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Statistics-tuned phases of pseudofermions in one dimension

Agarwala, Adhip and Gupta, Gaurav Kumar and Shenoy, Vijay B and Bhattacharjee, Subhro (2019) Statistics-tuned phases of pseudofermions in one dimension. In: PHYSICAL REVIEW B, 99 (16).

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Official URL: https://dx.doi.org/10.1103/PhysRevB.99.165125


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.

Item Type: Journal Article
Additional Information: The copyright for this article belongs to AMER PHYSICAL SOC
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 17 May 2019 11:20
Last Modified: 17 May 2019 11:20
URI: http://eprints.iisc.ac.in/id/eprint/62662

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