# Broken symmetry of two-component nu =1/2 quantum Hall states.

@article{Ho1995BrokenSO, title={Broken symmetry of two-component nu =1/2 quantum Hall states.}, author={Ho}, journal={Physical review letters}, year={1995}, volume={75 6}, pages={ 1186-1189 } }

We show that the recently discovered $\nu=1/2$ quantum Hall states in bilayer systems are triplet p-wave pairing states of composite Fermions, of exactly the same form as $^{3}$He superfluids. The observed persistence (though weakening) of the $\nu=1/2$ state in the two- to one-component crossover region corresponds to a continuous deformation of the so-called (331) state towards the ``Pfaffian" state, identical to the well known A to A$_{1}$ transition in $^{3}$He. This deformation also…

## Topics from this paper

## 34 Citations

Quantum Hall hierarchy from coupled wires

- PhysicsPhysical Review B
- 2019

The coupled-wire construction provides a useful way to obtain microscopic Hamiltonians for various two-dimensional topological phases, among which fractional quantum Hall states are paradigmatic…

Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics.

- Physics, MedicinePhysical review. B, Condensed matter
- 1996

The quasihole states of several paired states, the Pfaffian, Haldane-Rezayi, and 331 states, are studied, analytically and numerically, in the spherical geometry for the Hamiltonians for which the ground states are known exactly.

2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states

- Physics
- 1996

By explicitly identifying a basis valid for any number of electrons, we demonstrate that simple multi-quasihole wave functions for the v = 12 Pfaffian paired Hall state exhibit an exponential…

Topological Order in Superconductors and Quantum Hall Liquids

- Physics
- 2014

of “Topological Order in Superconductors and Quantum Hall Liquids” by Guang Yang, Ph.D., Brown University, May 2014 Fractional quantum Hall (FQH) liquids are interesting two-dimensional electron…

Gap Evolution in ν=1/2 Bilayer Quantum Hall Systems

- Physics
- 2004

Fractional quantum Hall states in bilayer systems at the total filling fraction ν=1/2 are examined numerically within some ranges of layer separation and interlayer tunneling. It is shown that the…

Exotic phases of correlated electrons in two dimensions

- Physics
- 2011

Exotic phases and associated phase transitions in low dimensions have been a fascinating frontier and a driving force in modern condensed matter physics since the 80s. Due to strong correlation…

Twisted CFT and bilayer quantum Hall systems in the presence of an impurity

- Physics
- 2003

Abstract We identify the impurity interactions of the recently proposed CFT description of a bilayer quantum Hall system at filling ν= m pm+2 [Mod. Phys. Lett. A 15 (2000) 1679]. Such a CFT is…

Identification of topological order in the fractional quantum Hall state at
ν=1/4

- Physics
- 2019

The nature of the fractional quantum Hall state at quarter filling in a wide quantum well is still under debate. Both one-component non-Abelian and two-component Abelian orders have been proposed to…

Even-Denominator Fractional Quantum Hall State in Conventional Triple-Gated Quantum Point Contact

- Physics
- 2021

Fractional quantum Hall states with even denominators have attracted attention owing to their novel carrier interactions and possible applications to error-free quantum manipulations. A well-known…

The Haldane-Rezayi quantum Hall state and conformal field theory

- Physics
- 1997

We propose field theories for the bulk and edge of a quantum Hall state in the universality class of the Haldane-Rezayi wavefunction. The bulk theory is associated with the c = −2 conformal field…

## References

SHOWING 1-10 OF 13 REFERENCES

Origin of the nu =1/2 fractional quantum Hall state in wide single quantum wells.

- Physics, MedicinePhysical review letters
- 1994

The results reveal the two-component origin of the \ensuremath{\nu}=1/2 FQH state, and allow us to construct an experimental phase diagram for electron states at half filling.

Paired Hall states

- Physics
- 1992

The principle that perturbation in quantum statistics should be accompanied by application of an appropriate magnetic field has been successful in giving a simple understanding of major qualitative…

Wigner-crystal phases in bilayer quantum Hall systems.

- Physics, MedicinePhysical review. B, Condensed matter
- 1995

The phase diagram is calculated using a variational scheme which explores a continuum of lattice and spin structure and concludes that the mixed ferromagnetic-antiferromagnetic order as well as the pseudospin-lattice coupling should be general features of most bilayer Wigner crystals.

Quantized Hall effect and quantum phase transitions in coupled two-layer electron systems.

- Physics, MedicinePhysical review. B, Condensed matter
- 1993

The conclusion is that in both the recent experimental realizations of the \ensuremath{\nu}=1/2 fractional quantum Hall effect, the relevant ground state is the so-called ``331'' state which is stabilized by the competition between intrawell and interwell electron-electron correlations.

Quantum Hall ferromagnets.

- Physics, MedicinePhysical review letters
- 1994

This work studies the magnetotransport of bilayer systems using their ``ferromagnetic" properties and a novel spin-charge relation of their excitations to derive a general transport strategy.

New fractional quantum Hall state in double-layer two-dimensional electron systems.

- Medicine, PhysicsPhysical review letters
- 1992

Transport studies on bilayer two-dimensional electron systems in GaAs double quantum wells have revealed a new fractional quantum Hall state that has no known counterpart in a single-layer 2D system, which strongly suggests this new state arises from interlayer Coulomb correlations.

Observation of an even-denominator quantum number in the fractional quantum Hall effect.

- Physics, MedicinePhysical review letters
- 1987

An even-denominator rational quantum number has been observed in the Hall resistance of a two-dimensional electron system and is absent in the lowest Landau level under comparable conditions.

Theories for v=1/2 in Single- and Double-Layer Systems

- Physics
- 1993

Abstract Recent experiments have shown that a quantized Hall plateau can occur in double-layer systems at total filling factor v = 1 2 , though there is no plateau at v = 1 2 in a normal single-layer…

Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces.

- Physics, MedicinePhysical review. B, Condensed matter
- 1990

The ground-state degeneracy provides a new quantum number in addition to the Hall conductance, characterizing different phases of the FQH systems, and the Ginzburg-Landau theory is a dual theory of the U(1) Chern-Simons topological theory.

Composite-fermion approach for the fractional quantum Hall effect.

- Physics, MedicinePhysical review letters
- 1989

It is proposed that the fractional quantum Hall effect of electrons can be physically understood as a manifestation of the integer quantumHall effect of composite fermionic objects consisting of electrons bound to an even number of flux quanta.