Supermetal

Abstract

We study the effect of electron interaction in an electronic system with a high-order Van Hove singularity, where the density of states shows a power-law divergence. Owing to scale invariance, we perform a renormalization group (RG) analysis to find a nontrivial metallic behavior where various divergent susceptibilities coexist but no long-range order appears. We term such a metallic state as a supermetal. Our RG analysis reveals noninteracting and interacting fixed points, which draws an analogy to the ${\varphi }^4$ theory. We further present a finite anomalous dimension at the interacting fixed point by a controlled RG analysis, thus establishing an interacting supermetal as a non-Fermi liquid.

33 pages, 11 figures

References in corpus (16)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Magic Angle Spectroscopy
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Critical fermi surfaces and non-fermi liquid metals
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Kohn-Luttinger superconductivity in graphene
• D-wave correlated Critical Bose Liquids in two dimensions
• A New Type of Quantum Criticality in the Pyrochlore Iridates
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Multicritical Fermi surface topological transitions
• A controlled expansion for certain non-Fermi liquid metals
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
• Normal state ${}^{17}$O NMR studies of Sr${}_2$RuO${}_4$ under uniaxial stress

Cited by in corpus (41)

• Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene
• Nematic superconductivity in twisted bilayer graphene
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Direct Observation of a Uniaxial Stress-driven Lifshitz Transition in Sr${}_2$RuO${}_4$
• Competing orders at higher-order Van Hove points
• Classification of Critical Points in Energy Bands Based on Topology, Scaling and Symmetry
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Catastrophe theory classification of Fermi surface topological transitions in two dimensions
• Higher-order van Hove singularity in magic-angle twisted trilayer graphene
• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Transport across twist angle domains in moiré graphene
• Spin-valley locked instabilities in moire transition metal dichalcogenides with conventional and higher-order Van Hove singularities
• Orbital susceptibility of T-graphene: Interplay of high-order van Hove singularities and Dirac cones
• High-order Van Hove singularities and their connection to flat bands
• Moiré lattice effects on the orbital magnetic response of twisted bilayer graphene and Condon instability
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Resonant multigap superconductivity at room temperature near a Lifshitz topological transition in sulfur hydrides
• A practical method to detect, analyse and engineer higher order Van Hove singularities in multi-band Hamiltonians
• Enhanced nematicity emerging from higher-order van Hove singularities
• Pairing at a single Van Hove point
• Engineering spectral properties of non-interacting lattice Hamiltonians
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Fate of density waves in the presence of a higher order van Hove singularity
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Single monkey-saddle singularity of a Fermi surface and its instabilities
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Scale free distribution of oxygen interstitials wires in optimum doped HgBa${}_2$CuO${}_{4+y}$
• Semiclassical transport with Berry curvature: Chambers formula and applications to systems with Fermi surface topological transitions
• Inversion and Tunability of Van Hove Singularities in $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) kagome metals
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Robust topological superconductivity in spin-orbit coupled systems at higher-order van Hove filling
• Visualizing near-coexistence of massless Dirac electrons and ultra-massive saddle point electrons
• Moiré surface states and enhanced superconductivity in topological insulators
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Exact solutions of Kondo problems in higher-order fermions