scholarly journals Kaleidoscope of symmetry-protected topological phases in one-dimensional periodically modulated lattices

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
Huaiming Guo ◽  
Shu Chen
Keyword(s):  
Topological Phases ◽  
One Dimensional ◽  
Symmetry Protected

scholarly journals Resilience of the topological phases to frustration

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Vanja Marić ◽  
Fabio Franchini ◽  
Domagoj Kuić ◽  
Salvatore Marco Giampaolo
Keyword(s):  
Boundary Conditions ◽  
Periodic Boundary Conditions ◽  
Topological Phases ◽  
Topological Order ◽  
Different Boundary Conditions ◽  
One Dimensional ◽  
Magnetic Orders ◽  
Symmetry Protected ◽  
Antiferromagnetic Spin ◽  
Peculiar Behavior

AbstractRecently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) topological orders, and compare our results with the ones obtained with different boundary conditions. None of the topological order phases analyzed are altered by this change. This observation leads naturally to the conjecture that topological phases of one-dimensional systems are in general not affected by topological frustration.

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