Physics of surfaces

Abstract

In this paper, we study charged spin-1/2 particles in two dimensions, subjected to a perpendicular non-Abelian magnetic field. Specializing to a choice of vector potential that is spatially constant but non-Abelian, we investigate the Landau level spectrum in planar and spherical geometry, paying particular attention to the role of the total angular momentum J = L + S. Then, we show that the adiabatic insertion of non-Abelian flux in a spin-polarized quantum Hall state leads to the formation of charged spin textures, which in the simplest cases can be identified with quantum Hall Skyrmions.

Electron-Hole Liquid in Monolayer Transition Metal Dichalcogenide Heterostructures

“…where Γ(x) is the Euler gamma function. This value is close to the factor in estimate (12). Note that estimate (12) in the limit ν → ∞ remains a lower bound for (12).…”

“…It is noteworthy that the corrections to E cor only slightly affect the results (red asterisks almost coincide with black points). At large ν values, the correlation energy tends to estimate (12). The same figure shows the numerically calculated dependence of the energy of the ground state E gs on ν.…”

“…(10) with the numerical solution of the equation for q 0 , and (black circles) E cor calculated taking into account corrections of the first and second orders with respect to the deviation of q 1 from q 0 (q 0 was determined numerically). The lower green horizontal straight line corresponds to estimate (12) and purple triangles are E gs values calculated by Eqs. (5)- (7) and (10).…”

“…These facts suggest that the arrays involving TMD monolayers are ideal systems for the studies of a hightemperature electron-hole liquid (EHL). The energy of one electron-hole pair in the EHL is |E EHL | ∼ E x and the critical temperature of the gas-liquid phase transition is T c ∼ 0.1 |E EHL | [12][13][14][15][16][17]; therefore, it can be expected that the EHL will be observed in TMD monolayers even at room temperature. In MoS 2 monolayers, a high-temperature strongly coupled EHL with T c ≃ 500 K has been already observed [18].…”

Non-exponential Auger decay

“…As it is seen from equation (12), the non-exponential component of the amplitude in an Auger process decays in time as slow as 1/2 t  . Hence, we conclude that because of slower decay rate, there is a stronger possibility to experimentally observe non-exponential behavior as compared with other discussed situations, for example, the hydrogen atom photoionization [16], amplification of non-Markovian decay due to bound state absorption into continuum [17], or tunnel ionization of atoms by high-intensity low-frequency laser field [6], in which the non-exponential amplitude at large times decays as 1 t  . A further quest is to identify systems, which would either display larger degree of non-exponentiality or offer more robust experimental observation conditions owing to the advanced controlling techniques developed at present time for these systems.…”