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For any central potential V in D dimensions, the angular Schroedinger equation remains the same and defines the so called hyperspherical harmonics. For non-central models, the situation is more complicated. We contemplate two examples in…

Quantum Physics · Physics 2009-11-10 Miloslav Znojil

Strong spin-orbit coupling in transition metal dichalcogenide (TMDC) monolayers results in spin resolvable band structures about the $K$ and $K'$ valleys such that the eigenbasis of a 2D quantum dot (QD) in a TMDC monolayer in zero field is…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Matthew Brooks , Guido Burkard

Potential-NRQCD offers an effective-theory based approach to heavy-quark physics. While meson Q-anti_Q computations are tractable in pure alpha_s-perturbation theory, more complex many-body quark systems transcend it. A possibility…

Nuclear Theory · Physics 2013-04-15 Felipe J. Llanes-Estrada , Olga I. Pavlova , Richard Williams

The application of the hyperspherical harmonic approach to the case of non-local two-body potentials is described. Given the properties of the hyperspherical harmonic functions, there are no difficulties in considering the approach in both…

Nuclear Theory · Physics 2011-08-17 M. Viviani , L. E. Marcucci , S. Rosati , A. Kievsky , L. Girlanda

Monolayer (1L) transition metal dichalcogenides (TMDCs) are attractive materials for several optoelectronic applications because of their strong excitonic resonances and valley-selective response. Valley excitons in 1L-TMDCs are formed at…

Optics · Physics 2018-05-30 Alex Krasnok , Andrea Alu

We theoretically investigate the corrections of exciton binding energy in monolayer transition metal dichalcogenides (TMDs) due to the exciton-optical phonon coupling in the Fr$\ddot{o}$hlich interaction model by using the linear operator…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Zi-Wu Wang , Yao Xiao , Wei-Ping Li , Run-Ze Li , Zhi-Qing Li

Transition metal dichalcogenides (TMDs) are promising candidates for a wide variety of ultrascaled electronic, quantum computation, and optoelectronic applications. The exponential decay of electronic density of states into the bandgap,…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Prasad Sarangapani , James Charles , Tillmann Kubis

We study possible superconducting states in transition metal dichalcogenide (TMD) monolayers, assuming an on-site pairing potential that includes both intra- and inter-orbital terms. We find that if the mirror symmetry with respect to the…

Superconductivity · Physics 2021-09-24 Gilad Margalit , Erez Berg , Yuval Oreg

We use the Tridiagonal Representation Approach (TRA) to obtain exact bound states solution (energy spectrum and wavefunction) of the Schr\"odinger equation for a three-parameter short-range potential with 1/r, 1/r^2 and 1/r^3 singularities…

Quantum Physics · Physics 2019-07-08 A. D. Alhaidari

Excitons in monolayer transition-metal dichalcogenides (TMDs) have garnered significant attention because of their large binding energies due to weakly screened Coulomb interaction, and direct bandgap at the K/K$^\prime$ point in the…

The emerging possibilities to steer and control electronic motion on subcycle time scales with strong electric fields enable studying the nonperturbative optical response and Bloch bands' topological properties, originated from Berry's…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Hamed Koochaki Kelardeh

The combination of repulsive and attractive Coulomb interactions in a quantum electron(e)-hole(h) fluid can give rise to novel correlated phases of multiparticle charge complexes such as excitons, trions and biexcitons. Here we report the…

Monolayer molybdenum disulfide (MoS$_2$) has emerged as an excellent 2D model system because of its two inequivalent, direct-gap valleys that lead to exotic bound and excited states. Here we focus on one such bound state, the negatively…

Materials Science · Physics 2016-06-01 Jason W. Christopher , Bennett B. Goldberg , Anna K. Swan

In van der Waals heterostructures of two-dimensional transition-metal dichalcogenides (2D TMDCs) electron and hole states are spatially localized in different layers forming long-lived interlayer excitons. Here, we have investigated, from…

Materials Science · Physics 2020-11-03 Muhammad S. Ramzan , Jens Kunstmann , Agnieszka B. Kuc

The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three- and four-body nuclei are calculated with AV6 and AV14 NN potentials.…

Nuclear Theory · Physics 2009-11-07 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

Recent experimental progress has established the twisted bilayer transition metal dichalcogenide (TMD) as a highly tunable platform for studying many-body physics. Particularly, the homobilayer TMDs under displacement field are believed to…

Strongly Correlated Electrons · Physics 2023-11-14 Feng Chen , D. N. Sheng

The optical spectra of transition metal dichalcogenide (TMDC) monolayers are dominated by excitons and trions. Here we establish the dependences of these optical transitions on disorder from hyperspectral imaging of h-BN encapsulated…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Jue Wang , Christina Manolatou , Yusong Bai , James Hone , Farhan Rana , Xiaoyang Zhu

We present the TRIDK code, which is written in Python, that solves Triad Reduced Interactions for a Drift Kinetic system of equations. The four-dimensional drift kinetic system of equations captures nonlinear electromagnetic (or…

Plasma Physics · Physics 2021-09-27 Evgeny A. Gorbunov , Bogdan Teaca

Twisted multilayers of two-dimensional (2D) materials are an increasingly important platform for investigating quantum phases of matter, and in particular, strongly correlated electrons. The moir\'e pattern introduced by the relative twist…

Materials Science · Physics 2023-01-11 Mattia Angeli , Gabriel R. Schleder , Efthimios Kaxiras

A one-dimensional system of bosons interacting with contact and single-Gaussian forces is studied with an expansion in hyperspherical harmonics. The hyperradial potentials are calculated using the link between the hyperspherical harmonics…

Nuclear Theory · Physics 2017-10-03 N. K. Timofeyuk , D. Baye