square lattice using fermionic representation of spin operators within Popov-Fedotov approach.The unphysical states are eliminated on each site by introducing an imaginary chemical potential. Working in local coordinate system for every site we investigate the different ordered phases in dependence on exchange parameters. At \(T = 0\) we recover the conventional spin wave results.



functional integral, antiferromagnetic Heisenberg model, square lattice, frustration

Full Text:


DOI: Display counter: Abstract : 102 views. PDF : 74 views.


  • There are currently no refbacks.

Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 


Copyright by