We investigate the orbital effects of a strong external magnetic field on the ground-state properties of a two-dimensional (2D) Holstein polaron, employing variational approaches based on exact diagonalization. From the ground-state energy and the wave function, we calculate the electron-phonon correlation function, the average phonon number, and the Drude weight and investigate the evolution of a 2D Holstein polaron as a function of the magnetic flux. Although the external magnetic field affects the polaron throughout the parameter regime, we show that the magnetic field has a stronger effect on a loosely bound (spatially extended) polaron. We also find that the magnetic field can be used as a tuning parameter, particularly for a weakly coupled polaron, to reduce the spatial extent of a large polaron.We investigate the orbital effects of a strong external magnetic field on the ground-state properties of a two-dimensional (2D) Holstein polaron, employing variational approaches based on exact diagonalization. From the ground-state energy and the wave function, we calculate the electron-phonon correlation function, the average phonon number, and the Drude weight and investigate the evolution of a 2D Holstein polaron as a function of the magnetic flux. Although the external magnetic field affects the polaron throughout the parameter regime, we show that the magnetic field has a stronger effect on a loosely bound (spatially extended) polaron. We also find that the magnetic field can be used as a tuning parameter, particularly for a weakly coupled polaron, to reduce the spatial extent of a large polaron.

arXiv:1506.07644Physical review. B./Physical review. BMar 3, 20165 citations

The Dynamics of Polarons

Eduardo C. Marino

Cambridge University Press eBooksOct 25, 20170 citations

Dynamics of a Strongly Coupled Polaron

Rupert L. Frank, Benjamin Schlein

arXiv:1311.5814Letters in Mathematical PhysicsMay 6, 201430 citations

Polaron Dynamics in a Quasi-Two-Dimensional Bose–Einstein Condensate

Sh. Mardonov, Bobir Toshmatov, Bobomurat J. Ahmedov +1 more

The concept of polaron quasiparticles was first introduced in the pioneering papers by Landau and Feynman in the 1930s and 1940s. It describes the phenomenon of an external particle producing a bound state in an embedded medium. Since then, the study of polaron quasiparticles has been an active area of research in condensed matter physics, with a wide range of applications in magnetic phenomena and lattice deformation properties. In this paper, we provide a comprehensive review of the polaron quasiparticle phenomenon, including its historical origins, theoretical developments, and current research. We also study the various applications of polaron quasiparticles in condensed matter physics, including in magnetic phenomena and lattice deformation properties. The review concludes with an outlook on future directions of research in this field. In particular, we study the motion of external embedded particles in a quasi-two-dimensional Bose–Einstein condensate confined by the quantum harmonic oscillator. We found that the dynamics of attracting particles with static Bose–Einstein condensate exhibit circular and precessional elliptic trajectories due to centripetal force. Polaron-forming embedded particles in the condensate lead to a strongly nonlinear trajectory of the polaron and dynamics of condensate depending on the initial parameters of the condensate and polaron.The concept of polaron quasiparticles was first introduced in the pioneering papers by Landau and Feynman in the 1930s and 1940s. It describes the phenomenon of an external particle producing a bound state in an embedded medium. Since then, the study of polaron quasiparticles has been an active area of research in condensed matter physics, with a wide range of applications in magnetic phenomena and lattice deformation properties. In this paper, we provide a comprehensive review of the polaron quasiparticle phenomenon, including its historical origins, theoretical developments, and current research. We also study the various applications of polaron quasiparticles in condensed matter physics, including in magnetic phenomena and lattice deformation properties. The review concludes with an outlook on future directions of research in this field. In particular, we study the motion of external embedded particles in a quasi-two-dimensional Bose–Einstein condensate confined by the quantum harmonic oscillator. We found that the dynamics of attracting particles with static Bose–Einstein condensate exhibit circular and precessional elliptic trajectories due to centripetal force. Polaron-forming embedded particles in the condensate lead to a strongly nonlinear trajectory of the polaron and dynamics of condensate depending on the initial parameters of the condensate and polaron.

UniverseFeb 8, 20230 citations

Intermediate Coupling Theory of a Polaron in External Fields

Kazuo Hattori

A new extension of the Lee, Low and Pines (L-L-P) method to the problem of a polaron weakly bound in a Coulomb potential and/or in a weak magnetic field is developed. The effective Hamiltonian of a polaron bound in a Coulomb potential is derived exactly to order P 4 . The validity of replacing P 2 by [ $P_{z}^{2}+eH{\hbar}(2n+1)/c$ ] in the field-free polaron energy E ( P 2 ) within the framework of the L-L-P method is shown in the limit of a weak magnetic field H along the z axis in the intermediate coupling case. The energies of a polaron in a Coulomb potential and subject to a weak magnetic field are also discussed.A new extension of the Lee, Low and Pines (L-L-P) method to the problem of a polaron weakly bound in a Coulomb potential and/or in a weak magnetic field is developed. The effective Hamiltonian of a polaron bound in a Coulomb potential is derived exactly to order P 4 . The validity of replacing P 2 by [$P_{z}^{2}+eH{\hbar}(2n+1)/c$] in the field-free polaron energy E ( P 2 ) within the framework of the L-L-P method is shown in the limit of a weak magnetic field H along the z axis in the intermediate coupling case. The energies of a polaron in a Coulomb potential and subject to a weak magnetic field are also discussed.

Journal of the Physical Society of JapanJan 15, 19759 citations

Aspects of Polaron Theory

Nikolay N. Bogolubov, Nikolay N. Bogolubov

WORLD SCIENTIFIC eBooksSep 1, 200831 citations

P_{z}^{2}+eH{\hbar}(2n+1)/c

] in the field-free polaron energy E ( P 2 ) within the framework of the L-L-P method is shown in the limit of a weak magnetic field H along the z axis in the intermediate coupling case. The energies of a polaron in a Coulomb potential and subject to a weak magnetic field are also discussed.