Abstract

We present the theory and experimental demonstration of a topological classification of finite tight binding Hamiltonians with chiral symmetry. Using graph-theoretic complete matchings, we show that many finite chiral structures can be divided into sections with independent topological phases, giving an NZ₂ classification. We experimentally demonstrate the classification using radio-frequency measurements on a coaxial cable network that maps onto an ideal graphene ribbon analogue with four sections.

Abstract

We present the theory and experimental demonstration of a topological classification of finite tight binding Hamiltonians with chiral symmetry. Using graph-theoretic complete matchings, we show that many finite chiral structures can be divided into sections with independent topological phases, giving an NZ₂ classification. We experimentally demonstrate the classification using radio-frequency measurements on a coaxial cable network that maps onto an ideal graphene ribbon analogue with four sections.

Abstract

We present the theory and experimental demonstration of a topological classification of finite tight binding Hamiltonians with chiral symmetry. Using graph-theoretic complete matchings, we show that many finite chiral structures can be divided into sections with independent topological phases, giving an NZ₂ classification. We experimentally demonstrate the classification using radio-frequency measurements on a coaxial cable network that maps onto an ideal graphene ribbon analogue with four sections.

Abstract

We present the theory and experimental demonstration of a topological classification of finite tight binding Hamiltonians with chiral symmetry. Using graph-theoretic complete matchings, we show that many finite chiral structures can be divided into sections with independent topological phases, giving an NZ₂ classification. We experimentally demonstrate the classification using radio-frequency measurements on a coaxial cable network that maps onto an ideal graphene ribbon analogue with four sections.