Froehlich Polaron and Bipolaron: Recent Developments

Abstract

It is remarkable how the Froehlich polaron, one of the simplest examples of a Quantum Field Theoretical problem, as it basically consists of a single fermion interacting with a scalar Bose field of ion displacements, has resisted full analytical or numerical solution at all coupling since 1950, when its Hamiltonian was first written. The field has been a testing ground for analytical, semi-analytical, and numerical techniques, such as path integrals, strong-coupling perturbation expansion, advanced variational, exact diagonalisation (ED), and quantum Monte Carlo (QMC) techniques. This article reviews recent developments in the field of continuum and discrete (lattice) Froehlich (bi)polarons starting with the basics and covering a number of active directions of research.

131 pages, 17 figures, 409 references, appear in Reports on Progress in Physics

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• The Green's Function of the Holstein Polaron
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• Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
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• The effect of pressure on statics, dynamics and stability of multielectron bubbles
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• Optical properties of small polarons from dynamical mean-field theory
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• On The Origin of the OZI Rule in QCD
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• Effects of lattice geometry and interaction range on polaron dynamics
• Photoemission spectra of many-polaron systems
• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• Small Bipolarons in the 2-dimensional Holstein-Hubbard Model. I The Adiabatic Limit
• Evidence for novel polaronic Fermi-liquid in doped oxides
• On the validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fröhlich polaron
• Photoluminescence of tetrahedral quantum-dot quantum wells
• Ground-state dispersion and density of states from path-integral Monte Carlo. Application to the lattice polaron
• Calculation of excited polaron states in the Holstein model
• The Anti-Jahn-Teller Polaron in LaMnO${}_3$
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Density and Pair Correlation Function of Confined Identical Particles: the Bose-Einstein Case
• Numerical solution of the Holstein polaron problem
• Theory of Superconducting $T_c$ of doped fullerenes
• Small adiabatic polaron with a long-range electron-phonon interaction
• Mobile Bipolarons in the Adiabatic Holstein-Hubbard Model in 1 and 2 dimensions
• Optical absorption and activated transport in polaronic systems
• Polaronic and nonadiabatic phase diagram from anomalous isotope effects
• Hall resistance in the hopping regime, a "Hall Insulator"?
• Melting of a Wigner Crystal in an Ionic Dielectric
• Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
• Self-Consistent Modification To The Electron Density Of States Due To Electron-Phonon Coupling In Metals
• Numerical study of the $E\otimes e$ Jahn-Teller polaron and bipolaron
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
• Correlations in a Confined gas of Harmonically Interacting Spin-Polarized Fermions
• Comparison of perturbative expansions using different phonon bases for two-site Holstein model
• Electron and phonon dispersions of the two dimensional Holstein model: Effects of vertex and non-local corrections
• Orbital ac spin-Hall effect in the hopping regime
• Lattice dynamics effects on small polaron properties
• Photoemission spectroscopy and sum rules in dilute electron-phonon systems
• Superlight small bipolarons
• Free energy of the Fröhlich polaron in two and three dimensions
• Comment on `Dynamical properties of small polarons'
• Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator and polaronic semiconductor
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Phase diagram of the Holstein polaron in one dimension
• Polaron Crossover in Molecular Solids
• Single-particle spectral function of the Holstein-Hubbard bipolaron
• Wigner lattice of ripplopolarons in a multielectron bubble in helium
• Ground state and optical conductivity of interacting polarons in a quantum dot
• Exact treatment of exciton-polaron formation by Diagrammatic Monte Carlo
• Polaron features for long-range electron-phonon interaction
• Spectral functions of the spinless Holstein model
• Interplay between Spin and Phonon Fluctuations in the double-exchange model for the manganites
• Isotope effect on the electron band structure of doped insulators
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• Optical properties of polaronic excitons in stacked quantum dots
• Quantum Monte Carlo results for bipolaron stability in quantum dots
• Solution of the Holstein polaron anisotropy problem
• Effects of electron-phonon coupling range on the polaron formation
• Noisy Monte Carlo revisited
• Quantum Gravity near Apparent Horizon and Two Dimensional Dilaton Gravity
• Green's and spectral functions of the small Frolich polaron
• Ground state features of the Frohlich model
• Lang-Firsov approaches to polaron physics: From variational methods to unbiased quantum Monte Carlo simulations
• Lattice exciton-polaron problem by quantum Monte Carlo simulations
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• Spectroscopic Properties of Polarons in Strongly Correlated Systems by Exact Diagrammatic Monte Carlo Method
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Cited by in corpus (184)

