Incommensurate Ground State of Double-Layer Quantum Hall Systems
Incommensurate Ground State of Double-Layer Quantum Hall Systems
复制标题
双层量子霍尔系统的不相称基态
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Steven Girvin
中科院分区：
文献类型：
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作者：
Charles B. Hanna;A. H. MacDonald;Steven Girvin
Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic field ${B}_{ensuremath{Vert}}g{B}_{c}$ drives a commensurate-incommensurate (CI) transition to an incommensurate soliton-lattice (SL) state. We calculate the Hartree-Fock ground-state energy of the SL state for all values of ${B}_{ensuremath{Vert}}$ within a gradient approximation, and use it to obtain the anisotropic SL stiffness, the Kosterlitz-Thouless melting temperature for the SL, and the SL magnetization. The in-plane differential magnetic susceptibility diverges as $|{B}_{ensuremath{Vert}}ensuremath{-}{B}_{c}{|}^{ensuremath{-}1}$ when the CI transition is approached from the SL state.
Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic field ${B}_{ensuremath{Vert}}g{B}_{c}$ drives a commensurate-incommensurate (CI) transition to an incommensurate soliton-lattice (SL) state. We calculate the Hartree-Fock ground-state energy of the SL state for all values of ${B}_{ensuremath{Vert}}$ within a gradient approximation, and use it to obtain the anisotropic SL stiffness, the Kosterlitz-Thouless melting temperature for the SL, and the SL magnetization. The in-plane differential magnetic susceptibility diverges as $|{B}_{ensuremath{Vert}}ensuremath{-}{B}_{c}{|}^{ensuremath{-}1}$ when the CI transition is approached from the SL state.