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Systematic investigation of the effects of disorder at the lowest order throughout the BCS-BEC crossover

机译：在整个BCS-BEC交叉中以最低顺序对疾病的影响进行系统研究

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摘要

A systematic investigation of the effects of disorder on the BCS-BEC crossover at the lowest order in the impurity potential is presented for the normal phase above the critical temperature T_C. Starting with the t-matrix approach for the clean system, by which pairing correlations between opposite-spin fermions evolve from the weak-coupling (BCS) to the strong-coupling (BEC) limits by increasing the strength of the attractive interpatticle interaction, all possible diagrammatic processes are considered where the effects of a disordered potential are retained in the self-energy at the lowest order. An accurate numerical investigation is carried out for all these diagrammatic terms, to determine which of them are mostly important throughout the BCS-BEC crossover. Explicit calculations for the values of T_C, the chemical potential, and the Tan's contact are carried out. In addition, the effect of disorder on the single-particle spectral function is analyzed, and a correlation is found between an increase of T_C and a widening of the pseudogap energy at T_C on the BCS side of unitarity in the presence of disorder, while on the BEC side of unitarity the presence of disorder favors the collapse of the underlying Fermi surface. The present investigation is meant to orient future studies when the effects of disorder will be considered at higher orders, with the purpose of limiting the proliferation of diagrammatic terms in which interaction and disorder are considered simultaneously.
机译：对于临界温度T_C以上的正相，对杂质电势中最低阶的无序对BCS-BEC交叉的影响进行了系统研究。从用于清洁系统的t矩阵方法开始，通过增加有吸引力的粒子间相互作用的强度，反向旋转的费米子之间的配对相关性从弱耦合（BCS）限制变为强耦合（BEC）限制，所有考虑了可能的图解过程，其中无序电势的影响以最低顺序保留在自能量中。对所有这些图解术语进行了精确的数值研究，以确定其中哪些在整个BCS-BEC交叉中最重要。进行了T_C值，化学势和Tan接触的显式计算。此外，分析了无序对单粒子光谱函数的影响，并且在存在无序的情况下，在单一性的BCS侧，T_C的增加与T_C处伪能的变宽之间存在相关性。在BEC统一性方面，无序的存在有利于底层费米表面的塌陷。本研究旨在指导人们在更高层次上考虑障碍的影响时的未来研究，目的是限制同时考虑相互作用和障碍的图解术语的泛滥。

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  • 来源
    《Physical review》 |2013年第17期|174504.1-174504.19|共19页
  • 作者

    F. Palestini; G. C. Strinati;

  • 作者单位

    LENS, Universita di Firenze, 50019 Sesto Fiorentino (FI), Italy,Division of Physics, School of Science and Technology, Universita di Camerino, 62032 Camerino (MC), Italy;

    Division of Physics, School of Science and Technology, Universita di Camerino, 62032 Camerino (MC), Italy,INFN, Sezione di Perugia, 06123 Perugia (PG), Italy;

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  • 正文语种 eng
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  • 关键词

    degenerate fermi gase; boson systems; localization effects (anderson or weak localization);

    机译：简并费米气体玻色子系统本地化影响（安德森或弱本地化）;

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