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二维和三维大双极化子的稳定性

任宇航 陈庆虎 沙 健 焦正宽

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二维和三维大双极化子的稳定性

任宇航, 陈庆虎, 沙 健, 焦正宽

STABILITY OF THE LARGE BIPOLARONS IN TWO AND THREE DIMENSIONS

REN YU-HANG, CHEN QING-HU, SHA JIAN, JIAO ZHENG-KUAN
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  • 结合相对运动的近似波函数和修正的Lee(李政道)-Low-Pines变分法,研究了二维和三维大双极化子的稳定性.得到了临界耦合参数αc和临界介电常数比ηc.与近来用完全不同的变分方法求得的结果相一致.还标定了在1/α,η平面上双极化子稳定存在的区域.结果显示,低维材料更有利于双极化子的形成.
    The large bipolaron in two and three dimensions is investigated by combining anapproximate wave functions for the relative motion and the modified Lee-Low-Pines variational method. The values of the critical coupling constant αc above which bipolarons may exist and the critical ratio of dielectric constants ηc below which bipolarons may exist are evaluated, which are very close to the recent results obtained within a totally different variational approach. In addition, the stability region of bipolarons in the 1/α,η plane is clearly plotted. It is also found that low dimensional materials are more favorable for the formation of bipolarons.
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出版历程
  • 收稿日期:  1997-06-04
  • 修回日期:  1997-08-26
  • 刊出日期:  1998-01-05

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