The Future of the Correlated Electron Problem
arXiv:2010.00584 · doi:10.21468/SciPostPhysCommRep.8
Abstract
A central problem in modern condensed matter physics is the understanding of materials with strong electron correlations. Despite extensive work, the essential physics of many of these systems is not understood and there is very little ability to make predictions in this class of materials. In this manuscript we share our personal views on the major open problems in the field of correlated electron systems. We discuss some possible routes to make progress in this rich and fascinating field. This manuscript is the result of the vigorous discussions and deliberations that took place at Johns Hopkins University during a three-day workshop January 27, 28, and 29, 2020 that brought together six senior scientists and 46 more junior scientists. Our hope, is that the topics we have presented will provide inspiration for others working in this field and motivation for the idea that significant progress can be made on very hard problems if we focus our collective energies.
70 pages, 19 figures
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- An upper bound on transport
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- Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
- Magnetic Monopole Noise
- Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
- Experimental Demonstration of the Sign Reversal of the Order Parameter in (Li1-xFex)OHFe1-yZnySe
- Discovering correlated fermions using quantum Monte Carlo
- Magnetic torque anomaly in the quantum limit of the Weyl semi-metal NbAs
- Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
- An organizing principle for two-dimensional strongly correlated superconductivity
- Nature of the randomness-induced quantum spin liquids in two dimensions
- Superconductivity in the PbO-type Structure alpha-FeSe
- Breakdown of One-Paramater Scaling in Quantum Critical Scenarios for the High-Temperature Copper-oxide Superconductors
- Berry phase in Magnetic Superconductors
- Dynamical synchronization transition in interacting electron systems
- Two Bounds on the Maximum Phonon-Mediated Superconducting Transition Temperature
- Electron scattering, charge order, and pseudogap physics in LaNdSrCuO: An angle resolved photoemission spectroscopy study
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- Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
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- Crystallographic splitting theorem for band representations and fragile topological photonic crystals
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- Condensation Energy and Spectral Functions in High Temperature Superconductors
- Inequivalence of Single-Particle and Population Lifetimes in a Cuprate Superconductor
- Record-High Proximity-Induced Anomalous Hall Effect in (BiSb)2Te Thin Film Grown on CrGeTe Substrate
- Hall effect and Fermi surface reconstruction via electron pockets in the high- cuprates
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- Linear magnetoresistance in the low-field limit in density-wave materials
- On the limitations of cRPA downfolding
- Observation of non-gaussian conductance fluctuations at low temperatures in Si:P(B) at the metal-insulator transition
- Local magnetism and spin correlations in the geometrically frustrated cluster magnet LiZnMoO
- Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
- Universal linear and nonlinear electrodynamics of the Dirac fluid
- A flow equation approach to periodically driven quantum systems
- Weak Antilocalization and Linear Magnetoresistance in The Surface State of SmB6
- Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
- Anomalous 3D bulk AC conduction within the Kondo gap of SmB single crystals
- Three-Dimensional Majorana Fermions in Chiral Superconductors
- Coherent Transmutation of Electrons into Fractionalized Anyons
- Electrical probes of the non-Abelian spin liquid in Kitaev materials
- Effective Floquet Hamiltonian in the low-frequency regime
- Crossover of Charge Fluctuations across the Strange Metal Phase Diagram
- Deriving models for the Kitaev spin-liquid candidate material -RuCl from first principles
- Sublattice Coding Algorithm and Distributed Memory Parallelization for Large-Scale Exact Diagonalizations of Quantum Many-Body Systems
- Universal fluctuations of Floquet topological invariants at low frequencies
- New Chiral Phases of Superfluid 3He Stabilized by Anisotropic Silica Aerogel
- Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
- Theory of the Strange Metal SrRuO
- Current-induced giant diamagnetism in the Mott insulator Ca2RuO4
- Infrared Conductivity of Elemental Bismuth under Pressure: Evidence for an Avoided Lifshitz-Type Semimetal-Semiconductor Transition
- Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7
- Linear magnetoresistance in HgTe quantum wells
- Remarkable Stability of Charge Density Wave Order in LaBaCuO
- Correlation between scale-invariant normal state resistivity and superconductivity in an electron-doped cuprate
- Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
- Polynomial complexity despite the fermionic sign
- Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
- Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions
- Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
- Detailed band structure of twinned and detwinned BaFeAs studied with angle-resolved photoemission spectroscopy
- P-type doping of elemental bismuth with indium, gallium and tin: a novel doping mechanism in solids
- Temperature-dependent ellipsometry measurements of partial Coulomb energy in superconducting cuprates
- Infrared and Terahertz Spectroscopy of Strongly Correlated Electron Systems under Extreme Conditions
- Local Hamiltonians for quantitative Green's function embedding methods
- No Evidence for Orbital Loop Currents in Charge Ordered YBaCuO from Polarized Neutron Diffraction
- -linear resistivity in models with local self-energy
- In-situ strain tuning of the Dirac surface states in Bi2Se3 films
- Randomness induced spin-liquid-like phase in the spin- triangular Heisenberg model
- Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective
- Discovery of the soft electronic modes of the trimeron order in magnetite
