Representation of the Coulomb Matrix Elements by Means of Appell Hypergeometric Function F 2.
Mathematical Physics, Analysis and Geometry, 21(2), p.10, 2018.
Ciftja, O.,
Quantum Hall Edge Physics and its One-Dimensional Luttinger Liquid Description.
In Luttinger Model: The First 50 Years and Some New Directions, ed. by: V. Mastropietro and D.C. Mattis (pp. 121-143). World Scientific. ISBN: 978-981-4520-71-3, 2014.
Soulé, P., Jolicoeur, T. and Lecheminant, P.,
Many-body study of a quantum point contact in the fractional quantum Hall regime at ν= 5/2.
Physical Review B, 88(23), p.235107, 2013.
Soule, P. and Jolicoeur, T.,
Edge properties of principal fractional quantum Hall states in the cylinder geometry.
Physical Review B, 86(11), p.115214, 2012.
Ciftja, O.,
Quantum Hall Edge Physics and its One-Dimensional Luttinger Liquid Description.
International Journal of Modern Physics B, 26(22), p.1244001, 2012.
Jaya, S.G.,
Multipartite states and Luttinger liquids of composite fermions.
The Pennsylvania State University. Doctoral dissertation, The Pennsylvania State University, 2012.
Sreejith, G.J., Jolad, S., Sen, D. and Jain, J.K.,
Microscopic study of the 2 5 fractional quantum Hall edge.
Physical Review B, 84(24), p.245104, 2011.
Wei, H., Zhao-Long, W. and Mu-Lin, Y.,
Noncommutative Chern–Simons Description of the Fractional Quantum Hall Edge.
Chinese Physics Letters, 27(6), p.067304, 2010.
Jolad, S.,
Physics at the edge of fractional quantum Hall systems.
Doctoral dissertation, The Pennsylvania State University, 2010.
Nesteroff, J.A.,
Coherent quasiparticle transport in multi-antidot structures with potential applications to quantum information.
Doctoral dissertation, State University of New York at Stony Brook, 2009.
Horsdal, M.,
Effects of interaction-induced second Landau level mixing in the ν = 1 quantum Hall effect.
Physical Review B, 77(19), p.195312, 2008.
Horsdal, M. and Leinaas, J.M.,
Explicit mapping between a two-dimensional quantum Hall system and a one-dimensional Luttinger liquid. I. Luttinger parameters.
Physical Review B, 76(19), p.195321, 2007.
Merlo, M., Braggio, A., Magnoli, N. and Sassetti, M.,
Transport of fractional Hall quasiparticles through an antidot.
Physical Review B, 75(19), p.195332, 2007.
Horsdal, M. and Leinaas, J.M.,
Explicit mapping between a two-dimensional quantum Hall system and a one-dimensional Luttinger liquid. II. Correlation functions.
Physical Review B, 76(19), p.195322. arXiv preprint cond-mat/0703496, 2007.
Averin, D.V. and Nesteroff, J.A.,
Correlated transport of FQHE quasiparticles in a double-antidot system.
Physica E: Low-dimensional Systems and Nanostructures, 40(1), pp.58-66, 2007.
Grayson, M.,
Electron correlations at the fractional quantum Hall edge.
Solid state communications, 140(2), pp.66-71, 2006.
Tsiper, E.V.,
Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime.
Physical review letters, 97(7), p.076802, 2006.
Basu, B. and Bandyopadhyay, P.,
Fractional quantum Hall edge electrons and Berry's phase.
Physica Scripta, 73(4), p.332, 2006.
Patton, K.R. and Geller, M.R.,
Infrared catastrophe and tunneling into strongly correlated electron systems: Exact x-ray edge limit for the one-dimensional electron gas and two-dimensional Hall fluid.
Physical Review B, 73(24), p.245306, 2006.
Patton, K.R.,
Tunneling in low-dimensional and strongly correlated electron systems
Doctoral dissertation, University of Georgia, 2006.
Tsiper, E.V.,
Computer simulation of resonant tunneling through quantum antidot in the fractional quantum Hall regime: evidence of fractional quantization of electric charge.
Nanostructures: physics and Technology, p.127, 2006.
Wan, X., Evers, F. and Rezayi, E.H.,
Universality of the edge-tunneling exponent of fractional quantum Hall liquids.
Physical review letters, 94(16), p.166804, 2005.
Jeon, G.S., Güçlü, A.D., Umrigar, C.J. and Jain, J.K.,
Composite-fermion antiparticle description of the hole excitation in a maximum-density droplet with a small number of electrons.
Physical Review B, 72(24), p.245312, 2005.
Patton, K.R. and Geller, M.R.,
Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit.
Physical Review B, 72(12), p.125108, 2005.
