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Nonlinear optical responses provide a powerful way to understand the microscopic interactions between laser fields and matter. They are critical for plenty of applications, such as in lasers, integrated photonic circuits, biosensing and…

The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a pair potential that is translation invariant both in space and time. An important problem in this…

Probability · Mathematics 2021-06-14 Volker Betz , Steffen Polzer

The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are…

Strongly Correlated Electrons · Physics 2007-05-23 O. S. Barisic

We study in detail the first three leading terms of the large coupling-strength limit of the adiabatic connection that has as weak-interaction expansion the M{\o}ller-Plesset perturbation theory. We first focus on the H atom, both in the…

We calculate the optical conductivity of superconductors in the strong-coupling limit. In this anomalous limit the typical energy scale is set by the coupling energy, and other energy scales such as the energy of the bosons mediating the…

Condensed Matter · Physics 2009-10-28 R. Combescot , O. V. Dolgov , D. Rainer , S. V. Shulga

We study the interplay of electron-electron and electron-phonon interactions in the course of electron-hole bound state formation for gapped solid state systems. Adapting the essentially approximation-free diagrammatic Monte Carlo method…

Strongly Correlated Electrons · Physics 2018-01-31 A. S. Mishchenko , G. De Filippis , V. Cataudella , N. Nagaosa , H. Fehske

The continuous progress in fabricating low-dimensional systems with large spin-orbit couplings has reached a point in which nowadays materials may display spin-orbit splitting energies ranging from a few to hundreds of meV. This situation…

Strongly Correlated Electrons · Physics 2015-05-13 C. Grimaldi

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…

Superconductivity · Physics 2015-05-13 Jozef Devreese , Sasha Alexandrov

We consider how electron-phonon interaction influences the insulator-metal transitions driven by doping in the strongly correlated system. Using the polaronic version of the generalized tight-binding method, we investigate a multiband…

Strongly Correlated Electrons · Physics 2021-11-09 E. I. Shneyder , M. V. Zotova , S. V. Nikolaev , S. G. Ovchinnikov

The formation of Frohlich polaron in metal halide perovskites, arising from the charge carrierlongitudinal optical (LO) phonon coupling, has been proposed to explain their exceptional properties, but the effective identification of polaron…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Yu Cui , Xiao-Yi Liu , Xu-Fei Ma , Jia-Pei Deng , Yi-Yan Liu , Zhi-Qing Li , Zi-Wu Wang

We propose an analytical procedure to fully solve a two-level system coupled to phonons. Instead of using the common formulation in terms of linear and quadratic system-phonon couplings, we introduce different phonons depending on the…

Quantum Physics · Physics 2019-01-10 Aurélia Chenu , Shiue-Yuan Shiau , Monique Combescot

We present the numerically exact ground state energy, effective mass, and isotope exponents of a one-dimensional lattice polaron, valid for any range of electron-phonon interaction, applying a new continuous-time Quantum Monte Carlo (QMC)…

Strongly Correlated Electrons · Physics 2009-11-10 P. E. Spencer , J. H. Samson , P. E. Kornilovitch , A. S. Alexandrov

Fr\"{o}hlich's polaron Hamiltonian describes an electron coupled to the quantized phonon field of an ionic crystal. We show that in the strong coupling limit the dynamics of the polaron is approximated by an effective non-linear partial…

Mathematical Physics · Physics 2017-03-08 Rupert L. Frank , Zhou Gang

Attractive electron correlations due to an electron-vibron interaction (EVI) can overcome the direct Coulomb repulsion of polarons in strongly deformable molecular quantum dots (MQDs). If it realizes, a switching appears in the I-V…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. S. Alexandrov , A. M. Bratkovsky

We present a theoretical framework to describe polarons from first principles within a many-body Green's function formalism. Starting from a general electron-phonon Hamiltonian, we derive a self-consistent Dyson equation in which the…

We present a theory of optical conductivity in systems with finite-momentum Cooper pairs. In contrast to the BCS pairing where AC conductivity is purely imaginary in the clean limit, there is nonzero AC absorption across the superconducting…

Superconductivity · Physics 2017-01-18 Zhehao Dai , Patrick A. Lee

Grusdt et al. [New J. Phys. 19, 103035 (2017)] recently made a renormalization group study of a one-dimensional Bose polaron in cold atoms. Their study went beyond the usual Frohlich description, which includes only single-phonon processes,…

Quantum Gases · Physics 2018-10-17 Ben Kain , Hong Y. Ling

Strong correlation can be essentially captured with multireference wavefunction methods such as complete active space self-consistent field (CASSCF) or density matrix renormalization group (DMRG). Still, an accurate description of the…

Strongly Correlated Electrons · Physics 2022-04-06 Daria Drwal , Pavel Beran , Michał Hapka , Marcin Modrzejewski , Adam Sokół , Libor Veis , Katarzyna Pernal

Disentangling reaction mechanisms in weakly bound nuclei remains a long-standing challenge, often compounded by the treatment of absorption as an incoherent sum of channel contributions. Within the Continuum-Discretized Coupled-Channels…

Nuclear Theory · Physics 2026-01-21 Hao Liu , Jin Lei , Zhongzhou Ren

We study the crossover from quasi free electron to small polaron in the Holstein model for a single electron by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice. We show that the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Capone S. Ciuchi , C. Grimaldi
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