Fermionic bosonic Laughlin state on thick cylinders

Journal of Mathematical Physics

Volumn 53, Issue 12, 2012, Pages

  Jansen, Sabine ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871878538     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4768250     Document Type: Article

References (16)

1. Aizenman M. Jansen S. Jung P. Symmetry breaking in quasi-1D Coulomb systems. Ann. Henri Poincaré 2010, 11:1453-1485. 10.1007/s00023-010-0067-y.
2. Aizenman M. Lieb E.H. Magnetic properties of some itinerant-electron systems at T > 0. Phys. Rev. Lett. 1990, 65:1470-1473. 10.1103/PhysRevLett.65.1470.
3. Aizenman M. Nachtergaele B. Geometric aspects of quantum spin states. Commun. Math. Phys. 1994, 164:17-63. 10.1007/BF02108805.
4. Bratteli O. Robinson D.W. Operator Algebras Quantum Statistical Mechanics. 1 1987, 1. 2nd ed., Texts Monographs in Physics Vol. (Springer-Verlag, New York, ).
5. Daley D.J. Vere-Jones D. An Introduction to the Theory of Point Processes: Vol. I 2003, 1. 2nd ed., Probability its Applications Vol. (Springer-Verlag, New York, ).
6. Forrester P.J. Particles in a magnetic field plasma analogies: doubly periodic boundary conditions. J. Phys. A 2006, 39(41):13025-13036. 10.1088/0305-4470/39/41/S14.
7. Haldane F.D. M. Fractional quantization of the Hall effect: A hierarchy of incompressible quantum fluid states. Phys. Rev. Lett. 1983, 51:605-608. 10.1103/PhysRevLett.51.605.
8. Jansen S. Lieb E.H. Seiler R. Jansen S. Lieb E.H. Seiler R. Laughlin's function on a cylinder: Plasma analogy representation as a quantum polymer. Phys. Status Solidi B 2008, 245:439-446. 10.1007/s00220-008-0576-4, 10.1002/pssb.200743516.
9. Laughlin R.B. Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett. 1983, 50:1395-1398. 10.1103/PhysRevLett.50.1395.
10. Lee D.-H. Leinaas J.M. Mott insulators without symmetry breaking. Phys. Rev. Lett. 2004, 92:096401. 10.1103/PhysRevLett.92.096401.
11. Lewin M. Seiringer R. Strongly correlated phases in rapidly rotating Bose gases. J. Stat. Phys. 2009, 137(5-6):1040-1062. 10.1007/s10955-009-9833-y.
12. Nachtergaele B. Sims R. Lieb-Robinson bounds the exponential clustering theorem. Commun. Math. Phys. 2006, 265:119-130. 10.1007/s00220-006-1556-1.
13. Pokrovsky V.L. Talapov A.L. A simple model for fractional Hall effect. J. Phys. C 1985, 18:L691. 10.1088/0022-3719/18/23/002.
14. Šamaj L. Is the two-dimensional one-component plasma exactly solvable?. J. Stat. Phys. 2004, 117:131-158. 10.1023/B:JOSS.0000044056.19438.2c.
15. Seidel A. Fu H. Lee D.-H. Leinaas J.M. Moore J. Incompressible quantum liquids new conservation laws. Phys. Rev. Lett. 2005, 95:266405. 10.1103/PhysRevLett.95.266405.
16. Trugman S.A. Kivelson S. Exact results for the fractional quantum Hall effect with general interactions. Phys. Rev. B 1985, 31:5280-5284. 10.1103/PhysRevB.31.5280.