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Phase diagram of the topologically frustrated XY chain

Shaikh, Daniel Sacco; Catalano, Alberto Giuseppe; Cavaliere, Fabio; Franchini, Fabio; Sassetti, Maura; Traverso Ziani, Niccolo (2024) Phase diagram of the topologically frustrated XY chain. European Physical Journal Plus, 139 (8). ISSN 2190-5444

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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.

Item Type: Article
Uncontrolled Keywords: Ising Chain; Spin Chain; Frustration; Quantum; Phase transition
Subjects: NATURAL SCIENCES > Physics > Atomic and Molecular Physics
NATURAL SCIENCES > Physics > Condensed Matter Physics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Molecular Quantum Simulations-MOQSUNSPECIFIED955479EK
Depositing User: Fabio Franchini
Date Deposited: 23 Jan 2026 11:36
URI: http://fulir.irb.hr/id/eprint/11083
DOI: 10.1140/epjp/s13360-024-05534-z

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