Topological aspects of quantum spin Hall effect in graphene: Z2_2 topological order and spin Chern number

For generic time-reversal invariant systems with spin-orbit couplings, we clarify a close relationship between the Z$_2$ topological order and the spin Chern number proposed by Kane and Mele and by Sheng {\it et al.}, respectively, in the quantum spin Hall effect. It turns out that a global gauge transformation connects different spin Chern numbers (even integers) modulo 4, which implies that the spin Chern number and the Z$_2$ topological order yield the same classification. We present a method of computing spin Chern numbers and demonstrate it in single and double plane of graphene.Comment: 5 pages, 3 figure

ISM gas studies towards the TeV PWN HESS J1825-137 and northern region

HESS J1825-137 is a pulsar wind nebula (PWN) whose TeV emission extends across ~1 deg. Its large asymmetric shape indicates that its progenitor supernova interacted with a molecular cloud located in the north of the PWN as detected by previous CO Galactic survey (e.g Lemiere, Terrier & Djannati-Ata\"i 2006). Here we provide a detailed picture of the ISM towards the region north of HESS J1825-137, with the analysis of the dense molecular gas from our 7mm and 12mm Mopra survey and the more diffuse molecular gas from the Nanten CO(1-0) and GRS $^{13}$CO(1-0) surveys. Our focus is the possible association between HESS J1825-137 and the unidentified TeV source to the north, HESS J1826-130. We report several dense molecular regions whose kinematic distance matched the dispersion measured distance of the pulsar. Among them, the dense molecular gas located at (RA, Dec)=(18.421h,-13.282$^{\circ}$) shows enhanced turbulence and we suggest that the velocity structure in this region may be explained by a cloud-cloud collision scenario. Furthermore, the presence of a H$\alpha$ rim may be the first evidence of the progenitor SNR of the pulsar PSR J1826-1334 as the distance between the H$\alpha$ rim and the TeV source matched with the predicted SNR radius R$_{\text{SNR}}$~120 pc. From our ISM study, we identify a few plausible origins of the HESS J1826-130 emission, including the progenitor SNR of PSR J1826-1334 and the PWN G018.5-0.4 powered by PSR J1826-1256. A deeper TeV study however, is required to fully identify the origin of this mysterious TeV source.Comment: 19 figures, 27 pages, accepted by MNRA

An edge index for the Quantum Spin-Hall effect

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized, the spin conductance is not and it remained an open problem to find the observable whose edge current is quantized. In this paper, we define a particular observable and the edge current corresponding to this observable. We show that this current is quantized and that the quantization is given by the index of a certain Fredholm operator. This provides a new topological invariant that is shown to take same values as the Spin-Chern number previously introduced in the literature. The result gives an effective tool for the investigation of the edge channels' structure in Quantum Spin-Hall systems. Based on a reasonable assumption, we also show that the edge conducting channels are not destroyed by a random edge.Comment: 4 pages, 3 figure

Interaction of massless Dirac field with a Poincar\'e gauge field

In this paper we consider a model of Poincar\'e gauge theory (PGT) in which a translational gauge field and a Lorentz gauge field are actually identified with the Einstein's gravitational field and a pair of ``Yang-Mills'' field and its partner, respectively.In this model we re-derive some special solutions and take up one of them. The solution represents a ``Yang-Mills'' field without its partner field and the Reissner-Nordstr\"om type spacetime, which are generated by a PGT-gauge charge and its mass.It is main purpose of this paper to investigate the interaction of massless Dirac fields with those fields. As a result, we find an interesting fact that the left-handed massless Dirac fields behave in the different manner from the right-handed ones. This can be explained as to be caused by the direct interaction of Dirac fields with the ``Yang-Mills'' field. Accordingly, the phenomenon can not happen in the behavior of the neutrino waves in ordinary Reissner-Nordstr\"om geometry. The difference between left- and right-handed effects is calculated quantitatively, considering the scattering problems of the massless Dirac fields by our Reissner-Nordstr\"om type black-hole.Comment: 10pages, RevTeX3.

Rural Finance and Microfinance Development in Transition Countries in Southeast and East Asia

Microfinance is an emerging important financial subsector in Asian transition countries. Its role is to improve financial access of the poor and small economic players and thus help them to build assets, thereby contribute to poverty alleviation. This paper provides an overview of rural finance and microfinance development in transition countries in Southeast and East AsiaCambodia, Lao PDR, Myanmar, Vietnam, and Mongoliafocusing on the institutional evolution and the inter-relation between policies and institutions. We find diverse potentials that formal and semi-formal financial institutionagricultural banks, microfinance banks, microfinance NGOs, financial cooperatives and other indigenous financial systemshave to reach out to the rural poor of respective nations. Any monolithic view that expects a single type of microfinance institutions to dominate the rural financial markets is to be denied. To develop effective rural financial systems, some policy implications are drawn, such as reforms of agricultural banks, adoption of market-based policy framework, development of retail capacities of microfinance institutions, progressive establishment of legal and regulatory framework for microfinance, improvement in governance of indigenous financial systems, and the importance of savings mobilization

Innovations in Microfinance in Southeast Asia

This paper describes some emerging innovations in microfinance observed in Southeast Asian microfinance markets that make it possible for microfinance institutions (MFIs) to reach a greater number of poor households on a sustainable basis. It discusses the nature, importance and types of innovations. Innovations help reduce the MFI's transaction costs and risks. They also make it possible for poor households to satisfy their investment and consumption smoothing requirements. The paper draws some lessons from the experience with innovations and makes a case for government's important role in ensuring the proper functioning of markets. It points out government's pivotal role in system innovation because of the likelihood of its under-or-slow production by the private sector. MFIs have a clear advantage in process and product innovation to meet the requirements of poor clients. Thus, they should be given room in doing this