# hall conductivity

### Ab initio Calculation of the Intrinsic Spin Hall Effect in

· The calculated orbital-angular-momentum (orbital) Hall conductivity is one order of magnitude smaller indicating no cancellation between the spin and orbital Hall effects in bulk semiconductors.

Get Price### Quantized Hall conductivity in two dimensions

· It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing Dorda and Pepper and by Tsui and Gossard is a consequence of gauge invariance and the existence of a mobility gap. Edge effects are shown to have no influence on the accuracy of quantization.

Get Price### Fermi-surface calculation of the anomalous Hall

· Fermi-surface calculation of the anomalous Hall conductivity Xinjie Wang 1David Vanderbilt Jonathan R. Yates 2 3 and Ivo Souza2 3 1Department of Physics and Astronomy Rutgers University Piscataway New Jersey USA 2Department of Physics University of California Berkeley California 94720 USA 3Materials Science Division Lawrence Berkeley National Laboratory

Get Price### The Hall EﬀectUniversity of Washington

· failure of the simple model of metallic conductivity which we discuss below to account for many experimental measurements of the Hall eﬀect has been one of the principal motivators leading to a better understanding of electronic properties of materials 5 pp. 58–62 . 1.1 The simple theory of the Hall

Get Price### The Hall EﬀectUniversity of Washington

· With the measurements he made Hall was able to determine forthe ﬁrst time the sign of chargecarriers in a conductor. Even today Hall eﬀect measurementscontinue to be a useful techniquefor characterizing the electrical transport properties of metals and semiconductors. Indeed thefailure of the simple model of metallic conductivity whichwe discuss below to account for manyexperimental measurements of the Hall eﬀect

Get Price### The Hall EﬀectUniversity of Washington

· failure of the simple model of metallic conductivity which we discuss below to account for many experimental measurements of the Hall eﬀect has been one of the principal motivators leading to a better understanding of electronic properties of materials 5 pp. 58–62 . 1.1 The simple theory of the Hall

Get Price### Hall conductivity of a two-dimensional graphite system

· Within a self-consistent Born approximation the Hall conductivity of a two-dimensional graphite system inthe presence of a magnetic ﬁeld is studied by quantum transport theory. The Hall conductivity is calculated forshort- and long-range scatterers. It is calculated analytically in the limit of strong magnetic ﬁelds and in theBoltzmann limit in weak magnetic ﬁelds. The numerical calculation shows that the Hall conductivity

Get Price### condensed matterHall conductivity from Kubo Bulk or

· Using the Kubo formula Thouless Kohmoto Nightingale and den Nijs (TKNN PRL 49 (1982)) proved that upon summing all the contributions of the filled states of an insulator the Hall conductivity must be an integer (the Chern number) times e 2/h.

Get Price### Hall conductivity as topological invariant in phase space

the Hall conductivity for the insulator is the topological invariant which is given by the expression of equation (35) 10 11 composed of the complete two-point Green s func-tion of the interacting model. However this work only stu-died anomalous quantum Hall conductivity in the absence of magnetic ﬁeld.

Get Price### Universal Behavior of the Thermal Hall Conductivity

· The thermal Hall conductivity contributed by bosons in particular phonons might involve other complicatedeffects. In ferroelectric insulators extrinsic skew scatteringwas proposed to govern the thermal Hall effect. In thiscase the Mott-like formula can still be applied to describethe temperature gradient of phonon excitations (∂n=∂ϵ) but BðϵÞ is no longer given by the TKNN formula andbecomes

Get Price### Theory of Valley Hall Conductivity in Bilayer Graphene

· The above shows that the Hall conductivity can be-come nonzero in the vicinity of the gap opened by the applied electric eld but it can become rapidly smaller or can change sign with the increase of the absolute value of the energy ("˘ 1=2 for j∆j≪ 1). In the gap the Hall conductivity is quantized into ˙xy = gse2 h (21) with h = 2ˇ h

Get Price### Fermi-surface calculation of the anomalous Hall

· Fermi-surface calculation of the anomalous Hall conductivity Xinjie Wang 1David Vanderbilt Jonathan R. Yates 2 3 and Ivo Souza2 3 1Department of Physics and Astronomy Rutgers University Piscataway New Jersey USA 2Department of Physics University of California Berkeley California 94720 USA 3Materials Science Division Lawrence Berkeley National Laboratory

Get Price### Giant unconventional anomalous Hall effect in the

· In these insulators the anomalous Hall conductivity (σ AHE) becomes modulated by the conductance quantum while the longitudinal conductivity (σ xx) approaches zero resulting in the AHA (tan −1 (σ AHE σ xx))approaching 90° (11 12). The AHE can be broadly divided into two categories intrinsic and extrinsic .

Get Price### condensed matterHall conductivity from Kubo Bulk or

· Hall conductivity from Kubo Bulk or edge Using the Kubo formula Thouless Kohmoto Nightingale and den Nijs (TKNN PRL 49 (1982)) proved that upon summing all the contributions of the filled states of an insulator the Hall conductivity must be an integer (the Chern number) times e 2/h. Their theorem uses periodic boundary

Get Price### Phys. Rev. B 86 235438 (2012)Optical Hall conductivity

· Optical Hall conductivity σ x y as a function of photon energy for the 4 2 graphene antidot lattice. The conductivity is shown relative to the zero-frequency conductivity of graphene σ 0 times the square of the cyclotron energy ℏ ω c. The blue (red) lines show the real (imaginary) part of the conductivity.

