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Models exhibiting order by projection

Kumar, Brijesh and Shastry, Sriram B (2000) Models exhibiting order by projection. In: Physical Review B, 61 (16). pp. 10716-10724.

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Abstract

We present calculations on a simple spin model which shows the phenomenon of order by projection. We discuss a two-level atomic system coupled to the radiation field to explore the possible relevance of order by projection in quantum optics. We point out the similarity between the effective Hamiltonian for the two-level atoms and the reduced BCS Hamiltonian used in the study of the ultrasmall metallic grains, and we present some calculations to show the transition from a nonsuperconducting to a superconducting ground state in the grains. We present a sum rule for the interacting electron systems on a lattice, exhibiting order by projection. This relates a nonextensive change in the “kinetic energy” due to a projection term to the extensive expectation value of the interaction in the ground state without projection.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 04 Aug 2008
Last Modified: 19 Sep 2010 04:48
URI: http://eprints.iisc.ernet.in/id/eprint/15408

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