Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

STRONG ELECTRONIC CORRELATIONS AND LOW ENERGY SCALES

Theoretische Physik

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

Oneofthemanyfascinatingaspectsofstronglycorrelatedelectronsystemsisthe appearanceoflowenergyscales: interestingphysicalphenomenaareobservedon anenergy(andtemperature)scalemuchlowerthane.g.localCoulombrepulsion, hybridization. etc. Well known examples are heavy fermion compounds and systemsinthevicinityofametal-insulatortransition. Thesephenomenacanbe describedusingsimple(butneverthelessstronglycorrelated)electronicmodels. Forthese models. the greatdifferenceinenergyscalesingeneralrepresentsa difficulttaskfor the theoretical investigation. Thenumerical renorrnalization groupmethodturnsouttobeaveryefficienttooltodealwiththeseproblems. ThismethodwasdevelopedbyWilsonfortheinvestigationoftheKondomodel andhasbeenrecently(successfully)appliedtolatticemodels(suchasHubbard modelandperiodicAndersonmodel)withinthedynamicalmeanfieldtheory.

Related papers

Effects of strong correlations on low-dimensional and multi-orbital electronic systems

Martin Indergand

•Jan 1, 2006•1 citation

Beyond Landau Quasiparticles: Unveiling Non-Fermi Liquid Behavior in Ultracold Atomic Gases

Revista, Zen, PHYSICS, 10

The paradigm of Landau Fermi liquid theory has successfully described the low-energy behavior of numerous metallic systems. However, a growing number of experimental observations in strongly correlated electron materials, such as high-temperature superconductors and heavy fermion compounds, defy this conventional description, exhibiting what is known as non-Fermi liquid (NFL) behavior. These exotic states lack well-defined quasiparticle excitations, displaying anomalous scaling laws and transport properties. Ultracold atomic gases have emerged as highly controllable quantum simulators for strongly correlated matter, offering unprecedented access to tunable interaction strengths, dimensionality, and lattice geometries. This paper explores the potential of ultracold fermionic gases to unveil and characterize NFL behavior. We review the theoretical underpinnings of Landau Fermi liquid theory and its breakdown, survey prominent theoretical models for NFL states, and highlight experimental techniques in ultracold atomic systems pertinent to their detection. Specific attention is given to phenomena such as the BCS-BEC crossover, quantum criticality, and pseudogap phases in ultracold fermions, where strong interactions are expected to lead to deviations from quasiparticle descriptions. We discuss experimental signatures like anomalous spectral functions, linear-in-temperature resistivity analogs, and deviations in thermodynamic properties, proposing how these could be observed and analyzed in current and future ultracold atom platforms. This research aims to leverage the purity and tunability of atomic gases to gain fundamental insights into the nature of NFL states, contributing to a broader understanding of quantum many-body physics beyond the conventional quasiparticle picture.

•Nov 28, 2025•0 citations

Renormalization-group studies of disordered magnetic systems, strongly correlated electonic systems, and polymeric systems

Gabriele Migliorini

•Jan 1, 1999•0 citations

INVESTIGATION OF ELECTRONIC CORRELATIONS

In Nanostructures

•Jan 1, 2003•0 citations

Strong Electronic Correlations and Low Energy Scales

R. Bulla, Thomas Pruschke

Springer eBooks•Jan 1, 2001•0 citations

INTEGRABLE SU (m|n) SUPERSYMMETRIC ELECTRONIC MODELS OF STRONG CORRELATIONS

JAMES T. LIU, D.F. WANG

We consider the SU (m|n) supersymmetric generalization of the one-dimensional SU (2|2) symmetric extended Hubbard model of 1/r2 interaction. This model, defined on a lattice, is part of a large family of integrable one-dimensional multicomponent systems with long range interactions. We study both uniform and nonuniform lattices and present the ground state wavefunctions and energy spectra of these models. In both cases the spectrum is highly degenerate, with the SU (m|n) supersymmetry explaining most of the degeneracies.

arXiv:cond-mat/9602093•International Journal of Modern Physics B•Dec 15, 1996•3 citations
Oneofthemanyfascinatingaspectsofstronglycorrelatedelectronsystemsisthe appearanceoflowenergyscales: interestingphysicalphenomenaareobservedon anenergy(andtemperature)scalemuchlowerthane.g.localCoulombrepulsion, hybridization. etc. Well known examples are heavy fermion compounds and systemsinthevicinityofametal-insulatortransition. Thesephenomenacanbe describedusingsimple(butneverthelessstronglycorrelated)electronicmodels. Forthese models. the greatdifferenceinenergyscalesingeneralrepresentsa difficulttaskfor the theoretical investigation. Thenumerical renorrnalization groupmethodturnsouttobeaveryefficienttooltodealwiththeseproblems. ThismethodwasdevelopedbyWilsonfortheinvestigationoftheKondomodel andhasbeenrecently(successfully)appliedtolatticemodels(suchasHubbard modelandperiodicAndersonmodel)withinthedynamicalmeanfieldtheory.
The paradigm of Landau Fermi liquid theory has successfully described the low-energy behavior of numerous metallic systems. However, a growing number of experimental observations in strongly correlated electron materials, such as high-temperature superconductors and heavy fermion compounds, defy this conventional description, exhibiting what is known as non-Fermi liquid (NFL) behavior. These exotic states lack well-defined quasiparticle excitations, displaying anomalous scaling laws and transport properties. Ultracold atomic gases have emerged as highly controllable quantum simulators for strongly correlated matter, offering unprecedented access to tunable interaction strengths, dimensionality, and lattice geometries. This paper explores the potential of ultracold fermionic gases to unveil and characterize NFL behavior. We review the theoretical underpinnings of Landau Fermi liquid theory and its breakdown, survey prominent theoretical models for NFL states, and highlight experimental techniques in ultracold atomic systems pertinent to their detection. Specific attention is given to phenomena such as the BCS-BEC crossover, quantum criticality, and pseudogap phases in ultracold fermions, where strong interactions are expected to lead to deviations from quasiparticle descriptions. We discuss experimental signatures like anomalous spectral functions, linear-in-temperature resistivity analogs, and deviations in thermodynamic properties, proposing how these could be observed and analyzed in current and future ultracold atom platforms. This research aims to leverage the purity and tunability of atomic gases to gain fundamental insights into the nature of NFL states, contributing to a broader understanding of quantum many-body physics beyond the conventional quasiparticle picture.
We consider the SU (m|n) supersymmetric generalization of the one-dimensional SU (2|2) symmetric extended Hubbard model of 1/r2 interaction. This model, defined on a lattice, is part of a large family of integrable one-dimensional multicomponent systems with long range interactions. We study both uniform and nonuniform lattices and present the ground state wavefunctions and energy spectra of these models. In both cases the spectrum is highly degenerate, with the SU (m|n) supersymmetry explaining most of the degeneracies.