Long-range pair correlations in dilute gases

1975 ◽  
Vol 13 (5) ◽  
pp. 385-388 ◽  
Author(s):  
John M. Blatt ◽  
Alex H. Opie
Keyword(s):  
Long Range ◽  
Pair Correlations ◽  
Dilute Gases

Lattice statistics in a magnetic field. II. Order and correlations of a two-dimensional super-exchange antiferromagnet

1960 ◽  
Vol 256 (1287) ◽  
pp. 502-513 ◽  
Keyword(s):  
Magnetic Field ◽  
Long Range ◽  
Pair Correlation ◽  
Configurational Entropy ◽  
Square Lattice ◽  
Lattice Statistics ◽  
Zero Field ◽  
Two Dimensional ◽  
Ising Lattice ◽  
Pair Correlations

The long-range order and pair correlation functions of a two-dimensional super-exchange antiferromagnet in an arbitrary magnetic field are derived rigorously from properties of the standard square Ising lattice in zero field. (The model investigated was described in part I: it is a decorated square lattice with magnetic spins on the bonds coupled antiferromagnetically via non-magnetic spins on the vertices.) The behaviour near the transition temperature in a finite field is similar to that of the normal plane lattice, i. e. the long-range orders or spontaneous magnetizations of the sublattices vanish as ( T t – T ) ⅛ and the pair correlations behave as ω c + W ( T – T t ) ln | T – T t |. The configurational entropy is discussed and the anomalous entropy in the critical field at zero temperature is calculated exactly.

scholarly journals Long-range supercurrents through a chiral non-collinear antiferromagnet in lateral Josephson junctions

2021 ◽  
Author(s):  
Kun-Rok Jeon ◽  
Binoy Krishna Hazra ◽  
Kyungjune Cho ◽  
Anirban Chakraborty ◽  
Jae-Chun Jeon ◽  
...  
Keyword(s):  
Long Range ◽  
Quantum Interference ◽  
Berry Phase ◽  
Atomic Scale ◽  
Cooper Pairs ◽  
Pair Correlations ◽  
Spin Correlations ◽  
Spin Polarized ◽  
Phase Engineering ◽  
Proximity Coupling

AbstractThe proximity-coupling of a chiral non-collinear antiferromagnet (AFM)1–5 with a singlet superconductor allows spin-unpolarized singlet Cooper pairs to be converted into spin-polarized triplet pairs6–8, thereby enabling non-dissipative, long-range spin correlations9–14. The mechanism of this conversion derives from fictitious magnetic fields that are created by a non-zero Berry phase15 in AFMs with non-collinear atomic-scale spin arrangements1–5. Here we report long-ranged lateral Josephson supercurrents through an epitaxial thin film of the triangular chiral AFM Mn3Ge (refs. 3–5). The Josephson supercurrents in this chiral AFM decay by approximately one to two orders of magnitude slower than would be expected for singlet pair correlations9–14 and their response to an external magnetic field reflects a clear spatial quantum interference. Given the long-range supercurrents present in both single- and mixed-phase Mn3Ge, but absent in a collinear AFM IrMn16, our results pave a way for the topological generation of spin-polarized triplet pairs6–8 via Berry phase engineering15 of the chiral AFMs.

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