- Bad metallic transport in a modified Hubbard model
- On the Planckian bound for heat diffusion in insulators
- Dynamics of correlation-frozen antinodal quasiparticles in superconducting cuprates
- Deconfinement transition and dimensional crossover in the Bechgaard-Fabre salts: pressure- and temperature-dependent optical investigations
- The Superfluid Glass Phase of 3He-A
- Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference
- Mapping the Electronic Structure of Each Ingredient Oxide Layer of High- Cuprate Superconductor Bi2Sr2CaCu2O8+δ
- Unveiling contextual realities by microscopically entangling a neutron
- Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
- Time-Domain Terahertz Spectroscopy in High Magnetic Fields
- Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
- Resistivity bound for hydrodynamic bad metals
- Thermal Diffusivity Above Mott-Ioffe-Regel Limit
- Field-induced QCD-Chern-Simons quantum criticalities in Kitaev materials
- From real materials to model Hamiltonians with density matrix downfolding
- Symmetry of the Excitations in the Hidden Order State of URu2Si2
- Full Momentum and Energy Resolved Spectral Function of a 2D Electronic System
- Measurement of Filling-Factor-Dependent Magnetophonon Resonances in Graphene Using Raman Spectroscopy
- The fate of interaction-driven topological insulators under disorder
- Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
- Density-matrix based determination of low-energy model Hamiltonians from ab initio wavefunctions
- Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points
- Precision Search for Magnetic Order in the Pseudogap Regime of La2-xSrxCuO4 by Muon Spin Relaxation
- Persistent low-energy phonon broadening near the charge order -vector in bilayer cuprate BiSrCaCuO
- Nonequilibrium Orbital Transitions via Applied Electrical Current in Calcium Ruthenate
- Exascale Deep Learning for Scientific Inverse Problems
- Variational optimization in the AI era: Computational Graph States and Supervised Wave-function Optimization
- Probing excitations in insulators via injection of spin-currents
- Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals
- Properties of the donor impurity band in mixed valence insulators
- Electrodynamics of a Coulomb Glass in n-type Silicon
- Tunable excitonic insulator in quantum limit graphite
- Phase-sensitive evidence for the sign-reversal s+- symmetry of the order parameter in an iron-pnictide superconductor using Nb/Ba1-xNaxFe2As2 Josephson junctions
- Optical injection and terahertz detection of the macroscopic Berry curvature
- Floquet engineering correlated materials with unpolarized light
- Vortex phase diagram and the normal state of cuprates with charge and spin orders
- Competing orders in pyrochlore magnets from a spin liquid perspective
- A low-temperature scanning tunneling microscope capable of microscopy and spectroscopy in a Bitter magnet at up to 34 T
- Spin--lattice coupling and the emergence of the trimerized phase in the Kagome antiferromagnet NaTiCl
- Sleuthing Hidden Order
- Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
- High-Pressure Laser Floating Zone Furnace
- Direct imaging of orbitals in quantum materials
- 40-tesla pulsed-field cryomagnet for single crystal neutron diffraction
- Spatially inhomogeneous electron state deep in the extreme quantum limit of strontium titanate
- Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
- Magnetism and local structure in low-dimensional, Mott insulating GdTiO3
- Field-Induced Gap in a Quantum Spin-1/2 Chain in a Strong Magnetic Field
- Coincidence angle-resolved photoemission spectroscopy: Proposal for detection of two-particle correlations
- Origin of Ising magnetism in Ca3Co2O6 unveiled by orbital imaging
- Imaging pinning and expulsion of individual superconducting vortices in amorphous MoSi thin films
- Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
- Surface and bulk electronic structure of unconventional superconductor Sr_2RuO_4: unusual splitting of the beta-band
- Doped Kondo chain, a heavy Luttinger liquid
- Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
- Noise Correlations in time- and angular-resolved photoemission spectroscopy
- Accessing the Full Superconducting Dome in Pristine YBa2Cu3O6+x Under Pressure
- Ultrafast (but Many-Body) Relaxation in a Low-Density Electron Glass
- Many-body dynamics and gap opening in interacting periodically driven systems
- Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
- Destroying coherence in high temperature superconductors with current flow
- Single-parameter scaling in the magnetoresistance of optimally doped LaSrCuO
- Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
- Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
- Strongly-coupled quantum critical point in an all-in-all-out antiferromagnet
- Quantum noise detects Floquet topological phases
- Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
- Combined computational and experimental investigation of the La-Cu-S-O quaternary system
- Giant Spin Gap and Magnon Localization in the Disordered Heisenberg Antiferromagnet Sr2Ir1-xRuxO4
- Scaling Behaviour of Low-Temperature Orthorhombic Domains in Prototypical High-Temperature Superconductor LaBaCuO
- Low-energy phonons in BiSrCaCuO and their possible interaction with electrons measured by inelastic neutron scattering
- Tuning alloy disorder in diluted magnetic semiconductors in high fields to 89 T
- Strong correlations at topological insulator surfaces and the breakdown of the bulk-boundary correspondence
- Magnetic structure in U(Ru0.92Rh0.08)2Si2 single crystal studied by neutron diffraction in static magnetic fields up to 24 T
- Hybrid Dispersion Dirac semimetal and Hybrid Weyl phases in Luttinger Semimetals: A dynamical approach
- High-Pressure Evolution of the Specific Heat of a Strongly Underdoped Ba(Fe0.963Co0.037)As2 Iron-Based Superconductor
- Superconductivity mystery turns 25
- Real-space imaging and flux noise spectroscopy of magnetic dynamics in HoTiO
- Magnetic Quantum Phase Transitions in a Clean Dirac Metal
- Signature of Unconventional Superconductivity in a Copper-based Metal-Organic Framework with Perfect Kagome Structure
- Giant and Linear Magnetoresistance in Liquid Metals at Ambient Temperature