Spin-polarization in Fractional Quantum Hall Effect

نویسنده

  • Shosuke Sasaki
چکیده

Experimental data show a number of plateaus of varying widths in the magnetic-field dependence of the electron-spin-polarization for fractional quantum Hall states. We have calculated the magnetic-field dependence of the spin-polarization using a new theory. We start by adopting the Landau gauge and ignoring Coulomb interactions between electrons; then we construct single electron states in equally spaced orbitals. For a number of filling factors we have examined the many-electron states with electron configurations having minimum classical Coulomb energy. The residual Coulomb interactions in each many-electron state produce spin-exchange-forces. We have solved the eigenvalue problem of the interaction Hamiltonian composed of nearest neighbor spin-exchange-interactions. From the eigenvalues we have calculated the magnetic-field dependence of the spin-polarization. Our results are in good accord with the magnetic-field dependence in experimental results, including the number and shape of the plateaus.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fractional quantum Hall effect and Wigner crystal of interacting composite fermions.

In two-dimensional electron systems confined to GaAs quantum wells, as a function of either tilting the sample in a magnetic field or increasing density, we observe multiple spin-polarization transitions of the fractional quantum Hall states at filling factors ν=4/5 and 5/7. The number of observed transitions provides evidence that these are fractional quantum Hall states of interacting two-flu...

متن کامل

Clustering in quantum Hall effect: Spin-charge coupling

The effective fractional charges like 17/4 or 19/4 are explained by our angular momentum theory. These fractions do not arise from odd-denominator rule. Due to same spin polarization for both of these along the magnetic field, these states are not the particlehole conjugates. The idea of clustering first introduced in cond-mat/0303309 has been extended to atomic clusters which explain the oscil...

متن کامل

Nonlocal Polarization Feedback in a Fractional Quantum Hall Ferromagnet.

In a quantum Hall ferromagnet, the spin polarization of the two-dimensional electron system can be dynamically transferred to nuclear spins in its vicinity through the hyperfine interaction. The resulting nuclear field typically acts back locally, modifying the local electronic Zeeman energy. Here we report a nonlocal effect arising from the interplay between nuclear polarization and the spatia...

متن کامل

Spin-flip and spin-wave excitations in arbitrarily polarized quantum Hall states

We study spin-flip and spin-wave excitations for arbitrarily polarized quantum Hall states by employing a fermionic Chern-Simons gauge theory in the low Zeeman energy limit. We show that the spin-flip correlation functions do not get renormalized by the fluctuations of Chern-Simons gauge field. As a consequence, the excitations for a given integer quantum Hall state are identical to fractional ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017