EXISTENCE OF FOUR DISTINCT PHASES IN ONE DIMENSIONAL MANY-BODY SYSTEMS WITH LONG-RANGE INTERACTION: QUANTUM KOSTERLITZ–THOULESS TRANSITIONS
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We conceptually study the existence of four distinct quantum phases: the Luttinger liquid, the Wigner crystal, the Coulomb plasma and the molecular crystal in one-dimensional many-body systems with long-range interaction. We show that the anomaly of the ground state wavefunction indicates a quantum Kosterlitz–Thouless transition at zero temperature, which separates into two regimes of the Luttinger liquid and the Wigner crystal. We also postulate a scaling theory which discriminate the four phases using the Kosterlitz–Thouless scaling theory.
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1984 ◽
Vol 58
(3)
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pp. 310-315
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1979 ◽
Vol 38
(1)
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pp. 64-68
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1983 ◽
Vol 51
(3)
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pp. 237-249
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1993 ◽
Vol 70
(3-4)
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pp. 985-1028
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