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Conformal Field Theory Approach to One-Dimensional Quantum Liquids (Low Dimensional Field Theories and Condensed Matter Physics(Proceedings of the 4th Yukawa International Seminar))

Norio Kawakami, Sung-Kil Yang

Progress of Theoretical PhysicsMay 1, 19920 citations

‘Luttinger liquid theory’ of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas

F. D. M. Haldane

WORLD SCIENTIFIC eBooksDec 1, 19946 citations

Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems(Yukawa International Seminar 2004 (YKIS2004) Physics of Strongly Correlated Electron Systems)

Ming-Shyang Chang, Wei Chen, Hsiu‐Hau Lin

Progress of Theoretical Physics SupplementFeb 6, 20060 citations

Luttinger Liquid in Two Dimensions: Fermionic Backflow and Transfer of Statistics

G. Baskaran

We discuss certain physical contents of the two-dimensional Luttinger liquid state using the spin and charge current backflow in strongly correlated electron systems. Also we attempt a description of the Luttinger liquid state in the slave boson formalism. Conventional slave boson mean field theory does not possess an important property expected of a Luttinger liquid, namely a pseudo fermi surface for holons. This arises from the bose condensation of holes. We attempt to rectify this by discussing the physics of the fermionic backflow associated with the hole motion. We argue that the fermionic backflow suppresses the Bose condensation. To understand this we introduce the notion of ‘Statistics Transfer’-the medium transfer certain statistics to the slave particle (e's). A variational wave function in which boson condensation is manifestly absent is introduced. The form of the wave function is justified by the concept of statistics transfer. The spinon and holon excitations both exhibiting pseudo fermi surfaces are constructed.We discuss certain physical contents of the two-dimensional Luttinger liquid state using the spin and charge current backflow in strongly correlated electron systems. Also we attempt a description of the Luttinger liquid state in the slave boson formalism. Conventional slave boson mean field theory does not possess an important property expected of a Luttinger liquid, namely a pseudo fermi surface for holons. This arises from the bose condensation of holes. We attempt to rectify this by discussing the physics of the fermionic backflow associated with the hole motion. We argue that the fermionic backflow suppresses the Bose condensation. To understand this we introduce the notion of ‘Statistics Transfer’-the medium transfer certain statistics to the slave particle (e's). A variational wave function in which boson condensation is manifestly absent is introduced. The form of the wave function is justified by the concept of statistics transfer. The spinon and holon excitations both exhibiting pseudo fermi surfaces are constructed.

Progress of Theoretical Physics SupplementJan 1, 19922 citations

Information complexity and control in quantum physics : proceedings of the 4th International Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, September 4-13, 1985

Austin Blaquière, Simon Diner, Georges Lochak

Springer eBooksJan 1, 19873 citations

Dimensional Crossover from 2D Fermi liquids to 1D Luttinger liquids

Jiahua Gu, Kai Sun

Bulletin of the American Physical SocietyMar 17, 20160 citations

Luttinger Liquid in Two Dimensions--Fermionic Backflow and Transfer of Statistics (Low Dimensional Field Theories and Condensed Matter Physics(Proceedings of the 4th Yukawa International Seminar))

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Luttinger Liquid in Two Dimensions--Fermionic Backflow and Transfer of Statistics (Low Dimensional Field Theories and Condensed Matter Physics(Proceedings of the 4th Yukawa International Seminar))

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