Schwinger-Keldysh semionic approach for quantum spin systems

Details Schwinger-Keldysh semionic approach for quantum spin systems Schwinger-Keldysh semionic approach for quantum spin systems

2000-08-03

arxiv.org/abs/cond-mat/0008060v2

Phys.Rev.Lett. 85, 5631 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX, 2 EPS figures included, corrected some typos, minor corrections in the text

Scientific paper

10.1103/PhysRevLett.85.5631

We derive a path-integral Schwinger-Keldysh approach for quantum spin systems. This is achieved by means of a semionic representation of spins as fermions with imaginary chemical potential. The major simplifying feature in comparison with other representations (Holstein-Primakoff, Dyson-Maleev, slave bosons/fermions etc) is that the local constraint is taken into account exactly. As a result, the standard diagram technique with usual Feynman codex is constructed. We illustrate the application of this technique for the N\'eel and spin-liquid states of the AFM Heisenberg model.

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