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- A A Katanin, A P Kampf
- Physical review letters
- 2004

Using the one-loop functional renormalization group technique, we evaluate the self-energy in the weak-coupling regime of the 2D t-t(') Hubbard model. At van Hove (vH) band fillings and at low temperatures, the quasiparticle weight along the Fermi surface (FS) continuously vanishes on approaching the (pi,0) point where the quasiparticle concept is invalid.… (More)

- V Yu Irkhin, A A Katanin
- 1999

Isotropic S = 1/2 quasi-one-dimensional antiferromagnets are considered within the bosonization method. The 1/z ⊥-corrections to the interchain mean-field theory (where z ⊥ is the number of nearest neighbors in transverse to chain directions) are obtained for the ground-state sublattice magnetization S 0 and Neel temperature T N. The corrections to T N make… (More)

- A. A. Katanin, A. P. Kampf
- 2003

Phase diagrams of the two-dimensional one-band t-tЈ Hubbard model are obtained within the two-patch and temperature-cutoff many-patch renormalization group approaches. At small tЈ and at van Hove band fillings antiferromagnetism dominates, while with increasing tЈ or changing filling antiferromagnetism is replaced by d-wave superconductivity. Near tЈϭt/2… (More)

- A. P. Kampf, A. A. Katanin
- 2003

The phase diagram of the two-dimensional extended one-band U-V-J Hubbard model is considered within a mean-field approximation and two-and many-patch renormalization-group ͑RG͒ approaches near the Van Hove band fillings. At small tЈ and JϾ0, mean-field and many-patch RG approaches give similar results for the leading spin-density-wave ͑SDW͒ instability,… (More)

- A. A. Katanin, A. P. Kampf
- 2004

We discuss the low-temperature behavior of the electronic self-energy in the vicinity of a ferromagnetic instability in two dimensions within the two-particle self-consistent approximation, functional renormalization group and Ward-identity approaches. Although the long-range magnetic order is absent at T > 0, the self-energy has a non-Fermi liquid form at… (More)

- G Rohringer, A Toschi, A Katanin, K Held
- Physical review letters
- 2011

By means of the dynamical vertex approximation (DΓA) we include spatial correlations on all length scales beyond the dynamical mean-field theory (DMFT) for the half-filled Hubbard model in three dimensions. The most relevant changes due to nonlocal fluctuations are (i) a deviation from the mean-field critical behavior with the same critical exponents as for… (More)

- V Yu Irkhin, A A Katanin
- 1998

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models and of quantum φ 4 model is established. A scaling analysis is performed for the ground-state properties. The… (More)

- C Taranto, S Andergassen, +5 authors A Toschi
- Physical review letters
- 2014

We present a novel scheme for an unbiased, nonperturbative treatment of strongly correlated fermions. The proposed approach combines two of the most successful many-body methods, the dynamical mean field theory and the functional renormalization group. Physically, this allows for a systematic inclusion of nonlocal correlations via the functional… (More)

- V Yu Irkhin, A A Katanin, M I Katsnelson
- Physical review letters
- 2002

The pinning of the Fermi level to the Van Hove singularity and the formation of flat bands in the two-dimensional t-t' Hubbard model is investigated by the renormalization group technique. The "Van Hove" scenario of non-Fermi-liquid behavior for high-T(c) compounds can take place in a broad enough range of the hole concentrations. The results are in… (More)

- S L Skornyakov, A A Katanin, V I Anisimov
- Physical review letters
- 2011

In this Letter we report the local density approximation with dynamical mean field theory results for magnetic properties of the parent superconductor LaFeAsO in the paramagnetic phase. Calculated uniform magnetic susceptibility shows linear dependence at intermediate temperatures in agreement with experimental data. Contributions to the temperature… (More)