OFF-DIAGONAL LONG RANGE ORDER OF THE REDUCED DENSITY MATRICES FOR A ONE-DIMENSIONAL SOLVABLE MODEL OF FERMIONS

1988 ◽  
Vol 02 (06) ◽  
pp. 1439-1442
Author(s):  
FU-CHO PU ◽  
BAO-HENG ZHAO
Keyword(s):  
Long Range ◽  
Solvable Model ◽  
Range Order ◽  
Reduced Density Matrix ◽  
Particle State ◽  
Long Range Order ◽  
Density Matrices ◽  
One Dimensional ◽  
Ferromagnetic Chain ◽  
Reduced Density

A one-dimensional solvable model of fermions is mapped to the XXX ferromagnetic chain. At T = 0, it is shown that there is off-diagonal long range order for the reduced density matrix ρ2 in the model. In momentum space the single particle state pairs are coherently occupied. The momenta of the particles in each pair are equal but with opposite directions.

Non-periodic long-range order for one-dimensional pair interactions

1997 ◽  
Vol 30 (2) ◽  
pp. 501-505 ◽  
Author(s):  
Aernout C D van Enter ◽  
Boguslaw Zegarlinski
Keyword(s):  
Long Range ◽  
Range Order ◽  
Long Range Order ◽  
One Dimensional ◽  
Pair Interactions

scholarly journals Deviations from off-diagonal long-range order in one-dimensional quantum systems

2018 ◽  
Vol 122 (5) ◽  
pp. 50006 ◽  
Author(s):  
A. Colcelli ◽  
G. Mussardo ◽  
A. Trombettoni
Keyword(s):  
Long Range ◽  
Quantum Systems ◽  
Range Order ◽  
Long Range Order ◽  
One Dimensional

scholarly journals Coexistence of magnetic fluctuations and long-range order in the one-dimensional J1−J2 zigzag chain materials BaDy2O4 and BaHo2O4

2018 ◽  
Vol 98 (14) ◽  
Author(s):  
Bobby Prévost ◽  
Nicolas Gauthier ◽  
Vladimir Y. Pomjakushin ◽  
Bernard Delley ◽  
Helen C. Walker ◽  
...  
Keyword(s):  
Long Range ◽  
Range Order ◽  
Zigzag Chain ◽  
Long Range Order ◽  
Magnetic Fluctuations ◽  
One Dimensional ◽  
The One
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