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Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
Kyrylo Snizhko, Vadim Cheianov, Steven H. Simon
Bilayer graphene has been predicted to give unprecedented tunability of the electron-electron interaction with the help of external parameters, allowing one to stabilize different…
Zero Mode Tunnelling in a Fractional Quantum Hall Device
S. Huntington, V. Cheianov
Tunnelling measurements on fractional quantum Hall systems are continuing to increase in popularity since they provide a method to probe the non-Fermi liquid behaviour of fractiona…
Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
Kyrylo Snizhko, Vadim Cheianov
Determination of properties of quasiparticle excitations is an important task in the experimental investigation of the fractional quantum Hall effect (FQHE). We propose a model-ind…
Counting free fermions on a line: a Fisher-Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit
Dmitri A. Ivanov, Alexander G. Abanov, Vadim V. Cheianov
We derive an asymptotic expansion for a Wiener-Hopf determinant arising in the problem of counting one-dimensional free fermions on a line segment at zero temperature. This expansi…
Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene
Kyrylo Snizhko, Vadim Cheianov, Steven H. Simon
Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize differ…
Effective field theories for the edge
Alexey Boyarsky, Vadim Cheianov, Jürg Fröhlich
We present a list of possible effective theories which may describe a QHE edge at filling fraction . We show that there exist several abelian and non-abelian effective theor…
Threshold singularities in the dynamic response of gapless integrable models
V. V. Cheianov, M. Pustilnik
We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrabilit…
One-particle irreducible density matrix for the spin disordered infinite Hubbard chain
Vadim V. Cheianov, M. B. Zvonarev
In this Letter we present a calculation of the one-particle irreducible density matrix for the one-dimensional (1D) Hubbard model in the infinite limit. We consider the…
Zero temperature correlation functions for the impenetrable fermion gas
Vadim V Cheianov, M B Zvonarev
We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin…
Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
Vadim V. Cheianov, M. B. Zvonarev
In this Letter we report exact results on the infrared asymptotics of one-particle dynamical correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temp…
Optical conductivity of one-dimensional doped Hubbard-Mott insulator
D. N. Aristov, Vadim V. Cheianov, A. Luther
We study the optical response of a strongly correlated electron system near the metal-insulator transition using a mapping to the sine-Gordon model. With semiclassical quantization…