Get Price### Quantized Hall conductivity in two dimensions

· PHYSICAL REVIE B VOLUME 23 NUMBER 10 15 MAY 1981 Quantized Hall conductivity in tsto dimensions R B. Laughlin Bell Laboratories Murray Hill )Ver Jersey 07974 (Received 20 January 1981) It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing Dorda and Pepper and by Tsui and Gossard is a conse- quence of

Get Price### Theory of Valley Hall Conductivity in Bilayer Graphene

· The above shows that the Hall conductivity can be-come nonzero in the vicinity of the gap opened by the applied electric eld but it can become rapidly smaller or can change sign with the increase of the absolute value of the energy ("˘ 1=2 for j∆j≪ 1). In the gap the Hall conductivity is quantized into ˙xy = gse2 h (21) with h = 2ˇ h

Get Price### Field-Modulated Anomalous Hall Conductivity and Planar

· A 22 enhancement of the intrinsic anomalous Hall conductivity (AHC) as compared to bulk material was observed. A magnetic field-modulated AHC which may be related to the changing Weyl point separation with magnetic field was also found. Furthermore we showed that the PHE in a hard magnetic WSM is a complex interplay between ferromagnetism

Get Price### Fermi-surface calculation of the anomalous Hall

· Fermi-surface calculation of the anomalous Hall conductivity Xinjie Wang 1David Vanderbilt Jonathan R. Yates 2 3 and Ivo Souza2 3 1Department of Physics and Astronomy Rutgers University Piscataway New Jersey USA 2Department of Physics University of California Berkeley California 94720 USA 3Materials Science Division Lawrence Berkeley National Laboratory

Get Price### Ab initio calculation of the anomalous Hall conductivity

· integer quantum Hall effect 13 and also closely related to the Berry-phase theory of polarization.14 The dc anomalous Hall conductivity AHC is simply given as the Brillouin zone BZ integral of the Berry curvature weighted by the occu-pation factor of each state xy =− e2 n BZ dk 2 3 f n k n z k 1 where xy=− yx is the antisymmetric part of

Get Price### Theory of Valley Hall Conductivity in Graphene with Gap

· Hall conductivity can become nonzero in the absence of a magnetic eld. For the K points the Hamilto-nian is obtained by replacing ⃗˙ with ⃗˙ which makes vy = (= h)˙y. As a result the ﬀe magnetic eld is in the opposite direction and the Hall conductivity has an opposite sign making the total Hall conductivity van-ish.

Get Price### Spin-Hall conductivity in a two-dimensional Rashba

· Hall conductivity sH of a clean 2DEG and its in-plane magnetic susceptibility providing additional argu-ments in favor of the equilibrium nature of the spin-Hall constant sH = 2e g B 2m b 2 where m b is the band mass B is the Bohr magneton and g

Get Price### Spin Hall conductivityLunds tekniska högskola

· It was shown soon after Sinova s article that this system was not robust to disorder. First order corrections to the spin Hall conductivity very exactly cancel out the zeroth order conductivity Raimondi and Schwab PRB 71 (2005) and quantum corrections are zero Chalaev and Loss PRB 71 (2005) meaning a total disappearance of the spin Hall effect.

Get Price### Ab initio Calculation of the Intrinsic Spin Hall Effect in

· Relativistic band theoretical calculations reveal that intrinsic spin Hall conductivity in hole-doped archetypical semiconductors Ge GaAs and AlAs is large ∼ 100 (ℏ / e) (Ω cm) − 1 showing the possibility of a spin Hall effect beyond the four-band Luttinger Hamiltonian.The calculated orbital-angular-momentum (orbital) Hall conductivity is one order of magnitude smaller indicating

Get Price### condensed matterHall conductivity from Kubo Bulk or

· Hall conductivity from Kubo Bulk or edge Using the Kubo formula Thouless Kohmoto Nightingale and den Nijs (TKNN PRL 49 (1982)) proved that upon summing all the contributions of the filled states of an insulator the Hall conductivity must be an integer (the Chern number) times e 2/h. Their theorem uses periodic boundary

Get Price### Fermi-surface calculation of the anomalous Hall

### Spin-Hall conductivity in a two-dimensional Rashba

· Hall conductivity sH of a clean 2DEG and its in-plane magnetic susceptibility providing additional argu-ments in favor of the equilibrium nature of the spin-Hall constant sH = 2e g B 2m b 2 where m b is the band mass B is the Bohr magneton and g

Get Price### 1805.10532 Quantization of the thermal Hall conductivity

· Quantization of the thermal Hall conductivity at small Hall angles. Authors Mengxing Ye Gábor B. Halász Lucile Savary Leon Balents. (Submitted on 26 May 2018 ( v1 ) last revised 3 Oct 2018 (this version v2)) Abstract We consider the effect of coupling between phonons and a chiral Majorana edge in a gapped chiral spin liquid with Ising

Get Price### Theory of Valley Hall Conductivity in Graphene with Gap

· Hall conductivity can become nonzero in the absence of a magnetic eld. For the K points the Hamilto-nian is obtained by replacing ⃗˙ with ⃗˙ which makes vy = (= h)˙y. As a result the ﬀe magnetic eld is in the opposite direction and the Hall conductivity has an opposite sign making the total Hall conductivity van-ish.

Get Price