Towards a phase diagram of the topologically frustrated XY chain

Abstract

Landau theory's implicit assumption that microscopic details cannot affect the system's phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions, where topological frustration can be induced. In this work, we show that the latter modifies the zero temperature phase diagram of the XY chain in a transverse magnetic field by inducing new quantum phase transitions. In doing so, we come across the first case of second order boundary quantum phase transition characterized by a quartic dispersion relation. Our analytical results are supported by numerical investigations and lay the foundation for understanding the phase diagram of this frustrated model.

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Cited by in corpus (7)

• Charging free fermion quantum batteries
• Magic phase transition and non-local complexity in generalized $W$ State
• Charging a Dimerized Quantum XY Chain
• Few-body precursors of topological frustration
• The quantum XY chain with boundary fields: finite-size gap and phase behavior
• Cluster Ising quantum batteries can mimic super-extensive charging power
• Numerically efficient unitary evolution for Hamiltonians beyond nearest-neighbors