Nested-Fermi-liquid theory

Virosztek, Attila; Ruvalds, J.

doi:10.1103/physrevb.42.4064

Cited by 262 publications

(128 citation statements)

References 17 publications

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“…The VHS model leads to both the self energy correction and the anomalous polarizability, the latter due to excitonic interactions of the holes and electrons simultaneously present at the VHS. While Viroszek and Ruvalds [215] initially chose a model wherein the nesting was well distinguished from a VHS, a more recent calculation [216] finds the strongest effects near a square Fermi surface at half filling -i.e., at a VHS. Moreover, calculations [217] for the Hubbard model also find Z → 0 only near half filling (i.e., at the VHS).…”

Section: Marginal Fermi Liquid Behaviormentioning

confidence: 99%

“…In searching for a microscopic origin for the anomalous self energy, two early candidates were a conventional Fermi surface nesting [215] and the VHS [29]. The VHS model leads to both the self energy correction and the anomalous polarizability, the latter due to excitonic interactions of the holes and electrons simultaneously present at the VHS.…”

Section: Marginal Fermi Liquid Behaviormentioning

confidence: 99%

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A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Markiewicz

1997

Journal of Physics and Chemistry of Solids

371

280

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The Van Hove singularity (VHS) provides a paradigm for the study of the role of peaks in the density of states (dos) on electronic properties. More importantly, it appears to play a major role in the physics of the high-Tc superconductors, particularly since recent photoemission studies have found that the VHS is close to the Fermi level in most of the high-Tc cuprates near the composition of optimum Tc. This paper offers a comprehensive survey of the VHS model, describing both theoretical properties and experimental evidence for the picture. Special topics discussed include a survey of the Fermi surfaces of the cuprates and related compounds, and an analysis of the reliability of the slave boson approach to correlation effects. While many properties of the cuprates can be qualitatively understood by a simple rigid-band-filling model, this is inadequate for more quantitative results, since correlation effects tend to pin the Fermi level near the VHS over an extended doping range, and can lead to a nanoscale phase separation. Furthermore, the peaks in the dos lead to competition from other instabilities, both magnetic and structural (related to charge density waves). A novel form of dynamic structural instability, involving dynamic VHS-Jahn-Teller effects has been predicted. Scattered through the literature, there is considerable experimental evidence for both nanoscale phase separation of holes, and for local, possibly dynamic, structural disorder. This review attempts to gather these results into a comprehensive database, to sort the results, and to see how they fit into the Van Hove scenario. Recent experiments on underdoped cuprates are found to provide a strong confirmation that the pseudogap is driven by a splitting of the VHS degeneracy.

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Section: Marginal Fermi Liquid Behaviormentioning

confidence: 99%

Section: Marginal Fermi Liquid Behaviormentioning

confidence: 99%

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Markiewicz

1997

Journal of Physics and Chemistry of Solids

371

280

View full text Add to dashboard Cite

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“…However, the knowledge of the exact shape of the FS of a material is very important since it may affect the transport properties as well as the collective behavior, and have valuable information from the point of view of theory in order to find the appropriate model to study the system. Many approaches have been used to study this problem such as mean field, 12,13 pertubation theory, 14 bosonization methods, 15,16 or perturbative renormalization group calculations, [17][18][19][20][21] and the cellular dynamical mean-field theory ͑CDMFT͒, an extension of dynamical mean field theory, 22 and many others. Despite great theoretical effort done in the last years, there is a need to develop alternative new methods in order to understand the origin of the electronic properties in materials with strong correlations.…”

Section: Introductionmentioning

confidence: 99%

Self-energy corrections to anisotropic Fermi surfaces

et al. 2006

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The electron-electron interactions affect the low-energy excitations of an electronic system and induce deformations of the Fermi surface. These effects are especially important in anisotropic materials with strong correlations, such as copper-oxide superconductors or ruthenates. Here we analyze the deformations produced by electronic correlations in the Fermi surface of anisotropic two-dimensional systems, treating the regular and singular regions of the Fermi surface on the same footing. Simple analytical expressions are obtained for the corrections, based on local features of the Fermi surface. It is shown that, even for weak local interactions, the behavior of the self-energy is nontrivial, showing a momentum dependence and a self-consistent interplay with the Fermi surface topology. Results are compared to experimental observations and to other theoretical results.

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“…At the X point and the midpoint between Γ and M ( π 2 , π 2 ) the self-energy shows a linear energy dependence. This "marginal Fermi liquid" behavior is a direct consequence of the perfect nesting properties (ǫ(k) ≈ ǫ(k + Q), where Q is a reciprocal lattice vector) of the 2D Fermi surface 43,44 at half filling. Electrons can be scattered efficiently due to the large phase space.…”

Section: A Qdos and Spectral Densitymentioning

confidence: 99%

Ferromagnetism and nonlocal correlations in the Hubbard model

Henning

Nolting

2012

Phys. Rev. B

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We study the possibility and stability of band-ferromagnetism in the single-band Hubbard model for the simple cubic (SC) lattice. A non-local self-energy is derived within a modified perturbation theory. Results for the spectral density and quasiparticle density of states are shown with special attention to the effects of k-dependence. The importance of non-local correlations for the fulfillment of the Mermin-Wagner theorem is our main result. A phase digram showing regions of ferromagnetic order is calculated for the three dimensional lattice. Besides, we show results for the optical conductivity and prove that already the renormalized one-loop contribution to the conductivity cancels the Drude peak exactly in case of a local self-energy which is not anymore true for a non-local self-energy.

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Nested-Fermi-liquid theory

Cited by 262 publications

References 17 publications

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Self-energy corrections to anisotropic Fermi surfaces

Ferromagnetism and nonlocal correlations in the Hubbard model

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