TY - JOUR
T1 - Wave Function and Emergent SU(2) Symmetry in the νt=1 Quantum Hall Bilayer
AU - Lian, Biao
AU - Zhang, Shou Cheng
N1 - Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/2/16
Y1 - 2018/2/16
N2 - We propose a trial wave function for the quantum Hall bilayer system of total filling factor νT=1 at a layer distance d to magnetic length ratio d/=κc1≈1.1, where the lowest charged excitation is known to have a level crossing. The wave function has two-particle correlations, which fit well with those in previous numerical studies, and can be viewed as a Bose-Einstein condensate of free excitons formed by composite bosons and anticomposite bosons in different layers. We show the free nature of these excitons indicating an emergent SU(2) symmetry for the composite bosons at d/=κc1, which leads to the level crossing in low-lying charged excitations. We further show the overlap between the trial wave function, and the ground state of a small size exact diagonalization is peaked near d/=κc1, which supports our theory.
AB - We propose a trial wave function for the quantum Hall bilayer system of total filling factor νT=1 at a layer distance d to magnetic length ratio d/=κc1≈1.1, where the lowest charged excitation is known to have a level crossing. The wave function has two-particle correlations, which fit well with those in previous numerical studies, and can be viewed as a Bose-Einstein condensate of free excitons formed by composite bosons and anticomposite bosons in different layers. We show the free nature of these excitons indicating an emergent SU(2) symmetry for the composite bosons at d/=κc1, which leads to the level crossing in low-lying charged excitations. We further show the overlap between the trial wave function, and the ground state of a small size exact diagonalization is peaked near d/=κc1, which supports our theory.
UR - http://www.scopus.com/inward/record.url?scp=85042151217&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85042151217&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.077601
DO - 10.1103/PhysRevLett.120.077601
M3 - Article
C2 - 29542942
AN - SCOPUS:85042151217
SN - 0031-9007
VL - 120
JO - Physical review letters
JF - Physical review letters
IS - 7
M1 - 077601
ER -