Książka Functional renormalization for spontaneous symmetry breaking Simon Friederich

Functional renormalization for spontaneous symmetry breaking

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
201.51
The two-dimensional Hubbard model for interacting fermions on a square lattice is widely considered...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2011
strony
108
EAN
9783838124957
ISBN
3838124952
Enbook ID
06938360
Waga
168
Wymiary
152 x 229 x 7

Pełny opis

The two-dimensional Hubbard model for interacting fermions on a square lattice is widely considered as a promising approach for the understanding of Cooper pair formation in the high-Tc cuprates. In the present work this model is investigated by means of the functional renormalization group, based on an exact flow equation for the effective average action. In addition to the fermionic degrees of freedom, bosonic fields are introduced which correspond to different collective orders, for example magnetism and superconductivity. The interactions between bosons and fermions are determined by means of the method of flowing bosonization , describable as a continuous, scale- dependent Hubbard-Stratonovich transformation. This allows an efficient parameterization of the momentum- dependent effective interaction between fermions, and it makes it possible to follow the renormalization flow into the regimes with broken symmetries, where bosonic fluctuations determine the types of order which are present on large length scales. Numerical results for the phase diagram are presented, which include the mutual influence of the competing types of order.

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