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Two-dimensional (2D) materials exhibit a wide range of remarkable phenomena, many of which owe their existence to the relativistic spin-orbit coupling (SOC) effects. To understand and predict properties of materials containing heavy…

The nonlocal correlation mechanism between excitonic pairs is considered for a two dimensional exciton system. On the base of the unitary decomposition of the usual electron operator, we include the electron phase degrees of freedom into…

Strongly Correlated Electrons · Physics 2015-08-04 V. Apinyan , T. K. Kopeć

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor M. Villalba , Ramiro Pino

Monolayer transition metal dichalcogenides (TMDs) exhibit a remarkably strong Coulomb interaction that manifests in tightly bound excitons. Due to the complex electronic band structure exhibiting several spin-split valleys in the conduction…

Transition metal dichalcogenide (TMDC) monolayer has recently emerged as an important two-dimensional semiconductor with promising potentials for electronic and optoelectronic devices. Unlike semi-metallic graphene, layered TMDC has a…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Ziliang Ye , Ting Cao , Kevin O'Brien , Hanyu Zhu , Xiaobo Yin , Yuan Wang , Steven G. Louie , Xiang Zhang

Perovskites have attracted much attention due to their remarkable optical properties. While it is well established that excitons dominate their optical response, the impact of higher excitonic states and formation of phonon sidebands in…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 David Feldstein , Raul Perea-Causin , Shuli Wang , Mateusz Dyksik , Kenji Watanabe , Takashi Taniguchi , Paulina Plochocka , Ermin Malic

Reflectance and magneto-reflectance experiments together with theoretical modelling based on the $\mathbf{k\cdot p}$ approach have been employed to study the evolution of direct bandgap excitons in MoS$_2$ layers with a thickness ranging…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 A. O. Slobodeniuk , Ł. Bala , M. Koperski , M. R. Molas , P. Kossacki , K. Nogajewski , M. Bartos , K. Watanabe , T. Taniguchi , C. Faugeras , M. Potemski

We present a comprehensive theoretical description of quantum well exciton-polaritons imbedded in a planar semiconductor microcavity. The exact non-local dielectric response of the quantum well exciton is treated in detail. The 4-spinor…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 Gu Xu , Dingzhou Li , Bingshen Wang , Zhao-bin Su

We present $\mathbf{k}\cdotp\mathbf{p}$ Hamiltonians parametrised by {\it ab initio} density functional theory calculations to describe the dispersion of the valence and conduction bands at their extrema (the $K$, $Q$, $\Gamma$, and $M$…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Andor Kormányos , Guido Burkard , Martin Gmitra , Jaroslav Fabian , Viktor Zólyomi , Neil D. Drummond , Vladimir Fal'ko

Various properties of interlayer excitons in double-layer transition metal dichalcogenides quantum dots are analyzed using a low-energy effective Hamiltonian with Coulomb interaction. We solve the single-particle Hamiltonian with and…

Mesoscale and Nanoscale Physics · Physics 2024-08-15 Xiang Liu , Zheng Tao , Wenchen Luo , Tapash Chakraborty

Reduced exciton mass, polarizability, and dielectric constant of the surrounding medium are essential properties for semiconducting materials, and they have been extracted recently from the magnetoexciton energies. However, the acceptable…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Duy-Nhat Ly , Dai-Nam Le , Duy-Anh P. Nguyen , Ngoc-Tram D. Hoang , Ngoc-Hung Phan , Hoang-Minh L. Nguyen , Van-Hoang Le

In this study, we analyze the bound-state energy spectrum of quark-antiquark systems using the semiclassical WKB approximation. We consider the Cornell potential, which combines a linear confinement term with a Coulombic interaction, and…

High Energy Physics - Phenomenology · Physics 2025-08-11 Bhaskar Jyoti Hazarika , Tanmay Dev

We performed high-throughput density functional theory calculations of optical matrix elements between band edges across a diverse set of non-magnetic two-dimensional monolayers with direct band gaps. Materials were ranked as potential…

Materials Science · Physics 2025-08-15 A. F. Gómez-Bastidas , Karthik Sriram , A. C. Garcia-Castro , Oleg Rubel

We propose an analytical approach for calculating the linear and nonlinear optical (NLO) responses of monolayer transition metal dichalcogenides (TMDs) including excitonic effects. An effective Hamiltonian reproducing the trigonal warping…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Alireza Taghizadeh , T. G. Pedersen

The spectrum of the Dirac oscillator perturbed by the Coulomb potential is considered. The Regge trajectories for its bound states are obtained with the method of $\hbar$-expansion. It is shown that the split of the degenerate energy levels…

Atomic Physics · Physics 2007-05-23 D. A. Kulikov , R. S. Tutik

In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the…

Quantum Physics · Physics 2021-04-27 Z. Zali , Alireza Amani , J. Sadeghi , B. Pourhassan

Excitons in monolayer semiconductors have large optical transition dipole for strong coupling with light field. Interlayer excitons in heterobilayers, with layer separation of electron and hole components, feature large electric dipole that…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Wei-Ting Hsu , Bo-Han Lin , Li-Syuan Lu , Ming-Hao Lee , Ming-Wen Chu , Lain-Jong Li , Wang Yao , Wen-Hao Chang , Chih-Kang Shih

The monolayer transition metal dichalcogenides are an emergent semiconductor platform exhibiting rich excitonic physics with coupled spin-valley degree of freedom and optical addressability. Here, we report a new series of low energy…

We develop an interpolating self-energy approach to the correlated Kondo-lattice model. The correlation of the band electrons is taken into account by a Hubbard interaction. The method is based on a self-energy ansatz, the structure of…

Strongly Correlated Electrons · Physics 2009-11-07 W. Nolting , G. G. Reddy , A. Ramakanth , D. Meyer , J. Kienert

Excitonic effects in the linear optical response of semiconductors are well-known and the subject of countless experimental and theoretical studies. For the technologically important second order nonlinear response, however, description of…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas G. Pedersen , Horia D. Cornean