Convective boson-fermion pairing mode in one-dimensional oscillating optical superlattice

Si, Tieyan

doi:10.1016/j.physleta.2019.126018

Cited by 2 publications

(2 citation statements)

References 34 publications

(31 reference statements)

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“…The existed serials of fractional charge in FQHE are well explained by topological fusion of winding paths around flux pairs, revealing the topological root of Jain's composite fermion theory. Similar winding path also exists as energy flow in momentum space of boson-fermion pairing model [31]. The winding path can be mapped into knot lattice.…”

Section: Discussionmentioning

confidence: 87%

Fractionally Charged Anyon Generated by Topological Path Fusion in Magnetic Flux Lattice

Si¹

2020

Preprint

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Anyon usually exists as collective excitation of two dimensional electron gas subjected to strong magnetic field, carrying fractional charges and exotic statistical character beyond fermion and boson. Fractional quantum Hall effect (FQHE) is the only experimental system showing solid evidence of anyon and a serial of fractional charges so far. Searching for new serial of fractional charges in FQHE or other physical system is still a challenge for both theoretical and experimental study. Here a topological fusion theory of propagating paths winding around a pair of fluxes is proposed to explore the physical origin of fractional charges. This topological path fusion theory not only generated all of the existed serial of fractional charges in FQHE and found the exact correspondence between FQHE and integral quantum Hall effect (IQHE), but also predicted new serial of fractional charges in FQHE. Further more, serial irrational charges like $2/(3+\sqrt{2})$ in one dimensional lattice of magnetic fluxes as well as that in two dimensional lattice of magnetic fluxes, such as $(1+\sqrt{2})$, are predicted. Even in three dimensional network of magnetic fluxes, a serial of fractionally charged anyon is predicted by this topological path fusion theory, which has exactly correspondence with the knot lattice model of anyon. In fact, in a multi-connected space time without magnetic field, this topological path fusion theory still holds, revealing an universal existence of fractional charge and mass in quantum material with strong confinement of particles (such as photonic crystal with porous nano-structures) and paving a new way for topological quantum computation.

show abstract

Section: Discussionmentioning

confidence: 87%

Fractionally Charged Anyon Generated by Topological Path Fusion in Magnetic Flux Lattice

Si¹

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The existed serials of fractional charge in FQHE are well explained by topological fusion of winding paths around flux pairs, revealing the topological root of Jain's composite fermion theory. Similar winding path also exists as energy flow in momentum space of boson-fermion pairing model [32]. The winding path can be mapped into knot lattice.…”

Section: Discussionmentioning

confidence: 87%

Fractionally charged anyon generated by topological path fusion in magnetic flux lattice

2020

Preprint

Self Cite

View full text Add to dashboard Cite

Anyon usually exists as collective excitation of two dimensional electron gas subjected to strong magnetic field, carrying fractional charges and exotic statistical character beyond fermion and boson. Fractional quantum Hall effect (FQHE) is the only experimental system showing solid evidence of anyon and a serial of fractional charges so far. Searching for new serial of fractional charges in FQHE or other physical system is still a challenge for both theoretical and experimental study. Here a topological fusion theory of propagating paths winding around a pair of fluxes is proposed to explore the physical origin of fractional charges. This topological path fusion theory not only generated all of the existed serial of fractional charges in FQHE and found the exact correspondence between FQHE and integral quantum Hall effect (IQHE), but also predicted new serial of fractional charges in FQHE. Further more, serial irrational charges like 2/(3 + √ 2) in one dimensional lattice of magnetic fluxes as well as that in two dimensional lattice of magnetic fluxes, such as (1 + √ 2), are predicted. Even in three dimensional network of magnetic fluxes, a serial of fractionally charged anyon is predicted by this topological path fusion theory, which has exactly correspondence with the knot lattice model of anyon. In fact, in a multi-connected space time without magnetic field, this topological path fusion theory still holds, revealing an universal existence of fractional charge and mass in quantum material with strong confinement of particles (such as photonic crystal with porous nano-structures) and paving a new way for topological quantum computation.

show abstract

Convective boson-fermion pairing mode in one-dimensional oscillating optical superlattice

Cited by 2 publications

References 34 publications

Fractionally Charged Anyon Generated by Topological Path Fusion in Magnetic Flux Lattice

Fractionally Charged Anyon Generated by Topological Path Fusion in Magnetic Flux Lattice

Fractionally charged anyon generated by topological path fusion in magnetic flux lattice

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