https://doi.org/10.1140/epjp/s13360-024-05534-z
Regular Article
Phase diagram of the topologically frustrated XY chain
1
Departimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy
2
Division of Theoretical Physics, Ruder Bošković Institute, Bijenička cesta 54, 1000, Zagreb, Croatia
3
Université de Strasbourg, Rue Blaise Pascal 4, 67081, Strasbourg, France
4
SPIN, CNR, Via Dodecaneso 33, 16146, Genova, Italy
f
niccolo.traverso.ziani@unige.it
Received:
7
May
2024
Accepted:
4
August
2024
Published online:
19
August
2024
Landau theory’s implicit assumption that microscopic details cannot affect the global phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions. The new paradigm of topological frustration has been accordingly put forward. In this context, the quantum phases exhibit a dependence on the boundary conditions. In this work, we show that topological frustration modifies the zero temperature phase diagram of the XY chain in a transverse magnetic field by inducing new boundary quantum phase transitions. Here, by boundary quantum phase transitions we mean non-analyticities that are non-extensive in the number of particles. Such transitions are both of first and second order. Moreover, 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 both analytical calculations and numerical investigations, and lay the foundation for understanding the phase diagram of frustrated model.
© The Author(s) 2024
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