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49

Sep 22, 2013
09/13

by
J. Feldman; M. Salmhofer; E. Trubowitz

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We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and short-range interactions between the fermions. This theorem gives a physical meaning to the counterterm function K that we use in the renormalization of these models: K can be identified as that part of the self--energy that causes the deformation of the Fermi surface when the interaction is turned on.

Source: http://arxiv.org/abs/math-ph/0001031v1

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48

Sep 20, 2013
09/13

by
C. Honerkamp; M. Salmhofer; T. M. Rice

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We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface deformation tendencies with those towards d-wave pairing and antiferromagnetism. For a ratio of next nearest to nearest neighbor hoppings, t'/t=-0.25, and band fillings where the Fermi surface is inside the Umklapp surface, only the d-pairing susceptibility...

Source: http://arxiv.org/abs/cond-mat/0204063v1

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59

Sep 19, 2013
09/13

by
C. Honerkamp; M. Salmhofer; N. Furukawa; T. M. Rice

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We study the renormalization group flow of the interactions in the two-dimensional t-t' Hubbard model near half filling in a N-patch representation of the whole Fermi surface. Starting from weak to intermediate couplings the flows are to strong coupling with different character depending on the choice of parameters. In a large parameter region elastic Umklapp scatterings drive an instability which on parts of the Fermi surface exhibits the key signatures of an insulating spin liquid (ISL), as...

Source: http://arxiv.org/abs/cond-mat/9912358v1

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47

Sep 22, 2013
09/13

by
C. Landim; J. Quastel; M. Salmhofer; H. T. Yau

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We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as $t^{1/4}$ in dimension $d=1$ and $(\log t)^{1/2}$ in $d=2$. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.

Source: http://arxiv.org/abs/math/0201317v1

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2.0

Jun 30, 2018
06/18

by
G. A. H. Schober; K. -U. Giering; M. M. Scherer; C. Honerkamp; M. Salmhofer

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The functional renormalization group (RG) in combination with Fermi surface patching is a well-established method for studying Fermi liquid instabilities of correlated electron systems. In this article, we further develop this method and combine it with mean-field theory to approach multiband systems with spin-orbit coupling, and we apply this to a tight-binding Rashba model with an attractive, local interaction. The spin dependence of the interaction vertex is fully implemented in a RG flow...

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1409.7087