scholarly journals Gap-opening transition and fractal ground-state phase diagram in one-dimensional fermions with long-range interaction: Mott transition as a quantum phase transition of infinite order

1997 ◽  
Vol 56 (19) ◽  
pp. 12183-12189 ◽  
Author(s):  
Yasuhiro Hatsugai
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Ground State ◽  
Infinite Order ◽  
Mott Transition ◽  
Range Interaction ◽  
Ground State Phase Diagram ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Gap Opening

QUANTUM PHASE TRANSITIONS AND ENTANGLEMENT IN J1–J2 MODEL

2004 ◽  
Vol 15 (08) ◽  
pp. 1095-1103 ◽  
Author(s):  
RECEP ERYIĞIT ◽  
RESUL ERYIĞIT ◽  
YIĞIT GÜNDÜÇ
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Phase Transitions ◽  
Ground State ◽  
Abrupt Change ◽  
Quantum Phase Transitions ◽  
Nearest Neighbors ◽  
Competing Interactions ◽  
One Dimensional ◽  
Transition Points

We study ground state pairwise entanglement within one-dimensional spin-1/2 antiferromagnetic J1–J2 model with competing interactions. Contrary to some claims we found that frustration does not increase entanglement. Concurrence of nearest and next nearest neighbors are found to show abrupt change at phase transition points. We also show that the concurrence can be used to classify the phase diagram of the model in anisotropy–frustration plane.

scholarly journals Ground-state phase diagram of the one-dimensional t−Js−Jτ model at quarter filling

2021 ◽  
Vol 103 (16) ◽  
Author(s):  
Yuya Kurebayashi ◽  
Hiroki Oshiyama ◽  
Naokazu Shibata
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Ground State Phase Diagram ◽  
One Dimensional ◽  
The One
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