Topological disorder triggered by interaction-induced flattening of electron spectra in solids

Abstract

We address the intervention of classical-like behavior, well documented in experimental studies of strongly correlated electron systems of solids that emerges at temperatures $T$ far below the Debye temperature $T_D$. We attribute this unexpected phenomenon to spontaneous rearrangement of the conventional Landau state beyond a critical point at which the topological stability of this state breaks down, leading to the formation of an interaction-induced flat band adjacent to the nominal Fermi surface. We demonstrate that beyond the critical point, the quasiparticle picture of such correlated Fermi systems still holds, since the damping of single-particle excitations remains small compared with the Fermi energy $T_F=p_F^2/2m_e$. A Pitaevskii-style equation for determination of the rearranged quasiparticle momentum distribution $n_{\ast }(\mathbf{p})$ is derived, which applies to explanation of the linear-in-$T$ behavior of the resistivity $\rho (T)$ found experimentally.

arXiv comment5 pages, 3 figures, Supplemental Material

References in corpus (31)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Tuning superconductivity in twisted bilayer graphene
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Flat Bands in Slightly Twisted Bilayer Graphene
• Continuum Model of the Twisted Bilayer
• Strange metal in magic-angle graphene with near Planckian dissipation
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Scattering and Pairing in Cuprate Superconductors
• Superconductivity and Quantum Criticality in CeCoIn_5
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Flat bands in topological media
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Graphite, graphene and the flat band superconductivity
• Theory of a Planckian metal
• Robustness of the van Hove scenario for high-Tc superconductors
• Condensation, excitation, pairing, and superfluid density in high-$T_c$ superconductors: magnetic resonance mode as a roton analogue and a possible spin-mediated pairing
• Topology of the Fermi Surface Beyond the Quantum Critical Point
• Recent development of chaos theory in topological dynamics
• Introducing strong correlation effects into graphene by gadolinium intercalation
• Sr3Ru2O7: Thermodynamics of Phase Formation in a Quantum Critical Metal
• Dimensional crossover of quantum critical behavior in CeCoIn${}_5$
• Challenging Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal CeCoIn5
• Quasi-classical physics and T-linear resistivity in both strongly correlated and ordinary metals
• Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
• Second wind of the Dulong-Petit Law at a quantum critical point
• Entropy paradox in strongly correlated Fermi systems
• Fermion condensation, $T$-linear resistivity and Planckian limit
• Impact of $e-e$ interactions on the superfluid density of dirty superconductors
• Toward a topological scenario for high-temperature superconductivity of copper oxides

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