Strong disorder renormalization group study of aperiodic quantum Ising chains

Abstract

We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse field. In the presence of marginal or relevant geometric fluctuations induced by aperiodicity, for which the critical behavior is expected to depart from the Onsager universality class, we derive analytical and asymptotically exact expressions for various critical exponents (including the correlation-length and the magnetization exponents, which are not easily obtainable by other methods), and shed light onto the nature of the ground state structures in the neighborhood of the critical point. The main results obtained by this approach are confirmed by finite-size scaling analyses of numerical calculations based on the free-fermion method.

References in corpus (3)

• Entanglement entropy of aperiodic quantum spin chains
• Low-energy properties of aperiodic quantum spin chains
• Protecting clean critical points by local disorder correlations

Cited by in corpus (8)

• Strong Disorder RG approach - a short review of recent developments
• The quasi-periodic quantum Ising transition in 1D
• Contact process on generalized Fibonacci chains: infinite-modulation criticality and double-log periodic oscillations
• Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings
• Emergent dimerization and localization in disordered quantum chains
• Critical behavior of the quasi-periodic quantum Ising chain
• Random free-fermion quantum spin chain with multi-spin interactions
• Multifractality in aperiodic quantum spin chains