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標題:Phase transitions and exact ground-state properties of the one-dimensional Hubbard model in a magnetic field
學年89
學期1
出版(發表)日期2000/08/01
作品名稱Phase transitions and exact ground-state properties of the one-dimensional Hubbard model in a magnetic field
作品名稱(其他語言)
著者Yang, C.; Kocharian, A.N.; Chiang, Y.L.
單位淡江大學物理學系
出版者Temple Way: Institute of Physics (IOP)
著錄名稱、卷期、頁數Journal of Physics Condensed Matter 12(33), pp.7433-7454
摘要The exact phase diagrams of the one-dimensional Hubbard model, both attractive and
repulsive, in the presence of an arbitrary magnetic field h for various electron concentrations n
and on-site interaction strengths U < 0 or U > 0 are calculated and investigated. The exact
ground-state properties, namely, the ground-state energy, the average spin (magnetization), the
concentration of the doubly occupied sites, the kinetic energy, the chemical potential, the spin
(magnetic) susceptibility and the charge compressibility, are calculated and examined over a wide
range of interaction strengths U for various h and n. It is found that the spin susceptibility at half-
filling is non-analytic and changes discontinuously asU → 0. The exact theory shows the absence
of a charge energy gap in the U 0 region for all n and provides, for the chemical potential,
the rigorous upper and lower bounds for half-filled and empty bands respectively. The analytical
results derived for the weak-coupling limit and asymptotic expansions for strong coupling are in
full agreement with the numerical calculations.
關鍵字Electrodynamics;Energy gap;Ground state;Kinetic energy;Magnetic susceptibility;Magnetization;Mathematical models;Phase diagrams;Phase transitions;Charge energy gap;Chemical potential;Exact ground state properties;Ground state energy;One dimensional Hubbard model;Magnetic field effects
語言英文
ISSN0953-8984
期刊性質國外
收錄於
產學合作
通訊作者NO
審稿制度
國別英國
公開徵稿
出版型式紙本
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