Universal transverse conductance between quantum Hall regions and (2+1) D bosonization

Barci, Daniel G.; Oxman, L. E.

doi:10.1016/s0550-3213(00)00272-8

Cited by 15 publications

(13 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us first briefly review this procedure, known as functional bosonization. [17][18][19][20] The gauge invariance of the action…”

Section: Bosonization and An Effective Theorymentioning

confidence: 99%

See 1 more Smart Citation

Bosonization and effective vector-field theory of the fractional quantum Hall effect

Shizuya

2001

Phys. Rev. B

View full text Add to dashboard Cite

The electromagnetic characteristics of the fractional quantum Hall states are studied by formulating an effective vectorfield theory that takes into account projection to the exact Landau levels from the beginning. The effective theory is constructed, via bosonization, from the electromagnetic response of an incompressible and uniform state. It does not refer to either the composite-boson or composite-fermion picture, but properly reproduces the results of the standard bosonic and fermionic Chern-Simons approaches, thus revealing the universality of the long-wavelength characteristics of the quantum Hall states and the associated quasiparticles. In particular, the dual-field Lagrangian of Lee and Zhang is obtained without invoking the composite-boson picture. An argument is also given to verify, within a vector-field version of the fermionic Chern-Simons theory, the identification by Goldhaber and Jain of a composite fermion as a dressed electron.73.4.Cd, 71.10.Pm

show abstract

“…Let us first briefly review this procedure, known as functional bosonization. [17][18][19][20] The gauge invariance of the action…”

Section: Bosonization and An Effective Theorymentioning

confidence: 99%

“…An effective action analogous to the above was discussed for integer filling earlier. 20 In connection with the v ′ µ integration we remark that any simple choice of gauge for v ′ µ , e.g.,…”

Section: Bosonization and An Effective Theorymentioning

confidence: 99%

Bosonization and effective vector-field theory of the fractional quantum Hall effect

Shizuya

2001

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…In order to evaluate K B , it is necessary to calculate the functional transverse Fourier transform of (36). Since this expression is quadratic, it is a simple task to evaluate the functional integral provided we have properly fixed the gauge.…”

Section: The Gaussian Approximationmentioning

confidence: 99%

Functional Bosonization of Nonrelativistic Fermions in 2+1 Dimensions

Barci¹,

Linhares²,

Queiroz³

et al. 2000

Int. J. Mod. Phys. A

Self Cite

View full text Add to dashboard Cite

We analyze the universality of the bosonization rules in non-relativistic fermionic systems in (2 + 1)d. We show that, in the case of linear fermionic dispersion relations, a general fermionic theory can be mapped into a gauge theory in such a way that the fermionic density maps into a magnetic flux and the fermionic current maps into a transverse electric field. These are universal rules in the sense that they remain valid whatever the interaction considered. We also show that these rules are universal in the case of nonlinear dispersion relations provided we consider only density-density interactions. We apply the functional bosonization formalism to a non-relativistic and non-local massive Thirring-like model and evaluate the spectrum of collective excitations in several limits. In the large mass limit, we are able to exactly calculate this spectrum for arbitrary density-density and current-current interactions. We also analyze the massless case and show that it has no collective excitations for any density-density potential in the Gaussian approximation. Moreover, the presence of current interactions may induce a gapless mode with a linear dispersion relation.

show abstract

“…Notice that this result does not depend neither on the particular geometry of these regions, nor on the current interactions localized outside them. These considerations apply also to the nonrelativistic case, where the parity breaking parameter is given by the external magnetic field [23]. For example, when the first Landau band is completely filled, the induced Chern-Simons coefficient is unambiguously given by σ = 1/(2π), which implies that the value, in usual units, of the universal Hall conductance is e 2 /h.…”

Section: Introductionmentioning

confidence: 99%

The point-splitting regularization of (2+1)d parity breaking models

et al. 2001

View full text Add to dashboard Cite

The coefficient of the Chern-Simons term in the effective action for massive Dirac fermions in three dimensions is computed by using the point-splitting regularization method. We show that in this framework no ambiguities arise. This is related to the fact that the point-splitting regularization does not introduce additional parity breaking effects, implementing one possible physical criterion in order to uniquely characterize the system.

show abstract

Universal transverse conductance between quantum Hall regions and (2+1) D bosonization

Cited by 15 publications

References 51 publications

Bosonization and effective vector-field theory of the fractional quantum Hall effect

Bosonization and effective vector-field theory of the fractional quantum Hall effect

Functional Bosonization of Nonrelativistic Fermions in 2+1 Dimensions

The point-splitting regularization of (2+1)d parity breaking models

Contact Info

Product

Resources

About