Short-range spin waves may underlie high-temperature superconductivity

Physics Today ◽  
2011 ◽  
Vol 64 (9) ◽  
pp. 13-14 ◽  
Author(s):  
Johanna L. Miller
Keyword(s):  
High Temperature ◽  
Short Range ◽  
High Temperature Superconductivity ◽  
Spin Waves

scholarly journals A ‘Dysonization’ scheme for identifying quasi-particles using non-Hermitian quantum mechanics

2013 ◽  
Vol 371 (1989) ◽  
pp. 20120056 ◽  
Author(s):  
Katherine Jones-Smith
Keyword(s):  
Quantum Mechanics ◽  
High Temperature ◽  
High Temperature Superconductivity ◽  
Spin Waves ◽  
Low Energy ◽  
Inner Product ◽  
Inner Products ◽  
Weakly Interacting

Dyson analysed the low-energy excitations of a ferromagnet using a Hamiltonian that was non-Hermitian with respect to the standard inner product. This allowed for a facile rendering of these excitations (known as spin waves) as weakly interacting bosonic quasi-particles. More than 50 years later, we have the full denouement of the non-Hermitian quantum mechanics formalism at our disposal when considering Dyson’s work, both technically and contextually. Here, we recast Dyson’s work on ferromagnets explicitly in terms of two inner products, with respect to which the Hamiltonian is always self-adjoint, if not manifestly ‘Hermitian’. Then we extend his scheme to doped anti-ferromagnets described by the t – J model, with hopes of shedding light on the physics of high-temperature superconductivity.

High-temperature superconductivity

2021 ◽  
Author(s):  
Xingjiang Zhou ◽  
Wei-Sheng Lee ◽  
Masatoshi Imada ◽  
Nandini Trivedi ◽  
Philip Phillips ◽  
...  
Keyword(s):  
High Temperature ◽  
High Temperature Superconductivity
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