Phase Diagram of Interacting Composite Fermions in the Bilayer<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:math>Quantum Hall Effect

Kumada, N.; Terasawa, D.; Shimoda, Y.; Azuhata, H.; Sawada, A.; Ezawa, Zyun F.; Muraki, K.; Saku, T.; Hirayama, Y.

doi:10.1103/physrevlett.89.116802

Cited by 20 publications

(20 citation statements)

References 24 publications

(26 reference statements)

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“…III) By applying a voltage bias as described above, they perform four sweeps in the d, ∆ SAS plane. In one sweep [46] they find a seemingly first-order transition at d/ℓ B ≈ 2, ∆ SAS / e 2 ǫℓB ≈ 0.1. This sweep, and the location of the observed transition, are shown in Fig.…”

Section: Experimental Backgroundmentioning

confidence: 99%

“…Also note that experimental studies [46,85] on this system have observed a spin-polarized system at all the tunneling strengths and interlayer separations accessed, for magnetic fields B ≈ 4-11 T.…”

Section: Spin Polarizationmentioning

confidence: 99%

“…More recently, Refs. [46] and [85] have studied ν = 1/3 + 1/3 in a QHB sample which directly corresponds to the model we study. (see Sec.…”

Section: Experimental Backgroundmentioning

confidence: 99%

“…The black dotted line and square mark the region studied experimentally in Ref. 46, and their observed phase transition.…”

Section: Introductionmentioning

confidence: 99%

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Competing Abelian and non-Abelian topological orders inν=1/3+1/3quantum Hall bilayers

et al. 2015

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Bilayer quantum Hall systems, realized either in two separated wells or in the lowest two sub-bands of a wide quantum well, provide an experimentally realizable way to tune between competing quantum orders at the same filling fraction. Using newly developed density matrix renormalization group techniques combined with exact diagonalization, we return to the problem of quantum Hall bilayers at filling ν = 1/3 + 1/3. We first consider the Coulomb interaction at bilayer separation d, bilayer tunneling energy ∆SAS, and individual layer width w, where we find a phase diagram which includes three competing Abelian phases: a bilayer-Laughlin phase (two nearly decoupled ν = 1/3 layers); a bilayer-spin singlet phase; and a bilayer-symmetric phase. We also study the order of the transitions between these phases. A variety of non-Abelian phases have also been proposed for these systems. While absent in the simplest phase diagram, by slightly modifying the interlayer repulsion we find a robust non-Abelian phase which we identify as the "interlayer-Pfaffian" phase. In addition to non-Abelian statistics similar to the Moore-Read state, it exhibits a novel form of bilayer-spin charge separation. Our results suggest that ν = 1/3 + 1/3 systems merit further experimental study. CONTENTS

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Section: Experimental Backgroundmentioning

confidence: 99%

Section: Spin Polarizationmentioning

confidence: 99%

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Competing Abelian and non-Abelian topological orders inν=1/3+1/3quantum Hall bilayers

et al. 2015

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“…[4][5][6][7][8][9] Resistively -detected nuclear magnetic resonance measurements have shown the involvement of the nuclear spin polarization in the origin of the R xx peak.…”

Section: -4)mentioning

confidence: 99%

Anisotropy of Magnetoresistance Hysteresis around the ν=2/3 Quantum Hall State in Tilted Magnetic Field

et al. 2010

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We present an anisotropy of the hysteretic transport around the spin transition point at the Landau level filling factor ν = 2/3 in a tilted magnetic field. When the direction of the in-plane component of the magnetic field B is normal to the probe current I, a strong hysteretic transport due to the current-induced nuclear spin polarization occurs. When B is parallel to I, on the other hand, the hysteresis almost disappears. We also demonstrate that the nuclear spin-lattice relaxation rate T −1 1 at the transition point increases with decreasing angle between the directions of B and I. These results suggest that the morphology of electron spin domains around ν = 2/3 is affected by the current direction.KEYWORDs: two-dimensional electron system, fractional quantum Hall effect, phase transition, domain structure, nuclear spin system, hyperfine interaction, nuclear spin-lattice relaxation rate An incompressible quantum liquid state of the fractional quantum Hall (QH) effect occurs as a consequence of strong electron-electron interactions in high magnetic field and has continued to be one of the most absorbing subjects in solid state physics.1) In addition, the spin degree of freedom provides a rich variety of quantum phenomena in fractional QH states. Because of the small Zeeman energy of electrons in GaAs, ground states with spin configurations other than the fully polarized one are possible, and transitions between different spin states have been observed at various fractional filling factors ν. 2-4)At the spin transition point of ν = 2/3, an anomalous magnetoresistance R xx peak with hysteretic transport has been observed. [4][5][6][7][8][9] Resistively -detected nuclear magnetic resonance measurements have shown the involvement of the nuclear spin polarization in the origin of the R xx peak.5, 7-9) At the transition point, two fractional QH states with different spin configurations degenerate energetically and an electronic domain structure is formed.9, 10) Because the domain wall between the two fractional QH states connects the edge channels with opposite current direction, the backscattering of electrons through the domain wall increases R xx . 11)In addition, it is believed that when a current passes across a domain boundary, electron spins flip-flop scatter nuclear spins, inducing nuclear spin polarization. 7-9)The current-induced nuclear spin polarization reacts on the electronic domain structure through the hyperfine interaction and changes the properties of the domain structure. This mutual interplay between the domain structure and the current-induced nuclear spin polar- * E-mail address: iwata@tfu-mail.tfu.ac.jp ization causes a long-time variation of R xx in proportion to the nuclear polarization.5, 7) Moreover, hysteresis in R xx , taken with upward and downward field sweeps, has been observed around the transition point, indicating that the degree of nuclear spin polarization depends on the sweep direction.4, 8, 9) However, despite intensive works, details of the domain structure and the mechanism ...

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Quantum Hall effects at Landau level crossings

Hirayama

Muraki

Hashimoto

et al. 2003

Physica E: Low-dimensional Systems and Nanostructures

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Phase Diagram of Interacting Composite Fermions in the Bilayerν=2/3Quantum Hall Effect

Cited by 20 publications

References 24 publications

Competing Abelian and non-Abelian topological orders inν=1/3+1/3quantum Hall bilayers

Competing Abelian and non-Abelian topological orders inν=1/3+1/3quantum Hall bilayers

Anisotropy of Magnetoresistance Hysteresis around the ν=2/3 Quantum Hall State in Tilted Magnetic Field

Quantum Hall effects at Landau level crossings

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