TY - JOUR

T1 - Chiral currents in one-dimensional fractional quantum Hall states

AU - Cornfeld, Eyal

AU - Sela, Eran

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/9/29

Y1 - 2015/9/29

N2 - We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio ν of particle density to magnetic flux shapes the phase space, as in quantum Hall effects. In fermionic (bosonic) ladders, when ν equals one over an odd (even) integer, Laughlin fractional quantum Hall (FQH) states are stabilized for sufficiently long-ranged repulsive interactions. As a signature of these fractional states, we find a unique dependence of the chiral currents on particle density and on magnetic flux. This dependence is characterized by the fractional filling factor ν, and forms a stringent test for the realization of FQH states in ladders, using either numerical simulations or future ultracold-atom experiments. The two-leg model is equivalent to a single spinful chain with spin-orbit interactions and a Zeeman magnetic field, and results can thus be directly borrowed from one model to the other.

AB - We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio ν of particle density to magnetic flux shapes the phase space, as in quantum Hall effects. In fermionic (bosonic) ladders, when ν equals one over an odd (even) integer, Laughlin fractional quantum Hall (FQH) states are stabilized for sufficiently long-ranged repulsive interactions. As a signature of these fractional states, we find a unique dependence of the chiral currents on particle density and on magnetic flux. This dependence is characterized by the fractional filling factor ν, and forms a stringent test for the realization of FQH states in ladders, using either numerical simulations or future ultracold-atom experiments. The two-leg model is equivalent to a single spinful chain with spin-orbit interactions and a Zeeman magnetic field, and results can thus be directly borrowed from one model to the other.

UR - http://www.scopus.com/inward/record.url?scp=84944031915&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.92.115446

DO - 10.1103/PhysRevB.92.115446

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AN - SCOPUS:84944031915

SN - 1098-0121

VL - 92

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 11

M1 - 115446

ER -