Boundary states and edge currents for free fermions

Fermions in the vortex core as edge states.

Fermions in the vortex core as edge states. Abstract The splitting of the spectrum of the electronic bound states in the vortex core with broken parity and axisymmetry is dicussed using (i) the phenomenological approach, and (ii) the simple model, in which the vortex core is represented by the vortex sheet of the radius R much larger than the coherence length ξ. In this model the bound states a...

Edge states in a boundary layer

The Search for Edge States ( Boundary Modes ) in Mechanical Metamaterials

Recent breakthroughs in condensed matter physics are opening new directions in band engineering and wave manipulation. Specifically, challenging the notions of reciprocity, time-reversal symmetry and sensitivity to defects in wave propagation may disrupt ways in which mechanical metamaterials are designed and employed, and may enable totally new functionalities. Non-reciprocity and topologicall...

BRST Symmetry: Boundary Conditions and Edge States in Maxwell Electrodynamics

In manifolds with spatial boundary, BRST formalism can be used to quantize gauge theories. We show that, in a U(1) gauge theory, only a subset of all the boundary conditions allowed by the self-adjointness of the Hamiltonian preserves BRST symmetry. Hence, the theory can be quantized using BRST formalism only when that subset of boundary conditions is considered. We also show that for such boun...

technical and legal parameters for determination of river boundary,( case study haraz river)

چکیده با توسعه شهر نشینی و دخل و تصرف غیر مجاز در حریم رودخانه ها خسارات زیادی به رودخانه و محیط زیست اطراف آن وارده می شود. در حال حاضر بر اساس آئین نامه اصلاح شده بستر و حریم رودخانه ها، حریم کمی رودخانه که بلافاصله پس از بستر قرار می گیرد از 1 تا20 متر از منتهی الیه طرفین بستر رودخانه تعیین، که مقدار دقیق آن در هر بازه از رودخانه مشخص نیست. در کشورهای دیگر روشهای متفاوتی من جمله: درصد ریسک...