Path integral of Heisenberg model with thermal vacancies

Authors

Diane M. Cañeso ⋅ PH National Institute of Physics, University of the Philippines Diliman
Kristian Hauser A. Villegas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We construct the coherent-state path integral of the antiferromagnetic, Heisenberg model with thermal vacancies. We use the slave-boson method to account for the vacancies and the no-double occupancy constraint of the system. With the use of the Hubbard-Stratonovich transformation, we evaluate the path integral and derive the effective action. For a uniform resonating valence bond state on a square lattice, we obtain the spinon and boson dispersion relations and calculate the analytic form of the free energy.

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Issue

2016: Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Conference

Physics at the front and center: Strengthening core values in physics research
18–21 August 2016, University of the Philippines Visayas, Iloilo City

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Article ID

SPP-2016-5C-04

Section

Theoretical and Computational Physics

Published

2016-08-18

How to Cite

[1]

DM Cañeso, KHA Villegas, and JPH Esguerra, Path integral of Heisenberg model with thermal vacancies, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-5C-04 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-5C-04.