Quantum Hall effect and the relative index for projections
نویسندگان
چکیده
منابع مشابه
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 ob...
متن کاملThe quantum Hall effect
most physical phenomena that occur in nature. Its basic equation, the Schrödinger equation, accurately describes the electronic properties of solids—of great importance in modern technology.To describe the behavior of particles that travel near the speed of light, such as neutrinos, the theory must be modified to take Einstein’s theory of relativity into account. This was accomplished by physic...
متن کاملThe fractional quantum Hall effect.
Recent research has uncovered a fascinating quantum liquid made up solely of electrons confined to a plane surface. Found only at temperatures near absolute zero and in extremely strong magnetic fields, this liquid can flow without friction. The excited states of this liquid consist of peculiar particle-like objects that carry an exact fraction of an electron charge. Called quasiparticles, thes...
متن کاملThe Quantum Spin Hall Effect
Most quantum states of condensed matter are classified by the symmetries they break. For example, crystalline solids break translational symmetry, and ferromagnets break rotational symmetry. By contrast, topological states of matter evade traditional symmetrybreaking classification schemes, and they signal the existence of a fundamentally different organizational principle of quantum matter. Th...
متن کاملThe Fractional Quantum Hall Effect
Their citation reads “ for their discovery of a new form of quantum fluid with fractionally charged excitations”. In this talk, I will try to describe this new form of quantum fluid and its fractionally charged excitations. However, since I am speaking to a general audience and the phenomenon of the fractional quantum Hall effect may not be familiar to all, I will start my talk with a brief int...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1990
ISSN: 0031-9007
DOI: 10.1103/physrevlett.65.2185