integer quantum Hall Effect, for which he was aw arded the 1985 Nobel Prize in Physics. In 1962, In 1962, von Klitzing passed the Abitur at Artland Gymnasium in Quakenbrück, Germany, before
David Tong: Lectures on the Quantum Hall Effect. This is a course on the quantum Hall effect, given in TIFR, Mumbai. The first four chapters require only basic quantum mechanics; the final two chapters need techniques from quantum field theory. The full lecture notes are around 230 pages. They are also available to download at the arXiv. Please ...
David Tong: Lectures on the Quantum Hall Effect. This is a course on the quantum Hall effect, given in TIFR, Mumbai. The first four chapters require only basic quantum mechanics; the final two chapters need techniques from …
OverviewApplicationsResearch statusHistoryInteger quantum Hall effectPhotonic quantum Hall effectTopological classificationBohr atom interpretation of the von Klitzing constant
The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect which is observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance Rxy exhibits steps that take on the quantized values where VHall is the Hall voltage, Ichannel is the channel current, e is the elementary charge and h is the Planck constant. The divisor ν can take on either integer (ν = 1, 2, 3,...) or fractional (ν = 1/3, 2/…
Here we demonstrate the quantum Hall effect in Bi2O2Se thin films. In magnetic fields as high as 50 T, we observe only even-integer quantum Hall states, but there is no sign of odd-integer...
The thermal Hall effect has been a powerful technique to probe the exotic nature of correlated quantum matter 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16.The thermal Hall effect is the thermal analog ...
Here, we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with massless Dirac fermions …
1.3 Quantum Hall Effects 10 1.3.1 Integer Quantum Hall Effect 11 1.3.2 Fractional Quantum Hall Effect 13 1.4 Landau Levels 14 1.4.1 Landau Gauge 18 1.4.2 Turning on an Electric Field 21 1.4.3 Symmetric Gauge 22 1.5 Berry Phase 27 1.5.1 Abelian Berry Phase and Berry Connection 28 1.5.2 An Example: A Spin in a Magnetic Field 32
The thermal Hall effect of phonons was first discovered in the paramagnetic insulator Tb 3 Ga 5 O 12 by Strohm et al. in 2005, 8 which was later explained by resonant skew scattering of phonons by rare-earth impurities. This is an extrinsic mechanism referring to the asymmetric scattering of phonons due to the coupling between the quadrupole moment of Tb …
The realization of a room-temperature, zero-field quantum topological Hall effect in a magnetically ordered state is a big challenge, but a most rewarding functionality enabling dissipationless...
In this work, we propose the electric counterparts of these two Hall effects, termed as electric Hall effect (EHE) and quantum electric Hall effect (QEHE). The EHE and …
This second quantum Hall effect is the fractional quantum Hall effect, or FQHE. In general, one expects the Hall resistance to show the simple plateaus predicted by equation and the longitudinal resistivity (or conductivity) to show a set of zeroes at the plateaus. As ν is an integer for these plateaus, this has come to be called the integer ...
These lecture notes yield an introduction to quantum Hall effects both for non-relativistic electrons in conventional 2D electron gases (such as in semiconductor heterostructures) and relativistic electrons in graphene. After a brief historical overview in chapter 1, we discuss in detail the kinetic-energy quantisation of non-relativistic and the relativistic …
The quantum Hall effect (QHE) is of great importance for probing and understanding novel electron states in two-dimensional (2D) systems 1,2,3,4,5,6,7,8,9,10,11,12,13,14 the integer QHE, the ...
Cui-Zu Chang et al., Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator, Science 340, 167 (2013).
The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect which is observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance R xy exhibits steps that take on the quantized values
The half-quantum mirror Hall effect reveals a type of mirror-symmetry induced quantum anomaly in a time-reversal invariant lattice system, giving rise to a topological metallic state of matter ...
The Hall effect has long been a standard tool used to characterize conductors and semiconductors. ... e.g., external magnetic field or electron density. In the integer quantum Hall effect, j is an integer, j = 1, 2, …, and in the fractional quantum Hall effect, j is a rational number j = q/p, with p and q relative primes and p odd. Type Chapter
The realization of a room-temperature, zero-field quantum topological Hall effect in a magnetically ordered state is a big challenge, but a most rewarding functionality enabling …
In this work, we show wide resistance plateaus in kink states—a manifestation of the quantum valley Hall effect in Bernal bilayer graphene—quantized to the predicted value at zero magnetic field. The …
In this work, we propose the electric counterparts of these two Hall effects, termed as electric Hall effect (EHE) and quantum electric Hall effect (QEHE). The EHE and QEHE emerge in 2D magnetic systems, where the transverse current is generated by applying an electric gate-field instead of a magnetic field.
Here, we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with massless Dirac fermions in momentum space or real space, and uncover a distinct bulk-edge correspondence in which the half-quantized Hall effect is realized via the bulk massless Dirac fermions while ...
Hall-weerstand ρ xy in kΩ bij lage temperaturen uitgezet tegen de magnetische inductie B in tesla.. Het kwantum-hall-effect werd voor het eerst in 1980 gemeten door de Duitse fysicus Klaus von Klitzing toen hij promovendus was op het Grenoble High Magnetic Field Laboratory. Hierbij maakte hij gebruik van een speciaal gefabriceerde halfgeleiderconfiguratie waarin elektronen …
Abstract: The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary.
The evolution of IQHEs and FQHEs with increasing current has been examined in studies of the so-called breakdown of the quantum Hall effect 41,42,43,44,45, which focused upon the disappearance...
Here we demonstrate the quantum Hall effect in Bi2O2Se thin films. In magnetic fields as high as 50 T, we observe only even-integer quantum Hall states, but there is no sign of odd-integer...
Abstract: The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on …
In this work, we show wide resistance plateaus in kink states—a manifestation of the quantum valley Hall effect in Bernal bilayer graphene—quantized to the predicted value at zero magnetic field. The plateau resistance has a very weak temperature dependence up to 50 kelvin and is flat within a dc bias window of tens of millivolts.
The evolution of IQHEs and FQHEs with increasing current has been examined in studies of the so-called breakdown of the quantum Hall effect 41,42,43,44,45, which focused upon the disappearance...
