@article{ISI:000465165000004,
 abstract = {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.},
 article-number = {165125},
 author = {Agarwala, Adhip and Gupta, Gaurav Kumar and Shenoy, Vijay B. and
Bhattacharjee, Subhro},
 doi = {10.1103/PhysRevB.99.165125},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {APR 17},
 number = {16},
 times-cited = {2},
 title = {Statistics-tuned phases of pseudofermions in one dimension},
 unique-id = {ISI:000465165000004},
 volume = {99},
 year = {2019}
}