Fractionalization into Merons in Quantum Dots

Petković, Aleksandra; Mv, Milovanović

doi:10.1103/physrevlett.98.066808

Cited by 18 publications

(21 citation statements)

References 23 publications

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“…Further merons of higher meron number (n = 2 or 3), "giant merons", are highly unlikely in larger droplets, N > 5, as described in Ref. 16. This will likely cause that implied N/2 periodicity would be slightly modified, as entering merons would accomodate also on orbitals away, off the center just in the case of vortex excitations in the completely polarized case.…”

Section: Excitationsmentioning

confidence: 95%

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Meron ground states of quantum Hall droplets

2009

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We argue that topological meron excitations, which are in a strong coupling phase (bound in pairs) in infinite quantum Hall ferromagnets, become deconfined in finite size quantum Hall systems. Although effectively for larger systems meron energy grows with the size of the system, when gyromagnetic ratio is small meron becomes the lowest lying state of a quantum Hall droplet. This comes as a consequence of the many-body correlations built in the meron construction that minimize the interaction energy. We demonstrate this by using mean field ansatzes for meron wave function. The ansatzes will enable us to consider much larger system sizes than in the previous work [A. Petkovic and M.V. Milovanovic, PRL 98, 066808 (2007)], where fractionalization into merons was introduced.Comment: 6 pages, 6 figure

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Section: Excitationsmentioning

confidence: 95%

“…4 Besides the study in Ref. 16 of small systems, there are studies in Refs. 10,24,25 without the LLL approximation that find depolarized states that we can identify as meron ground states.…”

Section: Excitationsmentioning

confidence: 99%

Meron ground states of quantum Hall droplets

2009

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“…for the lowest-lying states in very small quantum dots at strong magnetic fields (in the limit of vanishing Zeeman coupling), see (Petkovic and Milovanovic, 2007).…”

Section: Single-vortex States In Electron Dropletsmentioning

confidence: 99%

Vortices in quantum droplets: Analogies between boson and fermion systems

et al. 2010

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The main theme of this review is the many-body physics of vortices in quantum droplets of bosons or fermions, in the limit of small particle numbers. Systems of interest include cold atoms in traps as well as electrons confined in quantum dots. When set to rotate, these in principle very different quantum systems show remarkable analogies. The topics reviewed include the structure of the finite rotating many-body state, universality of vortex formation and localization of vortices in both bosonic and fermionic systems, and the emergence of particle-vortex composites in the quantum Hall regime. An overview of the computational many-body techniques sets focus on the configuration interaction and density-functional methods. Studies of quantum droplets with one or several particle components, where vortices as well as coreless vortices may occur, are reviewed, and theoretical as well as experimental challenges are discussed. 12 F. Mapping between fermions and bosons 13III. Computational many-body methods 13 A. The Gross-Pitaevskii approach for trapped bosons 14 * Present address:

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“…These spin textures are plotted using the real-space wave functions of the 2D harmonic trap. 22 Previous work [14][15][16] has focused on lowest-Landau-level physics or on semiclassical approximations. The present numerically exact results show that merons can exist far beyond the semiclassical regime; right down to the extreme quantum limit of very few confined particles where correlations are strongest.…”

Section: Meron Texturesmentioning

confidence: 99%

“…Recent literature predicts the formation of merons in confined systems such as QDs in large magnetic fields. [14][15][16] In this work, we use configuration-interaction techniques to study a fully interacting QD system to provide conclusive evidence for the formation of merons in the ground state. We find that merons form in systems containing as few as three particles, 17 at magnetic fields as low as 0.2 T, and away from the maximum density droplet regime.…”

Section: Introductionmentioning

confidence: 99%

Chiral spin currents and spectroscopically accessible single merons in quantum dots

Stevenson

Kyriakidis

2011

Phys. Rev. B

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We provide unambiguous theoretical evidence for the formation of correlation-induced isolated merons in rotationally symmetric quantum dots. Our calculations rely on neither the lowest-Landau-level approximation, nor on the maximum-density-droplet approximation, nor on the existence of a spin-polarized state. For experimentally accessible system parameters, unbound merons condense in the ground state at magnetic fields as low as B * = 0.2 T and for as few as N = 3 confined fermions. The fourfold degenerate ground state at B * corresponds to four orthogonal merons |QC characterized by their topological chirality C and charge Q. This degeneracy is lifted by the Rashba and Dresselhaus spin-orbit interaction, which we include perturbatively, yielding spectroscopic accessibility to individual merons. We further derive a closed-form expression for the topological chirality in the form of a chiral spin current and use it to both characterize our states and predict the existence of other topological textures in other regions of phase space, for example, at N = 5. Finally, we compare the spin textures of our numerically exact meron states to ansatz wave functions of merons in quantum Hall droplets and find that the ansatz qualitatively describes the meron states.

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Fractionalization into Merons in Quantum Dots

Cited by 18 publications

References 23 publications

Meron ground states of quantum Hall droplets

Meron ground states of quantum Hall droplets

Vortices in quantum droplets: Analogies between boson and fermion systems

Chiral spin currents and spectroscopically accessible single merons in quantum dots

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