Interaction effects in graphene in a weak magnetic field

Abstract

A weak perpendicular magnetic field, $B$, breaks the chiral symmetry of each valley in the electron spectrum of graphene, preserving the overall chiral symmetry in the Brillouin zone. We explore the consequences of this symmetry breaking for the interaction effects in graphene. In particular, we demonstrate that the electron-electron interaction lifetime acquires an anomalous $B$-dependence. Also, the ballistic zero-bias anomaly, $\delta \nu (\omega )$, where $\omega$ is the energy measured from the Fermi level, emerges at a weak $B$ and has the form $\delta \nu (B)\sim B^2/{\omega }^2$. Temperature dependence of the magnetic-field corrections to the thermodynamic characteristics of graphene is also anomalous. We discuss experimental manifestations of the effects predicted. The microscopic origin of the $B$-field sensitivity is an extra phase acquired by the electron wave-function resulting from the chirality-induced pseudospin precession.

13 pages, 5 figures

References in corpus (18)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Quantum transport of massless Dirac fermions in graphene
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Effect of Disorder on Transport in Graphene
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Angle-resolved photoemission spectroscopy and its application to topological materials
• Low energy theory of disordered graphene
• Characterization of graphene through anisotropy of constant-energy maps in angle-resolved photoemission
• Measuring the Berry phase of graphene from wavefront dislocations in Friedel oscillations
• Hydrodynamic collective modes in graphene
• Chirality-induced Dynamic Kohn Anomalies in Graphene
• Transverse Transport in Two-Dimensional Relativistic Systems with Non-Trivial Spin Textures
• Crossover from weak localization to Shubnikov-de Haas oscillations in a high mobility 2D electron gas
• Smearing of the 2D Kohn anomaly in a nonquantizing magnetic field: Implications for the interaction effects
• Many-Body Effects in Third Harmonic Generation of Graphene
• Magneto-oscillations due to electron-electron interactions in the ac conductivity of a 2D electron gas
• Dynamic response functions of two-dimensional Dirac fermions with screened Coulomb and short-range interactions

Cited by in corpus (1)

• Ballistic magnetotransport in graphene