Robust $T$-Linear Resistivity due to SU(4) Valley + Spin Fluctuation Mechanism in Magic Angle Twisted Bilayer Graphene

Abstract

In the magic angle twisted bilayer graphene (MATBG), non-Fermi liquid like transport phenomena are universally observed. To understand their origin, we perform the self-consistent analysis of the self-energy due to SU(4) valley + spin fluctuations induced by the electron-electron correlation. In the SU(4) fluctuation mechanism, the fifteen channels of fluctuations contribute additively to the self-energy. Therefore, the SU(4) fluctuation mechanism gives much higher electrical resistance than the spin fluctuation mechanism. By the same reason, SU(4) fluctuations of intermediate strength provide $T$-linear resistivity down to $\sim 1$K. Interestingly, the $T$-linear resistivity is robustly realizedfor wide range of electron filling, even away from the van-Hove filling. This study provides a strong evidence for the importance of electron-electron correlation in MATBG.

arXiv comment11 pages, 9 figures

References in corpus (71)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Tuning superconductivity in twisted bilayer graphene
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Magic Angle Spectroscopy
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Orbital Fluctuation Mediated Superconductivity in Iron Pnictides: Analysis of Five Orbital Hubbard-Holstein Model
• Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Correlated states in twisted double bilayer graphene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Superconductivity in rhombohedral trilayer graphene
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Superconducting Dome in Nd${}_{1-x}$Sr${}_x$NiO${}_2$ Infinite Layer Films
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Correlated Insulating States in Twisted Double Bilayer Graphene
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Flavour Hund's Coupling, Correlated Chern Gaps, and Diffusivity in Moiré Flat Bands
• Tunable correlation-driven symmetry breaking in twisted double bilayer graphene
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Hall Effect and Resistivity in High-Tc Superconductors: The Conserving Approximation
• Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
• A Theory of the Longitudinal and Hall Conductivities of the Cuprate Superconductors
• Quantum critical behavior in magic-angle twisted bilayer graphene
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Character of the "normal state" of the nickelate superconductors
• Quantum textures of the many-body wavefunctions in magic-angle graphene
• Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
• Nematic superconductivity in twisted bilayer graphene
• Mechanism of exotic density-wave and beyond-Migdal unconventional superconductivity in kagome metal AV3Sb5 (A=K, Rb, Cs)
• Nematicity and magnetism in FeSe and other families of Fe-based superconductors
• Orbital Fluctuation-Induced Triplet Superconductivity : Mechanism of Superconductivity in ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$
• Non-Fermi liquid behavior in the magnetotransport of CeMIn5 (M: Co and Rh): Striking similarity between quasi 2D heavy fermion and high-Tc cuprates
• Sign-reversing orbital polarization in the nematic phase of FeSe due to the $C_2$ symmetry-breaking in the self-energy
• Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
• High-Tc superconductivity in FeSe at high pressure: Dominant hole carriers and enhanced spin fluctuations
• Origin of the Weak Pseudo-gap Behaviors in Na_{0.35}CoO_2: Absence of Small Hole Pockets
• Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
• Imaging inter-valley coherent order in magic-angle twisted trilayer graphene
• Normal-state Hall Angle and Magnetoresistance in quasi-2D Heavy Fermion CeCoIn_5 near a Quantum Critical Point
• Realization of Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Charge-loop current order and Z3 nematicity mediated by bond-order fluctuations in kagome metal AV3Sb5 (A=Cs,Rb,K)
• Effect of Nonmagnetic Impurity in Nearly Antiferromagnetic Fermi Liquid: Magnetic Correlations and Transport Phenomena
• Theory of Spin Fluctuation-Induced Superconductivity Based on a d-p Model. II. -Superconducting State-
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
• Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis
• Non-Fermi liquid transport in the vicinity of nematic quantum critical point of FeSe${}_{1-x}$S${}_x$ superconductor
• Origin of diverse nematic orders in Fe-based superconductors: 45${}^{\circ }$ rotated nematicity in AFe${}_2$As${}_2$ (A=Cs, Rb)
• Magnetoresistance in High-Tc Superconductors: The Role of Vertex Corrections
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Orbital order in FeSe - the case for vertex renormalization
• Drastic magnetic-field-induced chiral current order and emergent current-bond-field interplay in kagome metals
• A Rigorous Formalism of Unconventional Symmetry Breaking in Fermi Liquid Theory and Its Application to Nematicity in FeSe
• $SU(4)$ Valley + Spin Fluctuation Interference Mechanism for Nematic Order in Magic Angle Twisted Bilayer Graphene: Impact of Vertex Corrections
• Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in CeB6
• Strange metal behavior of the Hall angle in twisted bilayer graphene
• Hexadecapole fluctuation mechanism for s-wave heavy fermion superconductor CeCu2Si2: Interplay between intra- and inter-orbital Cooper pairs
• Fully gapped s-wave superconductivity enhanced by magnetic criticality in heavy fermion system
• General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory
• Charge order and Mott insulating ground states in small-angle twisted bilayer graphene
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference