Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling

Rohe, Daniel Peter; Metzner, Walter

doi:10.1103/physrevb.71.115116

Cited by 57 publications

(76 citation statements)

References 33 publications

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“…If the singularity occurs in the vicinity of the Fermi level, strong modifications of the low-energy and temperature properties are still expected due to a pinning effect. 26,[34][35][36][37][38] In the present work we show that the non-Fermi liquid signatures which were encountered in previous studies [18][19][20][21][22][23][24][25][26][27][28][29][30][31] of the self-energy and transport properties can also occur in the paramagnetic phase of a strongly correlated metal within DMFT. We use the two-dimensional square lattice with nearest and nextnearest neighbor hopping, t and t ′ respectively.…”

Section: 32supporting

confidence: 75%

“…30,31 Crucial for these anomalies to occur is the renormalization of the two-particle interaction vertex. Within DMFT all local n-particle vertices and their renormalizations are included.…”

Section: Square Lattice a Half-fillingmentioning

confidence: 99%

“…[18][19][20][21][22][23][24][25][26][27][28][29][30][31] This should be contrasted to nested Fermi liquids, 3 where due to the nesting property of the Fermi surface the phase space volume for low-energy scattering is also strongly enhanced and unusual low-energy properties emerge as well.…”

Section: Introductionmentioning

confidence: 99%

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Non-Fermi-liquid signatures in the Hubbard model due to van Hove singularities

Schmitt

2010

Phys. Rev. B

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When a van-Hove singularity is located in the vicinity of the Fermi level, the electronic scattering rate acquires a non-analytic contribution. This invalidates basic assumptions of Fermi liquid theory and within treatments based on perturbation theory leads to a non-Fermi liquid self-energy and transport properties. Such anomalies are shown to also occur in the strongly correlated metallic state within dynamical mean-field theory. We consider the Hubbard model on a two-dimensional square lattice with nearest and next-nearest neighbor hopping within the single-site dynamical mean-field theory. At temperatures on the order of the low-energy scale T0 an unusual maximum emerges in the imaginary part of the self-energy which is renormalized towards the Fermi level for finite doping. At zero temperature this double-well structure is suppressed, but an anomalous energy dependence of the self-energy remains. For the frustrated Hubbard model on the square lattice with next-nearest neighbor hopping, the presence of the van Hove singularity changes the asymptotic low temperature behavior of the resistivity from a Fermi liquid to non-Fermi liquid dependency as function of doping. The results of this work are discussed regarding their relevance for high-temperature cuprate superconductors.

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Section: 32supporting

confidence: 75%

Section: Square Lattice a Half-fillingmentioning

confidence: 99%

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Non-Fermi-liquid signatures in the Hubbard model due to van Hove singularities

Schmitt

2010

Phys. Rev. B

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“…Further investigations revealed that the resulting self-energy is also very anisotropic [48,49,50,51]. This work stimulated Ossadnik and coworkers [52] to undertake an extensive FRG study of the doping and temperature dependence of the quasiparticle scattering rate under conditions such that the pairing instability suppressed.…”

Section: Experimental Investigations and Theoretical Models Of The Brmentioning

confidence: 94%

A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates

2011

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Abstract. The theoretical description of the anomalous properties of the pseudogap phase in the underdoped region of the cuprate phase diagram lags behind the progress in spectroscopic and other experiments. A phenomenological ansatz, based on analogies to the approach to Mott localization at weak coupling in lower dimensional systems, has been proposed by Yang, Rice and Zhang [Phys. Rev. B 73 (2006),174501]. This ansatz has had success in describing a range of experiments. The motivation underlying this ansatz is described and the comparisons to experiment are reviewed. Implications for a more microscopic theory are discussed together with the relation to theories that start directly from microscopic strongly coupled Hamiltonians.arXiv:1109.0632v1 [cond-mat.str-el]

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“…The anisotropy of the quasiparticle lifetime was found to have a non-Fermiliquid temperature dependence and to correlate with the strength of the generated d-wave pairing interaction (Ossadnik et al, 2008), similar to what is observed experimentally in overdoped cuprates. More refined studies of the frequency-dependence revealed, however, that a simple parametrization in terms of a quasiparticle weight is insufficient (Katanin and Kampf, 2004;Rohe and Metzner, 2005). It was shown that near Λ * , the small-|ω|-behavior of Σ Λ (ω, k) leads to a split-up of the quasiparticle peak.…”

Section: Flows With Self-energy Effectsmentioning

confidence: 99%

Functional renormalization group approach to correlated fermion systems

et al. 2012

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Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon lowering the energy scale, collective phenomena, bound states, and new effective degrees of freedom emerge. Typical examples include (i) competing magnetic, charge, and pairing instabilities in two-dimensional electron systems, (ii) the interplay of electronic excitations and order parameter fluctuations near thermal and quantum phase transitions in metals, (iii) correlation effects such as Luttinger liquid behavior and the Kondo effect showing up in linear and non-equilibrium transport through quantum wires and quantum dots. The functional renormalization group is a flexible and unbiased tool for dealing with such scale-dependent behavior. Its starting point is an exact functional flow equation, which yields the gradual evolution from a microscopic model action to the final effective action as a function of a continuously decreasing energy scale. Expanding in powers of the fields one obtains an exact hierarchy of flow equations for vertex functions. Truncations of this hierarchy have led to powerful new approximation schemes. This review is a comprehensive introduction to the functional renormalization group method for interacting Fermi systems. We present a self-contained derivation of the exact flow equations and describe frequently used truncation schemes. Reviewing selected applications we then show how approximations based on the functional renormalization group can be fruitfully used to improve our understanding of correlated fermion systems.

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Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling

Cited by 57 publications

References 33 publications

Non-Fermi-liquid signatures in the Hubbard model due to van Hove singularities

Non-Fermi-liquid signatures in the Hubbard model due to van Hove singularities

A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates

Functional renormalization group approach to correlated fermion systems

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