Neutral excitations in the Gaffnian state

Article

关键词: INCOMPRESSIBLE QUANTUM FLUID;    LANDAU-LEVEL;    HALL STATES;    WAVE-FUNCTIONS;    SYMMETRIES;   

DOI  :  10.1103/PhysRevB.95.245117

来源: SCIE

【 摘 要 】

We study a model fractional quantum Hall (FQH) wave function called the Gaffnian state, which is believed to represent a gapless, strongly correlated state that is very different from conventional metals. To understand this exotic gapless state better, we provide a representation based on work of Halperin in which the pairing structure of the Gaffnian state becomes more explicit. We employ the single-mode approximation introduced by Girvin, MacDonald, and Platzman, here extended to three-body interactions, in order to treat a neutral collective excitation mode in order to clarify the physical origin of the gaplessness of the Gaffnian state. We discuss approaches to extract systematically the relevant physics in the long-distance, large-electron-number limit of FQH states using numerical calculations with relatively few electrons. In Appendices, we provide second-quantized expressions for many-body Haldane pseudopotentials in various geometries including the plane, sphere, cylinder, and torus based on the proper definition of the relative angular momentum.

【 授权许可】

Free