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Phys. Rev. B 80, 045101 (2009) [7 pages]

Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy

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Xin Wang1, Emanuel Gull1,2, Luca de’ Medici3, Massimo Capone4, and Andrew J. Millis1
1Department of Physics, Columbia University, New York, New York 10027, USA
2ETH Zürich, 8093 Zürich, Switzerland
3Laboratoire de Physique des Solides, Université Paris-Sud, CNRS UMR 8502, F-91405 Orsay Cedex, France
4SMC Center, CNR-INFM and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, I-00185 Rome, Italy and ISC-CNR, Via dei Taurini 18, I-00185 Rome, Italy

Received 13 April 2009; revised 15 June 2009; published 2 July 2009

Direct analytic continuation of the self-energy is used to determine the effect of antiferromagnetic ordering on the spectral function and optical conductivity of a Mott insulator. Comparison of several methods shows that the most robust estimation of the gap value is obtained by use of the real part of the continued self-energy in the quasiparticle equation within the single-site dynamical mean-field theory of the two-dimensional square lattice Hubbard model, where, for a U that is slightly greater than the Mott critical value, antiferromagnetism increases the gap by about 80%.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.045101
DOI:
10.1103/PhysRevB.80.045101
PACS:
71.10.Fd, 71.27.+a, 71.30.+h
 
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