Electron correlation in the second Landau level: a competition between many nearly degenerate quantum phases.

At a very low-temperature of 9 mK, electrons in the second Landau level of an extremely high-mobility two-dimensional electron system exhibit a very complex electronic behavior. With a varying filling factor, quantum liquids of different origins compete with several insulating phases leading to an irregular pattern in the transport parameters. We observe a fully developed nu=2+2/5 state separated from the even-denominator nu=2+1/2 state by an insulating phase and a nu=2+2/7 and nu=2+1/5 state surrounded by such phases. A developing plateau at nu=2+3/8 points to the existence of other even-denominator states.

[1]  C. M. Smith,et al.  Competition between quantum-liquid and electron-solid phases in intermediate Landau levels , 2003, cond-mat/0310383.

[2]  E. Fradkin,et al.  Fermion Chern-Simons theory of hierarchical fractional quantum Hall states , 2003, cond-mat/0310128.

[3]  A. Wójs,et al.  Novel families of fractional quantum Hall states: pairing of composite fermions , 2003, cond-mat/0309435.

[4]  D. Yoshioka,et al.  Ground state phase diagram of 2D electrons in high magnetic field , 2002, cond-mat/0308122.

[5]  K. West,et al.  Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor. , 2002, Physical review letters.

[6]  K. West,et al.  Correlation lengths of the wigner-crystal order in a two-dimensional electron system at high magnetic fields. , 2002, Physical review letters.

[7]  E. Rezayi,et al.  Possible pairing-induced even-denominator fractional quantum Hall effect in the lowest Landau level. , 2002, Physical review letters.

[8]  K. West,et al.  Insulating and fractional quantum hall states in the first excited Landau level. , 2001, Physical review letters.

[9]  J. Jain,et al.  Excitonic collapse of higher Landau level fractional quantum Hall effect , 2000, cond-mat/0011512.

[10]  J. Jain,et al.  Cooper instability of composite fermions , 2000, Nature.

[11]  Haldane,et al.  Incompressible paired hall state, stripe order, and the composite fermion liquid phase in half-filled landau levels , 1999, Physical review letters.

[12]  K. West,et al.  Exact Quantization of the Even-Denominator Fractional Quantum Hall State at ν = 5 / 2 Landau Level Filling Factor , 1999, cond-mat/9907356.

[13]  L. Pfeiffer,et al.  Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field , 1999, cond-mat/9903196.

[14]  K. West,et al.  Strongly Anisotropic Electronic Transport at Landau Level Filling Factor [nu] =9/2 and [nu] =5/2 under a Tilted Magnetic Field , 1999, cond-mat/9903160.

[15]  K. West,et al.  Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels , 1998, cond-mat/9812025.

[16]  N. Read,et al.  Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level , 1998, cond-mat/9809384.

[17]  L. Pfeiffer,et al.  Reply to Simon's Comment on "Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels" , 1998, cond-mat/9903153.

[18]  R. Morf.  TRANSITION FROM QUANTUM HALL TO COMPRESSIBLE STATES IN THE SECOND LANDAU LEVEL : NEW LIGHT ON THE V = 5/2 ENIGMA , 1998, cond-mat/9809024.

[19]  Ground state of a two-dimensional electron liquid in a weak magnetic field. , 1996, Physical review. B, Condensed matter.

[20]  Morf,et al.  Stability and effective masses of composite fermions in the first and second Landau level. , 1994, Physical review letters.

[21]  T. Chakraborty,et al.  The Quantum Hall Effects , 1995 .

[22]  S. Brook,et al.  Theoretical study of the stability of the fractional quantum Hall effect in higher Landau levels , 1994, cond-mat/9409020.

[23]  West,et al.  Experimental evidence for new particles in the fractional quantum Hall effect. , 1993, Physical review letters.

[24]  Lee,et al.  Theory of the half-filled Landau level. , 1993, Physical review. B, Condensed matter.

[25]  Gregory W. Moore,et al.  Nonabelions in the fractional quantum Hall effect , 1991 .

[26]  Wilczek,et al.  Paired Hall state at half filling. , 1991, Physical review letters.

[27]  West,et al.  Quantum liquid versus electron solid around nu =1/5 Landau-level filling. , 1990, Physical review letters.

[28]  Jain,et al.  Composite-fermion approach for the fractional quantum Hall effect. , 1989, Physical review letters.

[29]  Tsui,et al.  Activation energies and localization in the fractional quantum Hall effect. , 1987, Physical review. B, Condensed matter.

[30]  Tsui,et al.  Observation of an even-denominator quantum number in the fractional quantum Hall effect. , 1987, Physical review letters.

[31]  B. Halperin.  Statistics of quasiparticles and the hierarchy of fractional quantized Hall states , 1984 .

[32]  F. Haldane,et al.  Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States , 1983 .

[33]  R. Laughlin.  Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations , 1983 .

[34]  D. C. Tsui,et al.  Two-Dimensional Magnetotransport in the Extreme Quantum Limit , 1982 .

[35]  P. M. Platzman,et al.  The two-dimensional electron gas in a strong magnetic field , 1978 .