Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of $D$ dimensions, and periodic in the remaining $D\ensuremath{-}1$. The key is a Hamiltonian-dependent separation of the bulk from the boundary. By combining information from the two, we identify a matrix function that …