TY - JOUR
T1 - Spin waves in double fractional quantum Hall systems
AU - Nakajima, T.
AU - Aoki, H.
N1 - Funding Information:
We are gratefutl o TakahiroM izusaki,M ichio Honma and TsutomuS akaifor valuabled iscussionos n the nu-mericafl ormulaein volving3 j-symbolsN, umericacl alcu-lations were done on HITAC $3800 in the Computer Centre,U niversityo f Tokyo. This work is in part supported by a Grant-in-Aidf rom the Ministry of Education, Sciencea nd Culture,J apan.
PY - 1994
Y1 - 1994
N2 - We have numerically obtained all the low-lying excitations for the double fractional quantum Hall (FQH) system by the exact diagonalization of finite systems. To interpret the results, the spin-wave (magnon) theory for the FQH system is rewritten for the spherical geometry to exploit the rotational symmetry. Remarkably, all the low-lying excitations in the single-layer system of spin 1 2 electrons at the Landau level filling v = 1 can be entirely interpreted in terms of multiplets of nearly-free magnons. We have also obtained the low-lying excitations in the double-layer system of spin-polarized electrons with layer separation d and inter-layer tunneling characterized by △SAS to analyze single- and multi-(pseudo) magnon excitations.
AB - We have numerically obtained all the low-lying excitations for the double fractional quantum Hall (FQH) system by the exact diagonalization of finite systems. To interpret the results, the spin-wave (magnon) theory for the FQH system is rewritten for the spherical geometry to exploit the rotational symmetry. Remarkably, all the low-lying excitations in the single-layer system of spin 1 2 electrons at the Landau level filling v = 1 can be entirely interpreted in terms of multiplets of nearly-free magnons. We have also obtained the low-lying excitations in the double-layer system of spin-polarized electrons with layer separation d and inter-layer tunneling characterized by △SAS to analyze single- and multi-(pseudo) magnon excitations.
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U2 - 10.1016/0921-4526(94)91108-8
DO - 10.1016/0921-4526(94)91108-8
M3 - Article
AN - SCOPUS:0028478696
VL - 201
SP - 327
EP - 330
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
SN - 0921-4526
IS - C
ER -