• Attractive and repulsive Fermi polarons in two dimensions
• Cold hybrid ion-atom systems
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• Feynman path-integral treatment of the BEC-impurity polaron
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Impurity in a Bose-Einstein condensate: study of the attractive and repulsive branch using quantum Monte-Carlo methods
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• Common Fermi-liquid origin of T-squared resistivity and superconductivity in n-type SrTiO3
• Origin of the crossover from polarons to Fermi liquids in transition metal oxides
• Creation of Rydberg Polarons in a Bose Gas
• Electron-Phonon Scattering in the Presence of Soft Modes and Electron Mobility in SrTiO${}_3$ Perovskite from First Principles
• Fermi polarons in two dimensions
• Ab initio theory of polarons: formalism and applications
• Polarons from first principles, without supercells
• Evidence of large polarons in photoemission band mapping of the perovskite semiconductor CsPbBr${}_3$
• A mesoscopic Rydberg impurity in an atomic quantum gas
• Predominance of non-adiabatic effects in zero-point renormalization of the electronic band gap
• Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
• Carrier Lifetimes and Polaronic Mass Enhancement in the Hybrid Halide Perovskite CH${}_3$NH${}_3$PbI${}_3$ from Multiphonon Fröhlich Coupling
• Many-body large polaron optical conductivity in SrTi${}_{1-x}$Nb${}_x$O${}_3$
• Analytical approach to the Bose polaron problem in one dimension
• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quasiparticles and phonon satellites in spectral functions of semiconductors and insulators: Cumulants applied to full first principles theory and Fröhlich polaron
• Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
• Dynamic interfacial polaron enhanced superconductivity of FeSe/SrTiO3
• Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• An optical lattice with sound
• Possible "Magnéli" phases and self-alloying in the superconducting sulfur hydride
• Fast Green's function method for ultrafast electron-boson dynamics
• Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
• Predicting charge transport in the presence of polarons: The beyond-quasiparticle regime in SrTiO${}_3$
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Polarons in two-dimensional atomic crystals
• Polaronic mass renormalization of impurities in BEC: correlated Gaussian wavefunction approach
• Ordered phases in the Holstein-Hubbard model: Interplay of strong Coulomb interaction and electron-phonon coupling
• Strong energy-momentum dispersion of phonon-dressed carriers in the lightly doped band insulator SrTiO${}_3$
• Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
• Polarons and slow quantum phonons
• Electrons doped in cubic perovskite SrMnO3: isotropic metal versus chainlike ordering of Jahn-Teller polarons
• Theory of a resonantly interacting impurity in a Bose-Einstein condensate
• Polarons in a Dipolar Condensate
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• The impact of the injection protocol on an impurity's stationary state
• Long-range interactions and symmetry-breaking in quantum gases through optical feedback
• Non-hydrogenic excitons in perovskite CH${}_3$NH${}_3$PbI${}_3$
• Using the Environment to Understand non-Markovian Open Quantum Systems
• Many Fermi polarons at nonzero temperature
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Unified ab initio description of Fröhlich electron-phonon interactions in two-dimensional and three-dimensional materials
• Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
• From non equilibrium quantum Brownian motion to impurity dynamics in 1D quantum liquids
• Quantum Brownian Motion with Inhomogeneous Damping and Diffusion
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Bloch oscillations of bosonic lattice polarons
• Ground-state properties of Dipolar Bose polarons
• The polaron paradigm: a dual coupling effective band model
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field
• Non-Markovian polaron dynamics in a trapped Bose-Einstein condensate
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Efimov States of Heavy Impurities in a Bose-Einstein Condensate
• Dynamics of a strongly coupled polaron
• Polaronic signatures and spectral properties of graphene antidot lattices
• Analyticity of The Ground State Energy For Massless Nelson Models
• Coexistence of excited polarons and metastable delocalized states in photo-induced metals
• Optical Properties of (SrMnO3)n/(LaMnO3)2n superlattices: an insulator-to-metal transition observed in the absence of disorder
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Verwey transition in single magnetite nanoparticles
• Time-linear scaling NEGF methods for real-time simulations of interacting electrons and bosons. II. Dynamics of polarons and doublons
• On the nature of the optical conductivity of polaron
• Spectroscopic probes of quantum many-body correlations in polariton microcavities
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• On the dynamics of polarons in the strong-coupling limit
• Many-body Green's function theory for electron-phonon interactions: ground state properties of the Holstein dimer
• New theoretical approaches to Bose polarons
• Derivation of an effective evolution equation for a strongly coupled polaron
• Mobile impurity in a Fermi sea from the functional renormalization group analytically continued to real time
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Fröhlich polaron effective mass and localization length in cubic materials: degenerate and anisotropic electronic bands
• Low temperature acoustic polaron localization
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Propagation of self-localised Q-ball solitons in the ${}^3$He universe
• Emergence of a sharp quantum collective mode in a one-dimensional Fermi polaron
• 2D surprises at the surface of 3D materials: confined electron systems in transition metal oxides
• A translation invariant bipolaron in the Holstein model and superconductivity
• Quantum-limited thermometry of a Fermi gas with a charged spin particle
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• Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
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• Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
• Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors
• Strong electron-phonon coupling and carrier self-trapping in Sb${}_2$S${}_3$
• Quantum simulation of extended polaron models using compound atom-ion systems
• Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Observation of $1/k^4$-tails after expansion of Bose-Einstein Condensates with impurities
• BEC-Polaron gas in a boson-fermion mixture : a many-body extension of Lee-Low-Pines theory
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
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• Monotonicity of the polaron energy II:General theory of operator monotonicity
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• Effect of screening of the electron-phonon interaction on mass renormalization and optical conductivity of the Extended Holstein model polarons
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• Mirror as polaron with internal degrees of freedom
• Switchable Electric Dipole from Polaron Localization in Dielectric Crystals
• The quantum scale invariance in graphene-like quantum electrodynamics
• Bipolarons and polarons in the Holstein-Hubbard model: Analogies and differences
• The Holstein Polaron Problem Revisited
• Mass of a lattice polaron from extended Holstein model using Yukawa potential
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• General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian
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• Symmetry-protected topological polarons
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
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• Analysis of Fröhlich bipolarons
• Solving the time-independent Schrödinger equation for chains of coupled excitons and phonons using tensor trains
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• Effective pair interaction between impurity particles induced by a dense Fermi gas
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• Bound excited states of Fröhlich polarons in one dimension