Lowest Landau level bosonization

Doretto, R. L.; Caldeira, A. O.; Girvin, S. M.

doi:10.1103/physrevb.71.045339

Cited by 30 publications

(112 citation statements)

References 33 publications

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“…The complete wavefunction therefore becomes (13) where the Gaussian factors have been absorbed into the electronic part of the wavefunction φ * (z i , w µ ). If there are no correlations between particles with different spin orientation, i.e.…”

Section: A Microscopic Theorymentioning

confidence: 99%

“…16,17 One particular example is a recently developed bosonization scheme for the 2D electron gas (2DEG) in a magnetic field. 13,18 The extension presented in Ref. 13, in particular, allows for the treatment of complex many-body structures, such as small skyrmion-antiskyrmion pairs in terms of bound states of the bosonic excitations.…”

Section: Introductionmentioning

confidence: 99%

“…13,18 The extension presented in Ref. 13, in particular, allows for the treatment of complex many-body structures, such as small skyrmion-antiskyrmion pairs in terms of bound states of the bosonic excitations.…”

Section: Introductionmentioning

confidence: 99%

“…12 More recently, the different spin excitations at ν = 1 have been investigated in a bosonization approach. 13 Although the bosonization method of fermionic systems is well established for one-dimensional electron systems, 14,15 only few generalizations to higher dimensions have been proposed. 16,17 One particular example is a recently developed bosonization scheme for the 2D electron gas (2DEG) in a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…In Sec. III, we apply the previously developed bosonization method 13 to the obtained CF Hamiltonian and study the dispersion relation of the resulting bosons. Bound states of two of these elementary excitations, which we interpret as small skyrmion-antiskyrmion pairs, are also considered.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Spin-excitations of the quantum Hall ferromagnet of composite fermions

Doretto¹,

Goerbig²,

Lederer³

et al. 2005

Phys. Rev. B

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The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite fermions with an extra discrete degree of freedom. Here, we mainly investigate the spin degrees of freedom, but the proposed formalism may be useful also in the study of bilayer quantum-Hall systems, where the layer index may formally be treated as an isospin. In a second step, we apply a bosonization scheme, recently developed for the study of the two-dimensional electron gas, to the interacting composite-fermion Hamiltonian. The dispersion of the bosons, which represent quasiparticle-quasihole excitations, is analytically evaluated for fractional quantum Hall systems at ν = 1/3 and ν = 1/5. The finite width of the two-dimensional electron gas is also taken into account explicitly. Furthermore, we consider the interacting bosonic model and calculate the lowest-energy state for two bosons. In addition to a continuum describing scattering states, we find a bound-state of two bosons. This state is interpreted as a pair excitation, which consists of a skyrmion of composite fermions and an antiskyrmion of composite fermions. The dispersion relation of the two-boson state is evaluated for ν = 1/3 and ν = 1/5. Finally, we show that our theory provides the microscopic basis for a phenomenological non-linear sigma-model for studying the skyrmion of composite fermions.

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Section: A Microscopic Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Spin-excitations of the quantum Hall ferromagnet of composite fermions

Doretto¹,

Goerbig²,

Lederer³

et al. 2005

Phys. Rev. B

Self Cite

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Effect of strain on the excitonic polarization in graphene ribbons

Peng

Wang

2012

Physica Status Solidi (b)

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We study the coherent polarization of excitons in strained graphene ribbons using a bosonization scheme. Within linear elastic theory and a tight-binding approach, we observe that strain can generate a marked influence on the coherent polarization of excitons and even effectively enhance polar-ization of excitons on certain conditions. We find that the polarization direction of the positive-wavevector excitons is opposite to that of the negative-wavevector excitons under high strain. We explain the micromechanism of generating these phenomena.

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Forward scattering approximation and bosonization in integer quantum Hall systems

2008

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In this work we present a model and a method to study integer quantum Hall (IQH) systems. Making use of the Landau levels structure we divide these two dimensional systems into a set of interacting one dimensional gases, one for each guiding center. We show that the so-called strong field approximation, used by Kallin and Halperin and by MacDonald, is equivalent, in first order, to a forward scattering approximation and analyze the IQH systems within this approximation. Using an appropriate variation of the Landau level bosonization method we obtain the dispersion relations for the collective excitations and the single particle spectral functions. For the bulk states, these results evidence a behavior typical of non-normal strongly correlated systems, including the spin-charge splitting of the single particle spectral function. We discuss the origin of this behavior in the light of the Tomonaga-Luttinger model and the bosonization of two dimensional electron gases.

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Lowest Landau level bosonization

Cited by 30 publications

References 33 publications

Spin-excitations of the quantum Hall ferromagnet of composite fermions

Spin-excitations of the quantum Hall ferromagnet of composite fermions

Effect of strain on the excitonic polarization in graphene ribbons

Forward scattering approximation and bosonization in integer quantum Hall systems

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