We study effects of electron correlation on the transport through a small interacting system connected to reservoirs using an effective Hamiltonian which describes the free quasi-particles of a Fermi liquid. The effective Hamiltonian is defined microscopically with the value of the self-energy at ω = 0. Specifically, we apply the method to a Hubbard chain of finite size N (= 1, 2, 3, . . .), an...

Positively charged cluster ions of phosphorus were formed upon electron ionization doped helium nanodroplets. The vapors red and a phosphate sample picked up into neutral Independent on the conditions used, size distributions exhibit pronounced odd-even oscillations that are opposite to almost all experimental theoretical patterns published in literature. low temperature environment superfluid ...

Branch mispredictions is an important factor affecting the running time in practice. In this paper we consider tradeoffs between the number of branch mispredictions and the number of comparisons for sorting algorithms in the comparison model. We prove that a sorting algorithm using O(dn log n) comparisons performs Ω(n log d n) branch mispredictions. We show that Multiway MergeSort achieves this...

We scrutinize the XENON1T electron recoil excess in scalar-singlet-extended dark matter effective field theory. confront it with various astrophysical and laboratory constraints both a general setup more specific, recently proposed, variant leptophilic $Z_2$-odd mediators. The latter also provide mass to light leptons via suppressed $Z_2$ breaking, structure that is well fitting nature of obser...

A bilayer electron system that is formed in a 60-nm-wide GaAs quantum well and has large difference of the densities layers been studied. It found that, when magnetic field tilted from normal to plane system, integer Hall effect states at filling factors Landau levels 1 2 disappear; instead, fractional interval between these appear ν F = 4/3, 10/7, 6/5 with odd denominators factor 5/4. Several ...

Odd-electron a + 1 radical ions generated in the 157 nm photodissociation of peptide ions were investigated in an ion trap mass spectrometer. To localize the radical, peptide backbone amide hydrogens were replaced with deuterium. When the resulting radical ions underwent hydrogen elimination, no H/D scrambling was obvious, suggesting that without collisional activation, the radical resides on t...

Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the r...