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Solution to sign problems in models of interacting fermions and quantum spins

Huffman, Emilie and Chandrasekharan, Shailesh (2016) Solution to sign problems in models of interacting fermions and quantum spins. In: PHYSICAL REVIEW E, 94 (4).

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Official URL: http://dx.doi.org/10.1103/PhysRevE.94.043311


We show that solutions to fermion sign problems that are found in the formulation where the path integral is expanded in powers of the interaction in continuous time can be extended to systems involving fermions interacting with dynamical quantum spins. While these sign problems seem unsolvable in the auxiliary field approach, solutions emerge in the world-line representation of quantum spins. Combining this idea with meron-cluster methods, we are able to further extend the class of models that are solvable. We demonstrate these solutions to sign problems by considering several examples of strongly correlated systems that contain the physics of semimetals, insulators, superfluidity, and antiferromagnetism.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 03 Dec 2016 10:13
Last Modified: 03 Dec 2016 10:13
URI: http://eprints.iisc.ac.in/id/eprint/55413

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