arXiv subjects

Min-Fong Yang

Publications and source records attributed to Min-Fong Yang.

43 records · Page 3Linked to original sources

arXiv2000

Hysteresis effect in ν=1 quantum Hall system under periodic electrostatic modulation

The effect of a one-dimensional periodic electrostatic modulation on quantum Hall systems with filling factor ν=1 is studied. We propose that, either when the amplitude of the modulation potential or the tilt angle of the magnetic field is varied, the system can undergo a first-order phase transition from a fully spin-polarized homogeneous state to a partially spin-polarized charge-density-wave state, and show hysteresis behavior of the spin polarization. This is confirmed by our self-consistent numerical calculations within the Hartree-Fock approximation. Finally we suggest that the ν=1/3 fractional quantum Hall state may also show similar hysteresis behavior in the presence of a periodic potential modulation.

cond-mat.mes-hall↗

arXiv2000

Comment on "Theory of diluted magnetic semiconductor ferromagnetism"

In this comment, we emphasize that the self-consistent spin wave theory in a recent paper [J. K"onig, H.-H. Lin, and A. H. MacDonald, Phys. Rev. Lett. 84, 5628 (2000)] leads to incorrect results both at low temperatures and near T_c. Thus we suggest another self-consistent spin wave approximation to remedy these flaws.

cond-mat.mes-hall↗

arXiv1999

Finite-temperature phase transitions in $ν=2$ bilayer quantum Hall systems

In this paper, the influence of an in-plane magnetic field B_\parallel on the finite-temperature phase transitions in nu=2 bilayer quantum Hall systems are examined. It is found that there can exist two types of finite-temperature phase transitions. The first is the Kosterlitz-Thouless (KT) transitions, which can have an unusual non-monotonic dependence on B_\parallel; the second type originates from the crossing of energy levels and always increases with B_\parallel. Based on these results, we point out that the threshold temperature observed in the inelastic light scattering experiments cannot be the KT transition temperature, because the latter shows a totally different B_\parallel-dependence as compared with the experimental observation. Instead, it should be the level-crossing temperature, which we found agrees with the B_\parallel-dependence observed. Moreover, combining the knowledge of these two transition temperatures, a complete finite-temperature phase diagram is presented.

cond-mat.mes-hall↗

arXiv1999

Effect of in-plane magnetic field on magnetic phase transitions in nu=2 bilayer quantum Hall systems

By using the effective bosonic spin theory, which is recently proposed by Demler and Das Sarma [ Phys. Rev. Lett. 82, 3895 (1999) ], we analyze the effect of an external in-plane magnetic field on the magnetic phase transitions of the bilayer quantum Hall system at filling factor nu=2. It is found that the quantum phase diagram is modified by the in-plane magnetic field. Therefore, quantum phase transitions can be induced simply by tilting the magnetic field. The general behavior of the critical tilted angle for different layer separations and interlayer tunneling amplitudes is shown. We find that the critical tilted angles being calculated agree very well with the reported values. Moreover, a universal critical exponent for the transition from the canted antiferromagnetic phase to the ferromagnetic phase is found to be equal to 1/2 within the present effective theory.

cond-mat.mes-hall↗

arXiv1997

Multi-band energy spectra of spin-1/2 electrons with two-dimensional magnetic modulations

The energy spectra of spin-1/2 electrons under two-dimensional magnetic field modulations are calculated beyond the one-band approximation. Our formulation is generally applicable to a modulation field with a rectangular lattice symmetry. The field distribution within a plaquette is otherwise arbitrary. The spectra being obtained are qualitatively different from their electric modulated counterparts. Peculiar features of the spectra are that, for an electron with a g factor precisely being equal to two, no matter how strong the modulation is, the zero-energy level seems to be unaffected by the modulation and is separated from higher energy levels with a nonzero energy gap. Moreover, there is a two-fold degenerancy for all states with positive energies with respect to spin flip. These features agree with earlier analytical studies of the periodically magnetic modulated systems.

cond-mat.mes-hall↗

arXiv1996

Exact shape of the lowest Landau level in a spin-1/2 system with uncorrelated disorders

Using the path-integral approach developed by Brézin et al. [ Nucl.Phys.B235, 24 (1984) ], we obtain an analytical expression for the density of states of a spin-1/2 disordered two-dimensional electron gas in a strong, perpendicular magnetic field. The density of states of this system illustrates the interplay between the Zeeman splitting of Landau levels and the disorder-induced broadening. We find that the broadening and the band splitting of the Landau bands are enhanced due to the level repulsion from the mixing of two spin orientations caused by the random scatterings. The comparison between the spin-1/2 model and the double-layer system is also discussed.

cond-mat.mes-hall↗

arXiv1996

Intermediate-Coupling Theory for the Spectral Weight of Spin Polaron

Within the intermediate-coupling theory, the quasiparticle weight $Z$ of one hole injected in the undoped antiferromagnetic ground state is studied. We find that, for the hole located at the quasiparticle band minimun with momentum ${\bf k}_0 = (\pm \fracπ{2}, \pm \fracπ{2})$, $Z$ is finite. By comparing the results obtained by the self-consistent Born approximation, we show that the intermediate-coupling theory for $Z$ is appropriate only when $J/t \stackrel{>}{\sim} 1.6$. Finally, the reason why this approach fails in the small-$J$ case will also be clarified.

cond-mat↗