NEW MACROSCOPIC QUANTUM STATE IN PEROVSKITE-CRYSTALLINE CONDUCTOR WITH LOCALIZED CARRIER SYSTEM

2000 ◽  
Vol 14 (10) ◽  
pp. 1025-1035
Author(s):  
M. SUGAHARA ◽  
S. OGI ◽  
K. ARAKI ◽  
Y. UEDA ◽  
R. SHIMODA ◽  
...  
Keyword(s):  
Quantum State ◽  
Interference Effect ◽  
Quantum Hall ◽  
Zero Point ◽  
Effective Field ◽  
Layered Perovskite ◽  
Fractional Quantum ◽  
Macroscopic Quantum ◽  
Fractional Quantum Hall ◽  
Coupling Hole

The large zero-point oscillation of energy ~0.1–1 eV of strong coupling hole carriers in layered perovskite (LP) conductor is shown to provide effective field B* ~ 103–4 T causing fractional quantum Hall effect (FQHE) when space charge and moderate localization are present. The quasiparticle excitation spectrum of the FQHE system is calculated. The FQHE state is a macroscopic quantum state where macroscopic interference effect is expected. Using (001) La 2-x Sr x CuO 4-y (LSCO) film, we observed "dc dielectric interference" and the interference effect at 28 THz, which are explicable by the FQHE in the layered perovskite film.

scholarly journals COLLECTIVE COORDINATE ACTION FOR CHARGED SIGMA-MODEL VORTICES IN FINITE GEOMETRIES

1993 ◽  
Vol 08 (19) ◽  
pp. 1815-1820 ◽  
Author(s):  
THEODORE J. ALLEN
Keyword(s):  
Sigma Model ◽  
Quantum Hall ◽  
Finite Size ◽  
Effective Field ◽  
Finite Geometries ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Collective Coordinate ◽  
The Green Function ◽  
Laughlin Wave Function

We apply the method of Lund to formulate a variational principle for the motion of charged vortices in an effective nonlinear Schrödinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variations in the modulus of the effective field yields a U(1) sigma-model. A duality transformation on the sigma-model reduces the problem to finding the Green function for a related electrostatics problem. This duality connects the plasma analogy to the Laughlin wave function directly to a vortex gas description of the fractional quantum Hall effect.

scholarly journals CHERN–SIMONS THEORY OF FRACTIONAL QUANTUM HALL EFFECT IN (PSEUDO) MASSLESS DIRAC ELECTRONS

2011 ◽  
Vol 25 (20) ◽  
pp. 2779-2785
Author(s):  
HUABI ZENG
Keyword(s):  
Quantum Hall ◽  
Effective Field ◽  
Simons Theory ◽  
Arbitrary Integer ◽  
Fractional Quantum ◽  
Hall Conductance ◽  
Fractional Quantum Hall ◽  
Topological Excitations ◽  
Chern Simons ◽  
Chern Simons Theory

We derive the effective-field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be σxy=e2/h(2k-1) where k is arbitrary integer. There are also topological excitations which have fractional charge and obey fractional statistics.

ON TOPOLOGICAL SOLITONS IN U(1) × U(1) PLANAR GAUGE THEORY

1991 ◽  
Vol 06 (27) ◽  
pp. 2547-2553
Author(s):  
JUAN MATEOS GUILARTE
Keyword(s):  
Gauge Theory ◽  
Quantum Hall ◽  
Effective Field ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Solitons ◽  
Mathematical Properties ◽  
Similar Solutions ◽  
Higgs Fields

A new of kind of stable topological solitons in a model of the type arising in the effective field theory for the fractional quantum Hall effect has been discovered. Similar solutions also exists in the standard U (1) × U (1) gauge theory of two complex Higgs fields with a quite general Higgs potential describing superconducting strings. The physical and mathematical properties of both types of solitons are discussed.

scholarly journals PROPERTIES OF QUANTUM HALL SKYRMIONS FROM ANOMALIES

1998 ◽  
Vol 13 (32) ◽  
pp. 2627-2635 ◽  
Author(s):  
S. BAEZ ◽  
A. P. BALACHANDRAN ◽  
A. TRAVESSET ◽  
A. STERN
Keyword(s):  
Quantum Hall ◽  
Effective Field ◽  
Fractional Quantum Hall Effect ◽  
Spin Fluctuations ◽  
Winding Number ◽  
Anomaly Cancellation ◽  
Filling Fraction ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Chern Simons

In this letter, we introduce Fractional Quantum Hall Effect (FQHE) Skyrmions in the Chern–Simons effective field theory description, and we present a new derivation of the FQHE Skyrmions properties, namely charge and spin, which results from considerations at the edge of the Hall sample. At the boundary, we demand anomaly cancellation for the chiral edge currents, as well as, allow for the possibility of Skyrmion creation and annihilation. For the Skyrmion charge and spin, we get the values eνN Sky and νN Sky /2, respectively, where e is electron charge, ν is the filling fraction and N Sky is the Skyrmion winding number. We also add terms to the action so that the classical spin fluctuations in the bulk satisfy the standard equations of a ferromagnet and find that spin waves propagate with the classical drift velocity of the electron.

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