2 papers
math-ph2001
Bandgap Extremization: Some Exact Results
Prabasaj Paul, Bill Sutherland
We present here a variational method for maximizing the bandgap in a one-dimensional system where the potential is subject to given constraints. Two specific examples are studied i…
cond-mat1993
Conformal Invariance in Periodic Quantum Chains
Rudolf A. R"omer, Bill Sutherland
We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a…