scholarly journals Absence of gap for infinite half-integer spin ladders with an odd number of legs

1996 ◽  
Vol 53 (14) ◽  
pp. 9172-9174 ◽  
Author(s):  
A. G. Rojo
Keyword(s):  
Integer Spin ◽  
Half Integer

MECHANISMS OF FRACTIONATION OF STABLE ISOTOPES IN LIVING SYSTEMS

2021 ◽  
Author(s):  
Stepan S. Dzhimak ◽  
◽  
Anna Elkina ◽  
Alexandr A. Basov ◽  
◽  
...  
Keyword(s):  
Stable Isotopes ◽  
Exchange Interaction ◽  
Intercellular Space ◽  
Living Systems ◽  
Complete Understanding ◽  
Integer Spin ◽  
Half Integer ◽  
Physical Laws

Some physical laws are considered that provide stable fractionation of isotopes, leading to the accumulation of certain isotopic forms in the intracellular and intercellular space with the manifestation of these effects at various levels of the organism. It is suggested that for a more complete understanding of the above processes, it is necessary to study the mechanism of exchange interaction between particles with integer spin (bosons) and half-integer spin (fermions).

scholarly journals Test of Einstein Equivalence Principle for 0-Spin and Half-Integer-Spin Atoms: Search for Spin-Gravity Coupling Effects

2014 ◽  
Vol 113 (2) ◽  
Author(s):  
M. G. Tarallo ◽  
T. Mazzoni ◽  
N. Poli ◽  
D. V. Sutyrin ◽  
X. Zhang ◽  
...  
Keyword(s):  
Equivalence Principle ◽  
Coupling Effects ◽  
Integer Spin ◽  
Half Integer

scholarly journals Lagrangian Formulation of Free Arbitrary N-Extended Massless Higher Spin Supermultiplets in 4D AdS Space

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2052
Author(s):  
Ioseph L. Buchbinder ◽  
Timofey V. Snegirev
Keyword(s):  
Explicit Form ◽  
De Sitter Space ◽  
Lagrangian Formulation ◽  
De Sitter ◽  
Integer Spin ◽  
Half Integer ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

We derived the component Lagrangian for the free N-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for N≤4k, where k is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.

Half-Integer Spin Molecular Nanomagnets

2002 ◽  
Vol 746 ◽  
Author(s):  
David N. Hendrickson ◽  
George Christou ◽  
Wolfgang Wernsdorfer ◽  
Stephen O. Hill ◽  
Núria Aliaga-Alcade ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Exchange Interaction ◽  
Single Molecule ◽  
Ground State ◽  
Exchange Interactions ◽  
Transverse Component ◽  
Zero Field ◽  
Magnetic Exchange ◽  
Integer Spin ◽  
Half Integer

ABSTRACTSingle-molecule magnets (SMM) are molecules that function as single-domain nanomagnets. SMMs have been characterized with a ground-state spin ranging from S = 4 to S = 13. A few SMMs have been identified that have half-integer spin ground states. [Cation][Mn12O12(O2CR)16(H2O)4] complexes, where R is some substituent, are SMMs that have either a S = 19/2 or 21/2 ground state. Quantum tunneling of magnetization (QTM) is observed for these half-integer-spin Kramers [Mn12]- degenerate SMMs in zero external magnetic field, as well as for a class of S = 9/2 Mn4 SMMs. The presence of QTM in zero external field is attributed to a transverse component of a nuclear spin field, dipolar interactions and intermolecular exchange interactions. The Landau-Zener method is used to measure the tunnel splitting as a function of transverse magnetic field for a single crystal of the S = 9/2 SMM [Mn4O3(OSiMe3)(OAc)3(dbm)3]. Spin parity dependent QTM is established. The effect of a magnetic exchange interaction between two S = 9/2 Mn4 SMMs upon QTM was studied for another compound. The hydrogen bonding and Cl…Cl contacts within a supramolecularly linked [Mn4]2 dimer lead to a weak antiferromagnetic exchange interaction between the two S = 9/2 SMMs. This interaction causes a shift (exchange bias) from zero field for the magnetic field at which QTM occurs.

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