arXiv subjects

H. C. Ho

Publications and source records attributed to H. C. Ho.

6 recordsLinked to original sources

arXiv2013

Composite-particles (Boson, Fermion) Theory of Fractional Quantum Hall Effect

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption the phonon exchange attraction between the conduction electron ("electron", "hole") and fluxons (quanta of magnetic fluxes). We postulate that c-fermions with \emph{any} even number of fluxons have an effective charge (magnitude) equal to the electron charge $e$. The density of c-fermions with $m$ fluxons, $n_ϕ^{(m)}$, is connected with the electron density $n_{\mathrm e}$ by $n_ϕ^{(m)}=n_{\mathrm e}/m$, which implies a more difficult formation for higher $m$, generating correct values $me^2/h$ for the Hall conductivity $σ_{\mathrm H}\equiv j/E_{\mathrm H}$. For condensed c-bosons the density of c-bosons-with-$m$ fluxons, $n_ϕ^{(m)}$, is connected with the boson density $n_0$ by $n_ϕ^{(m)}=n_0/m$. This yields $σ_{\mathrm H}=m\,e^2/h$ for the magnetoconductivity, the value observed of the QHE at filling factor $ν=1/m$ ($m=$odd numbers). Laughlin's theory and results about the fractional charge are not borrowed in the present work.

cond-mat.mes-hall↗

arXiv2012

Theory of High-Field Transports in Metallic Single-Wall Nanotubes

Individual metallic single-wall carbon nanotubes show unsual non-Ohmic transport behaviors at high bias fields. For low resistance contact samples, the differential conductance dI/dV increases with increasing bias, reaching a maximum at $\sim$ 100mV. As the bias increases further, dI/dV drops dramatically [Yao et al., Phys. Rev. Lett. 84, 2941 (2000)]. The higher the bias, the system behaves in a more normal (Ohmic) manner. This so-called zero-bias anomaly is temperature-dependent (50--150K). We propose a new interpretation. Supercurrent runs in the graphene wall below $\sim$ 150K. The normal conduction-electron currents run outside the wall, which are subject to the scattering by phonons and impurities. The currents along the tube induce circulating magnetic fields and eventually destroy the supercurrent in the wall at high enough bias, and restore the Ohmic behavior. If the prevalent ballistic electron model is adopted, then the scattering effects cannot be discussed.

cond-mat.mes-hall↗

arXiv2011

On the Transport Diamonds and Zero Current Anomaly in InGaAs/InP and GaAs/AlGaAs

In the quantum Hall effect (QHE) the differential resistivity $r_{xx} \equiv r$ vanishes within a range where the Hall resistivity forms a plateau. A microscopic theory is developed, starting with a crystal lattice, setting up a BCS-like Hamiltonian in terms of composite bosons, and using statistical mechanical method. The main advantage of our bosonic theory is its capability of explaning the plateau formation in the Hall resistivity, which is assumed in the composite fermion theories. In the QHE under radiation, the resistivity vanishes within a range with no plateau formation. This is shown in terms of two-channels model, one channel excited by radiation where the supercurrents run and the other (base) channel in which the normal currents run. The transport diamonds (TD) and the zero direct current anomaly (ZCA) occur when the resistivity $r$ is measured as a function of magnetic field and direct current (DC). The spiral motion of an electron under a magnetic field can be decomposed into two, the cyclotron motion with the cyclotron mass $m^*$ and the guiding center motion with the magnetotransport $M^*$. The quantization of the motion generates magnetic oscillations in the density of states. The magnetoconductivity is calculated, using kinetic theory and quantum statistical mechanics. The TR and ZCA are shown to be a breakdown of QHE. The integer QHE minima are shown to become the Shubnikov-de Haas (SdH) maxima progressively as the DC increases. The ZCA at low temperatures ($T=0.253$--1.2\,K) is temperature-dependent, which is caused by the electron-optical-phonon scattering.

cond-mat.mes-hall↗

arXiv2006

Absence of Landau's Diamagnetism in Two Dimensions

A quantum statistical theory is developed for the de Haas-van Alphen (dHvA) oscillation in the magnetization for a 2D system of quasifree electrons. The oscillatory density of states associated with the Landau levels gives rise to the dHvA oscillation. Significantly, there is no Landau's diamagnetic term proportional to B2. This leads to the conclusion that the 2D electron system is always paramagnetic, but shows a magnetic oscillation. The difference between 2D and 3D electron systems is also briefly discussed.

cond-mat.other↗

arXiv2006

Third-order many-body perturbation theory calculations for the beryllium and magnesium isoelectronic sequences

Relativistic third-order MBPT is applied to obtain energies of ions with two valence electrons in the no virtual-pair approximation (NVPA). A total of 302 third-order Goldstone diagrams are organized into 12 one-body and 23 two-body terms. Only third-order two-body terms and diagrams are presented here, owing to the fact that the one-body terms are identical to the previously studied third-order terms in monovalent ions. Dominant classes of diagrams are identified. The model potential is a Dirac-Hartree-Fock $V^{N-2}$ potential, and B-spline basis functions in a cavity of finite radius are employed in the numerical calculations. The Breit interaction is taken into account through second order of perturbation theory and the lowest-order Lamb shift is also evaluated. Sample calculations are performed for berylliumlike ions with Z = 4--7, and for the magnesiumlike ion P IV. The third-order energies are in excellent agreement with measurement with an accuracy at 0.2% level for the cases considered. Comparisons are made with previous second-order MBPT results and with other calculations. The third-order energy correction is shown to be significant, improving second-order correlation energies by an order of magnitude.

physics.atom-ph↗

arXiv2004

Off-diagonal hyperfine interaction between the 6p1/2 and 6p3/2 levels in 133Cs

The off-diagonal hyperfine interaction between the 6p1/2 and 6p3/2 states in 133Cs is evaluated in third-order MBPT giving 37.3 Hz and 48.3 Hz, respectively, for second-order energies of the 6p3/2 F=3 and F=4 levels. This result is a factor of 10 smaller than one obtained from an uncorrelated first-order Dirac-Hartree-Fock calculation and used in the analysis of a recent high-precision (< 2 kHz) measurement of the 6p3/2 hyperfine structure [Gerginov et al. Phys. Rev. Lett. 91, 72301 (2003)]. The factor of 10 difference has negligible effect on the conclusions of the recent experiment but will become important for experiments carried out at a precision of better than 1 kHz.

physics.atom-ph↗