Jeon, G.S. and Jain, J.K.,
Density profile of a hole at the fractional Hall edge.
Physical Review B, 71(4), p.045337, 2005.
Jeon, G.S., Peterson, M.R. and Jain, J.K.,
Microscopic tests of topological electron-vortex binding in the fractional Hall effect.
Physical Review B, 72(3), p.035304, 2005.
Patton, K.R. and Geller, M.R.,
Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid.
arXiv preprint cond-mat/0510601, 2005.
Boyarsky, A., Cheianov, V.V. and Ruchayskiy, O.,
Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge.
Physical Review B, 70(23), p.235309, 2004.
Nguyen, H.K., Joglekar, Y.N. and Murthy, G.,
Collective edge modes in fractional quantum Hall systems.
Physical Review B, 70(3), p.035324, 2004.
Basu, B. and Bandyopadhyay, P.,
Fractional Quantum Hall Edge Electrons, Chiral Anomaly and the Berry Phase.
arXiv preprint cond-mat/0401418, 2004.
Grayson, M.,
Electronic correlations at the edge of a quantum Hall liquid.
In The Electron Liquid Paradigm in Condensed Matter Physics, ed by G. F. Giuliani, G.F. and Vignale G. (pp. 515-526). IOS Press. ISBN: 978-1-58603-446-7, 2004.
Jain, J.K.,
Composite fermions: Edge states and fractional statistics.
In The Electron Liquid Paradigm in Condensed Matter Physics, ed by G. F. Giuliani, G.F. and Vignale G. (pp. 499-513). IOS Press. ISBN: 978-1-58603-446-7, 2004.
Chang, A.M.,
Chiral Luttinger liquids at the fractional quantum Hall edge.
Reviews of Modern Physics, 75(4), p.1449, 2003.
Murthy, G. and Shankar, R.,
Hamiltonian theories of the fractional quantum Hall effect.
Reviews of Modern Physics, 75(4), p.1101, 2003.
Yannouleas, C. and Landman, U.,
Two-dimensional quantum dots in high magnetic fields: rotating-electron-molecule versus composite-fermion approach.
Physical Review B, 68(3), p.035326, 2003.
Yang, K.,
Field theoretical description of quantum Hall edge reconstruction.
Physical review letters, 91(3), p.036802, 2003.
Wan, X., Rezayi, E.H. and Yang, K.,
Edge reconstruction in the fractional quantum Hall regime.
Physical Review B, 68(12), p.125307, 2003.
Joglekar, Y.N., Nguyen, H.K. and Murthy, G.,
Edge reconstructions in fractional quantum Hall systems.
Physical Review B, 68(3), p.035332, 2003.
Hilke, M., C. Tsui, D., N. Pfeiffer, L. and W. West, K.,
Experiments on the Fermi to Tomonaga–Luttinger Liquid Transition in Quasi-1D Systems.
Journal of the Physical Society of Japan, 72(Suppl. A), pp.92-95, 2003.
Yannouleas, C. and Landman, U.,
Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields.
Physical Review B, 66(11), p.115315, 2002.
Mandal, S.S. and Jain, J.K.,
Relevance of inter-composite-fermion interaction to the edge Tomonaga-Luttinger liquid.
Physical review letters, 89(9), p.096801, 2002.
Tsiper, E.V.,
Analytic Coulomb matrix elements in the lowest Landau level in disk geometry.
Journal of Mathematical Physics, 43(3), pp.1664-1667, 2002.
Murthy, G. and Shankar, R.,
Hamiltonian Theories of the FQHE.
arXiv preprint cond-mat/0205326, 2002.
Chang, A.M.,
Is the chiral Luttinger liquid exponent universal?.
Comptes Rendus Physique, 3(6), pp.677-684, 2002.
Murthy, G. and Shankar, R.,
Hamiltonian Theory of the FQHE.
arXiv preprint cond-mat/0205326, 2002.
Shrivastava, K.N.,
Multiple gaps in quantum Hall effect including review of prl 1998-2001 papers.
arXiv preprint cond-mat/0201232, 2002.
Hilke, M., Tsui, D.C., Grayson, M., Pfeiffer, L.N. and West, K.W.,
Fermi liquid to Luttinger liquid transition at the edge of a two-dimensional electron gas.
Physical review letters, 87(18), p.186806, 2001.
Tsiper, E.V. and Goldman, V.J.,
Formation of an edge striped phase in the ν = 1/3 fractional quantum Hall system.
Physical Review B, 64(16), p.165311, 2001.
Mandall, S.S. and Jain, J.K.,
How universal is the fractional-quantum-Hall edge Luttinger liquid?
Solid State Communications, 118: (10) pp.503-507, 2001.