Wigner transformation,momentum space topology,and anomalous transport

Using derivative expansion applied to the Wigner transform of the two- point Green function we analyse the anomalous quantum Hall effect (AQHE), and the chiral magnetic effect (CME). The corresponding currents are proportional to the momentum space topological invariants. We reproduce the conventional expression for the Hall conductivity in 2+1$2+1$ D. In 3+1$3+1$ D our analysis allows to explain systematically the AQHE in topological insulators and Weyl semimetals. At the same time using this method it may be proved, that the equilibrium CME is absent in the wide class of solids, as well as in the properly regularized relativistic quantum field theory.     

Reprint of : Flux sensitivity of quantum spin Hall rings

We analyze the periodicity of persistent currents in quantum spin Hall loops, partly covered with an s-wave superconductor, in the presence of a flux tube. Much like in normal (non-helical) metals, the periodicity of the single-particle spectrum goes from ${\Phi }_0=h/e$ to ${\Phi }_0/2$ as the length of the superconductor is increased past the coherence length of the superconductor. We further analyze the periodicity of the persistent current, which is a many-body effect. Interestingly, time reversal symmetry and parity conservation can significantly change the period. We find a 2Φ₀-periodic persistent current in two distinct regimes, where one corresponds to a Josephson junction and the other one to an Aharonov–Bohm setup.     

The Weak 3D Topological Insulator Bi12Rh3Sn3I9

Topological insulators (TIs) gained high interest due to their protected electronic surface states that allow dissipation-free electron and information transport. In consequence, TIs are recommended as materials for spintronics and quantum computing. Yet, the number of well-characterized TIs is rather limited. To contribute to this field of research, we focused on new bismuth-based subiodides and recently succeeded in synthesizing a new compound Bi₁₂Rh₃Sn₃I₉, which is structurally closely related to Bi₁₄Rh₃I₉ – a stable, layered material. In fact, Bi₁₄Rh₃I₉ is the first experimentally supported weak 3D TI. Both structures are composed of well-defined intermetallic layers of _∞²[(Bi₄Rh)₃I]²⁺ with topologically protected electronic edge-states. The fundamental difference between Bi₁₄Rh₃I₉ and Bi₁₂Rh₃Sn₃I₉ lies in the composition and the arrangement of the anionic spacer. While the intermetallic 2D TI layers in Bi₁₄Rh₃I₉ are isolated by _∞¹[Bi₂I₈]²⁻ chains, the isoelectronic substitution of bismuth(III) with tin(II) leads to _∞²[Sn₃I₈]²⁻ layers as anionic spacers. First transport experiments support the 2D character of this material class and revealed metallic conductivity.     

Topological insulator nanostructures and devices

Topological insulators＇ properties and their potential device applications are reviewed. We also explain why topologi- cal insulator （TI） nanostructnres are an important avenue for research and discuss some methods by which TI nanostructures are produced and characterized. The rapid development of high-quality TI nanostructures provides an ideal platform to ex- ploit salient physical phenomena that have been theoretically predicted but not yet experimentally realized.     

Real time study of the change in surface composition of insulators under electron bombardment

Abstract

We present a new real time technique to study the change in surface composition of solids, particularly insulators, due to electron bombardment. Secondary Ion Mass Spectrometry is used to monitor the surface composition during erosion by an electron beam. The technique is illustrated for LiNbO₃ and NaCl targets. We observe a preferential loss of oxygen in the case of LiNbO₃ and an alkali-metal enriched surface layer for NaCl.     

声学蜂窝结构中的拓扑角态

高阶拓扑绝缘体是近年来发现的一类具有特殊拓扑相的新型拓扑绝缘体,目前已在光学、声学等多种经典波系统中实现.本文采用数值模拟方法研究了一种二维声学蜂窝结构,通过调节胞内和胞间耦合波导管,使体能带发生反转诱导拓扑相变,进而利用拓扑相构建出声学二阶拓扑绝缘体.蜂窝结构的拓扑性质可以用量子化的四极矩Q_ij表征,当Q_ij=0时,系统是平庸的;而当Q_ij=1/2时,系统是拓扑的.基于该蜂窝结构,分别研究了六边形和三角形结构的声学高阶态,在两种构型的蜂窝结构中均观测到了孤立的零维角态,研究结果表明只有存在钝角的六边形结构对缺陷具有鲁棒性,受拓扑保护.本文的拓扑角态丰富了高阶拓扑绝缘体的研究,同时可为紧凑声学系统中的鲁棒限制声提供一条新途径.     

