Chen et al. reply

Landau-Zener tunneling problem for Bloch states

“…The Landau-Zener (LZ) problem gives a simple description for the nonadiabatic transition between two levels [1][2][3] . Two-state systems are ubiquitously obtained, and this problem has been studied in various quantum systems, e.g., optical systems 4,5 , bosonic systems [6][7][8] , chemical bonds 9,10 , and Zener breakdown with metal-insulator transitions of semiconductors [11][12][13][14][15][16][17] .…”

Stacked Janus Device Concepts: Abrupt pn-Junctions and Cross-Plane Channels

“…1,2 Other recent relevant examples include how the stacking environment of 2D materials can be used to tune properties like the optical gap, 3,4 mobility, 5 interlayer excitons 6,7 and local doping. 8,9 One key focus has so far been to find TMD's with different band gaps. 10 However, the properties of Janus MoSSe are far more interesting than simply an expected band gap in between the two out-of-plane symmetric parents (MoS 2 and MoSe 2 ).…”

A Quantum Representation of the Homogeneous 5D Manifold and the Perelman Mappings of 5D onto Non-Homogeneous Lorentz 4D Manifolds

“…Take the Milky Way, as example, the closed ec loops, would then generate a dipolar magnetic field Hz′ , that is tilted to the galactic plane. Hence, all charges trapped within this Hz′ field created by the closed ec loops around the galactic core will give raise to a tilted radiation belt as is well known in the Milky Way to astronomers [20]. Except these trapped charges cannot spiral into the poles, unlike those charged particles in the earth's radiation belt because of the non-symmetric gravity changes for the doughnut geometry.…”

“…In short, the electron mass m(e) is created by the 2D mono- and M −  with high energies above the electron and quark mass must preserve the equal numbers of electrons and protons, causing atomic ionization and nuclear fission, which upon thermal cooling afterward can lead to new nuclear fusion and the changes in the element composition in its matter shell, it means a planet, like earth, which star the sun revolves on the 4D Lorentz doughnut manifold would necessarily encounters intense periodic cosmic storms from the galactic core, the period length is equal to the revolving period of the star around the galactic center, which normally would be of the scale of millions of years. Such intense ec loop currents around the galactic core creating Hz′ tilted to the galactic plane [20] as it cannot be aligned to the Lz states discussed earlier in section 2, that causes the stars to spiral outward from the core, would create the radiation belts at z′ equatorial plane that in turn produces huge magnetic and atmospheric storms as earth revolves around the galaxy and enters, exists the radiation belt that would in turn severely affects its climatic pattern, including active volcanic eruptions inducing continental shifts during the early years of the solar system when the density of charge particles was more intense and even "ice age", when it gets out of the belt, such effects are far more intense than any changes in the contend of green house gas, such as CO 2 within the planet's atmosphere. Due to this cosmic effect on our earth's climate exists, recent climate changes on earth as solely due to human created CO 2 effect cannot be considered as conclusive.…”