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Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multiscale Methods

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Antipov,  Andrey
Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Kirchner,  Stefan
Stefan Kirchner, cross-PKS/CPfS theory group, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Citation

Antipov, A., Gull, E., & Kirchner, S. (2014). Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multiscale Methods. Physical Review Letters, 112: 226401, pp. 1-5. doi:10.1103/PhysRevLett.112.226401.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0019-DB2B-B
Abstract
Self-consistent dynamical approximations for strongly correlated fermion systems are particularly successful in capturing the dynamical competition of local correlations. In these, the effect of spatially extended degrees of freedom is usually only taken into account in a mean field fashion or as a secondary effect. As a result, critical exponents associated with phase transitions have a mean field character. Here we demonstrate that diagrammatic multiscale methods anchored around local approximations are indeed capable of capturing the non-mean-field nature of the critical point of the lattice model encoded in a nonvanishing anomalous dimension and of correctly describing the transition to mean-field-like behavior as the number of spatial dimensions increases.