Goos–Hänchen like shifts in graphene double barriers

• The solution of energy spectrum of Dirac fermions in graphene scattered by double barrier structures is obtained.
• The Goos–Hänchen like shifts and its transmission probability are explicitly determined.
• The corresponding resonances are analyzed in terms of the energy and electrostatic potential parameters.
• Interesting limiting cases are recovered.

We study the Goos–Hänchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos–Hänchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.