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

References in corpus (26)

• The Kernel Polynomial Method
• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Green's function of a dressed particle
• The Green's Function of the Holstein Polaron
• Two-dimensional Hubbard-Holstein bipolaron
• Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Quantum Monte Carlo and variational approaches to the Holstein model
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Photoemission spectra of many-polaron systems
• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• On the validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fröhlich polaron
• Optical absorption and activated transport in polaronic systems
• Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
• Electron and phonon dispersions of the two dimensional Holstein model: Effects of vertex and non-local corrections
• Superlight small bipolarons
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Phase diagram of the Holstein polaron in one dimension
• Exact treatment of exciton-polaron formation by Diagrammatic Monte Carlo
• Spectral functions of the spinless Holstein model
• 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
• Lattice exciton-polaron problem by quantum Monte Carlo simulations

Cited by in corpus (184)

• Attractive and repulsive Fermi polarons in two dimensions
• Cold hybrid ion-atom systems
• Tailoring the nature and strength of electron-phonon interactions in the SrTiO${}_3$(001) two-dimensional electron liquid
• 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
• Polaronic effects in one- and two-band quantum systems
• Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
• Universal physics of bound states of a few charged particles
• One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling
• 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?
• Optical conductivity of V4O7 across its metal-insulator transition
• Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
• Magnon Bose-Einstein condensates: from time crystals and quantum chromodynamics to vortex sensing and cosmology
• Efficient variational approach to dynamics of a spatially extended bosonic Kondo model
• Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons
• On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics
• Electron pairing: from metastable electron pair to bipolaron
• The asymmetric quantum Rabi model in the polaron picture
• Intermolecular forces and correlations mediated by a phonon bath
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• Monotonicity of the polaron energy II:General theory of operator monotonicity
• Translational-invariant bipolarons and superconductivity
• Infrared study of the quasi-two-dimensional electron system at the interface between SrTiO${}_3$ and crystalline or amorphous LaAlO${}_3$
• Tkachenko polarons in vortex lattices
• Diamagnetism of real-space pairs above Tc in hole doped cuprates
• Possibility of a (bi)polaron high-temperature superconductivity in Poly A/ Poly T DNA duplexes
• The impurity problem in a bilayer system of dipoles
• Polaron Mass and Electron-Phonon Correlations in the Holstein Model
• Comments on "Translation-invariant bipolarons and the problem of high-temperature superconductivity"
• Mobile impurity in a one-dimensional gas at finite temperatures
• Effect of spin-orbit coupling on the zero-point renormalization of the electronic band gap in cubic materials: First-principles calculations and generalized Fröhlich model
• Polaronic polariton quasiparticles in a dark excitonic medium
• Manifestations of the electron-phonon interaction range in angle resolved photoemission spectra
• Superdiffusive nonequilibrium motion of an impurity in a Fermi sea
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• Renormalized energy of ground and first excited state of Fröhlich polaron in the range of weak coupling
• Effect of screening of the electron-phonon interaction on mass renormalization and optical conductivity of the Extended Holstein model polarons
• Diagrammatic description of a system coupled strongly to a bosonic bath
• 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
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian
• Tightly-bound and room-temperature-stable excitons in van der Waals degenerate-semiconductor Bi4O4SeCl2 with high charge-carrier density
• Disorder in order: Localization without randomness in a cold atom system
• Toward possibility of high-temperature bipolaronic superconductivity in boron tubular polymorph: Theoretical aspects of transition into anti-adiabatic state
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Counting edge modes via dynamics of boundary spin impurities
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Short-range antiferromagnetic correlation effect on conduction electrons in two-dimensional strongly correlated electron systems
• On the dynamics of the mean-field polaron in the weak-coupling limit
• Rotational cooling of molecules in a Bose-Einstein-Condensate
• Low temperature acoustic polaron localization
• Optical Signature of Flat Bands in Topological Hourglass Semimetal Nb3SiTe6
• One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
• Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons
• Polaron catastrophe within quantum acoustics
• Self-stabilized Bose polarons
• Contribution of interband effects caused by long-wavelength transverse optical phonons to electron-phonon coupling in doped polar insulators
• Feynman's path-integral polaron treatment approached using time-ordered operator calculus
• Electron addition spectral functions of low-density polaron liquids
• Periodically driven small polarons
• WaveTrain: A Python Package for Numerical Quantum Mechanics of Chain-Like Systems Based on Tensor Trains
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Adiabatic theory of the polaron spectral function
• Polaronic dressing of bound states
• Nature of extrinsic and intrinsic self-trapping of charge carriers in underdoped cuprate high-$T_{\text{c}}$ superconductors
• Dynamical response of ultracold interacting fermion-boson mixtures
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K
• Breathing dynamics of the Bose polaron in a species-selective harmonic trap
• Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime
• Generalized method of Feynman-Pines diagram technique in the theory of energy spectrum of two-level quasiparticle renormalized due to multi-phonon processes at cryogenic temperature
• Weak and strong coupling polarons in binary Bose-Einstein condensates
• Quark model of nucleon based on an analogy with polaron
• A mechanism for pair formation in strongly correlated systems
• Fröhlich-coupled qubits interacting with fermionic baths
• Giant electron-phonon coupling of the breathing plane oxygen phonons in the dynamic stripe phase of La${}_{1.67}$Sr${}_{0.33}$NiO${}_4$
• Optical response of the supersolid polaron
• Extending the Feynman variational principle and analytical methods to lattice polarons
• Symmetry-protected topological polarons
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
• Cumulant methods for electron-phonon problems. I. Perturbative expansions
• Analysis of Fröhlich bipolarons
• Solving the time-independent Schrödinger equation for chains of coupled excitons and phonons using tensor trains
• Bose Polaron in a quantum fluid of light
• Effective pair interaction between impurity particles induced by a dense Fermi gas
• Many-body Green's function approaches to the doped Fröhlich solid: Exact solutions and anomalous mass enhancement
• Dynamics of Holstein polaron in a chain with thermal fluctuations
• Bound excited states of Fröhlich polarons in one dimension