Schwinger Bosons Approaches to Quantum Antiferromagnetism

Assa Auerbach, Daniel P. Arovas

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter reviews the Schwinger Boson Mean Field Theory (SBMFT) for the quantum Heisenberg model. For bipartite lattices, the SBMFT is set up as the large N limit of the Heisenberg model, where the SU(N) spin operators are represented by N flavors of Schwinger bosons. For frustrated lattices, an Sp(N) representation is used. For the bipartite lattices, the mean field equations are solved, and the ground state wave function, order parameter and excitations dispersions are calculated. The SBMFT is used to calculate the temperature dependent staggered magnetization of the weakly coupled layered antiferromagnet.

Original languageEnglish
Title of host publicationSpringer Series in Solid-State Sciences
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages13
StatePublished - 2011

Publication series

NameSpringer Series in Solid-State Sciences


  • Ground State Wave Function
  • Heisenberg Model
  • Layered Antiferromagnet
  • Quantum Antiferromagnetism
  • Stagger Magnetization

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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