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Spin polarization of the v=5/2 quantum Hall state

机译:v = 5/2量子霍尔态的自旋极化

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摘要

We numerically study the spin polarization of the fractional quantum Hall state at rilling factor v=5/2. By using both exact diagonalization and the density matrix renormalization group methods on the sphere, we are able to analyze more values of partial spin polarization (in addition to fully polarized and unpolarized) than any previous studies. We find that for the Coulomb interaction the exact finite-system ground state is fully polarized, for shifts corresponding to both the Moore-Read Pfaffian state and its particle-hole conjugate (anti-Pfaffian). This result is found to be robust against small variations in the interaction and change of shift. The low-energy excitation spectrum is consistent with spin-wave excitations of a fully magnetized ferromagnet.
机译:我们数值研究了钻进因子v = 5/2时分数量子霍尔态的自旋极化。通过在球体上使用精确的对角化和密度矩阵重新归一化组方法,我们能够分析比以前任何研究都更多的部分自旋极化值(除了完全极化和非极化之外)。我们发现,对于库仑相互作用,精确的有限系统基态是完全极化的,对于对应于摩尔-读取Pfaffian态及其粒子-空穴共轭(反Pfaffian)的位移。发现该结果对于抵抗相互作用的微小变化和换挡的变化是鲁棒的。低能量激发光谱与完全磁化的铁磁体的自旋波激发一致。

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  • 来源
    《Physical review》 |2009年第11期|782-787|共6页
  • 作者单位

    Microsoft Station Q, University of California, Santa Barbara, Santa Barbara, California 93106, USA Department of Physics, Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742, USA;

    Department of Physics, California State University, Los Angeles, Los Angeles, California 90032, USA;

    Department of Physics and NHMFL, Florida State University, Tallahassee, Florida 32306, USA;

    Microsoft Station Q, University of California, Santa Barbara, Santa Barbara, California 93106, USA;

    Department of Physics, Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    theory and modeling; renormalization group methods;

    机译:理论与建模;重归一化组方法;

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