Single-particle Green`s functions of the Calogero-Sutherland model at couplings {lambda}=1/2, 1, and 2
- Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln (Germany)
- Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)
At coupling strengths {lambda}=1/2, 1, or 2, the Calogero-Sutherland model (CSM) is related to Brownian motion in a Wigner-Dyson random matrix ensemble with orthogonal, unitary, or symplectic symmetry. Using this relation in conjunction with superanalytic techniques developed in mesoscopic conductor physics, we derive an exact integral representation for the CSM two-particle Green`s function in the thermodynamic limit. Simple closed expressions for the single-particle Green`s functions are extracted by separation of points. For the advanced part, where a particle is added to the ground state and later removed, a sum of two contributions is found: the expected one, with just one particle excitation present, plus an extra term arising from fractionalization of the single particle into a number of elementary particle and hole excitations.
- OSTI ID:
- 249454
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 52, Issue 12; Other Information: PBD: 15 Sep 1995
- Country of Publication:
- United States
- Language:
- English
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