Statistics-tuned phases of pseudofermions in one dimension

Article

关键词: NEAREST-NEIGHBOR INTERACTION;    FRACTIONAL-STATISTICS;    CORRELATED ELECTRONS;    IDEAL-GAS;    BOSE-GAS;    FERMIONS;    SUPERCONDUCTIVITY;    LATTICE;   

DOI  :  10.1103/PhysRevB.99.165125

来源: SCIE

【 摘 要 】

We show that a quadratic system of pseudofermions, with tunable fractionalized statistics, can host a rich phase diagram on a one-dimensional chain with nearest- and next-nearest-neighbor hopping. Using a combination of numerical and analytical techniques, we show that by varying the statistical angle and the ratio of the hopping, the system stabilizes two Tomonaga-Luttinger liquids (TLL) with central charges c = 1 and 2, respectively, along with the inversion symmetry broken bond-ordered (BO) insulating phase. Interestingly, the two quantum phase transitions in the system, (1) between the two TLLs and (2) the c = 1 TLL and BO phase, can be engendered by solely tuning the statistics of the pseudofermions. Our analysis shows that both these transitions are continuous and novel with the former lacking a local order-parameter based description and the latter of Berezinskii-Kosterlitz-Thouless type. These phases and phase transitions can be of direct experimental relevance in the context of recent studies of fermionic cold atoms.

【 授权许可】

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