L‐Tryptophan‐Induced Electron Transport across Supported Lipid Bilayers: an Alkyl‐Chain Tilt‐Angle,and Bilayer‐Symmetry Dependence

Molecular orientation‐dependent electron transport across supported 1,2‐dipalmitoyl‐sn‐glycero‐3‐phosphocholine (DPPC) lipid bilayers (SLBs) on semiconducting indium tin oxide (ITO) is reported with an aim towards potential nanobiotechnological applications. A bifunctional strategy is adopted to form symmetric and asymmetric bilayers of DPPC that interact with L ‐tryptophan, and are analyzed by surface manometry and atomic force microscopy. Polarization‐dependent real‐time Fourier transform infrared reflection absorption spectroscopy (FT‐IRRAS) analysis of these SLBs reveals electrostatic, hydrogen‐bonding, and cation–π interactions between the polar head groups of the lipid and the indole side chains. Consequently, a molecular tilt arises from the effective interface dipole, facilitating electron transport across the ITO‐anchored SLBs in the presence of an internal Fe(CN)₆^4?/3? redox probe. The incorporation of tryptophan enhances the voltammetric features of the SLBs. The estimated electron‐transfer rate constants for symmetric and asymmetric bilayers (k_s=2.0×10^?2 and 2.8×10^?2 s^?1) across the two‐dimensional (2D) ordered DPPC/tryptophan SLBs are higher compared to pure DPPC SLBs (k_s=3.2×10^?3 and 3.9×10^?3 s^?1). In addition, they are molecular tilt‐dependent, as it is the case with the standard apparent rate constants ${k_{{\rm{app}}}^0 }$ , estimated from electrochemical impedance spectroscopy and bipotentiostatic experiments with a Pt ultramicroelectrode. Lower magnitudes of k_s and ${k_{{\rm{app}}}^0 }$ imply that electrochemical reactions across the ITO–SLB electrodes are kinetically limited and consequently governed by electron tunneling across the SLBs. Standard theoretical rate constants ${\left( {k_{{\rm{th}}}^0 } \right)}$ accrued upon electron tunneling comply with the potential‐independent electron‐tunneling coefficient β=0.15 Å^?1. Insulator–semiconductor transitions moving from a liquid‐expanded to a condensed 2D‐phase state of the SLBs are noted, adding a new dimension to their transport behavior. These results highlight the role of tryptophan in expediting electron transfer across lipid bilayer membranes in a cellular environment and can provide potential clues towards patterned lipid nanocomposites and devices.     

Memory effects in complex materials and nanoscale systems

Memory effects are ubiquitous in nature and are particularly relevant at the nanoscale where the dynamical properties of electrons and ions strongly depend on the history of the system, at least within certain time scales. We review here the memory properties of various materials and systems which appear most strikingly in their non-trivial, time-dependent resistive, capacitative and inductive characteristics. We describe these characteristics within the framework of memristors, memcapacitors and meminductors, namely memory-circuit elements with properties that depend on the history and state of the system. We examine basic issues related to such systems and critically report on both theoretical and experimental progress in understanding their functionalities. We also discuss possible applications of memory effects in various areas of science and technology ranging from digital to analog electronics, biologically inspired circuits and learning. We finally discuss future research opportunities in the field.     

Photoluminescence and Optical Absorption of Cs2NaScF6:Cr3+

The main objective of this paper is the characterization of the spectroscopic properties of new materials that are prospective laser media. This approach allows for the comparison of the properties of the Cr³⁺ in different environments. Here, we have studied the photoluminescence and optical absorption of Cs₂NaScF₆:Cr³⁺ single crystals. On the basis of near-infrared luminescence measurements at 2, 77, and 300 K the observed lines originated from the Cr³⁺-centres were associated with the transition and the lifetimes were obtained. In spite of the quenching observed as a function of temperature at least 10% of the 2 K emission intensity for Cs₂NaScF₆ doped with 1% of Cr³⁺ remains at room temperature. Besides, the 2 K emission broad band could be well described in terms of normal modes of the octahedral complex [CrF₆]³⁻, and the Racah and crystal-field parameters calculated.     

Amorphous Er2O3 films for antireflection coatings

This paper reports that stoichiometric, amorphous, and uniform Er2O3 films are deposited on Si(001) substrates by a radio frequency magnetron sputtering technique. Ellipsometry measurements show that the refractive index of the Er2O3 films is very close to that of a single layer antireflection coating for a solar cell with an air surrounding medium during its working wavelength. For the 90-nm-thick film, the reflectance has a minimum lower than 3% at the wavelength of 600 nm and the weighted average reflectances (400-1000 nm) is 11.6%. The obtained characteristics indicate that Er2O3 films could be a promising candidate for antireflection coatings in solar cells.