Effects of defects in the XY chain with frustrated boundary conditions

Abstract

It has been recently proven that new types of bulk, local order can ensue due to frustrated boundary condition, that is, periodic boundary conditions with an odd number of lattice sites and anti-ferromagnetic interactions. For the quantum XY chain in zero external fields, the usual antiferromagnetic order has been found to be replaced either by a mesoscopic ferromagnet or by an incommensurate AFM order. In this work we examine the resilience of these new types of orders against a defect that breaks the translational symmetry of the model. We find that, while a ferromagnetic defect restores the traditional, staggered order, an AFM one stabilizes the incommensurate order. The robustness of the frustrated order to certain kinds of defects paves the way for its experimental observability.

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Cited by in corpus (14)

• Coherent and dissipative dynamics at quantum phase transitions
• Quantum Phase Transition induced by Topological Frustration
• Odd thermodynamic limit for the Loschmidt echo
• Resilience of the topological phases to frustration
• Topological Frustration can modify the nature of a Quantum Phase Transition
• Long-range entanglement and topological excitations
• Random unitaries, Robustness, and Complexity of Entanglement
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• Few-body precursors of topological frustration
• Finite time path field theory perturbative methods for local quantum spin chain quenches
• The fate of local order in topologically frustrated spin chains
• The quantum XY chain with boundary fields: finite-size gap and phase behavior
• Quantum cluster kink and ring frustration