scholarly journals Erratum: Corrigendum: Exactly solvable spin chain models corresponding to BDI class of topological superconductors

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
S. A. Jafari ◽  
Farhad Shahbazi
Keyword(s):  
Spin Chain ◽  
Topological Superconductors ◽  
Exactly Solvable ◽  
Spin Chain Models

Spin Chain Models of Free Fermions

2014 ◽  
pp. 301-309
Author(s):  
Č. Burdík ◽  
A. P. Isaev ◽  
S. O. Krivonos ◽  
O. Navrátil
Keyword(s):  
Spin Chain ◽  
Free Fermions ◽  
Spin Chain Models

scholarly journals HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS

2000 ◽  
Vol 15 (23) ◽  
pp. 3679-3698 ◽  
Author(s):  
MIKHAIL PLYUSHCHAY
Keyword(s):  
Quantum Mechanics ◽  
Exchange Interaction ◽  
Spin Chain ◽  
Supersymmetric Quantum Mechanics ◽  
Intimate Relations ◽  
Supersymmetric Structure ◽  
Spin Chain Models

The existence of intimate relations between generalized statistics and supersymmetry is established by the observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.

Exactly Solvable SU(M) Spin Chain with Long-Range Interactions*

1992 ◽  
Vol 61 (5) ◽  
pp. 1441-1444 ◽  
Author(s):  
Hirohito Kiwata ◽  
Yasuhiro Akutsu
Keyword(s):  
Long Range ◽  
Spin Chain ◽  
Long Range Interactions ◽  
Exactly Solvable

scholarly journals An exactly solvable supersymmetric spin chain of BCN type

2009 ◽  
Vol 806 (3) ◽  
pp. 684-714 ◽  
Author(s):  
J.C. Barba ◽  
F. Finkel ◽  
A. González-López ◽  
M.A. Rodríguez
Keyword(s):  
Spin Chain ◽  
Exactly Solvable

scholarly journals Exactly solvable spin chain models corresponding to BDI class of topological superconductors

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
S. A. Jafari ◽  
Farhad Shahbazi
Keyword(s):  
Time Reversal ◽  
Solvable Models ◽  
Topological Superconductors ◽  
Spin Interactions ◽  
Detailed Classification ◽  
Exactly Solvable ◽  
Solvable Extension ◽  
Xy Chain ◽  
Topological Phase Transitions

Abstract We present an exactly solvable extension of the quantum XY chain with longer range multi-spin interactions. Topological phase transitions of the model are classified in terms of the number of Majorana zero modes, n M which are in turn related to an integer winding number, n W . The present class of exactly solvable models belong to the BDI class in the Altland-Zirnbauer classification of topological superconductors. We show that time reversal symmetry of the spin variables translates into a sliding particle-hole (PH) transformation in the language of Jordan-Wigner fermions – a PH transformation followed by a π shift in the wave vector which we call it the πPH. Presence of πPH symmetry restricts the n W (n M ) of time-reversal symmetric extensions of XY to odd (even) integers. The πPH operator may serve in further detailed classification of topological superconductors in higher dimensions as well.

Ising spin chain models for the layered antiferroelectric squaric acid

1984 ◽  
Vol 55 (1) ◽  
pp. 257-260 ◽  
Author(s):  
H. D. Majer ◽  
J. Petersson
Keyword(s):  
Spin Chain ◽  
Squaric Acid ◽  
Ising Spin ◽  
Spin Chain Models

A XY Spin Chain Models on Space Curves and Analogy with Kirchhoff Rods

2007 ◽  
pp. 391-401
Author(s):  
Georgi G. Grahovski ◽  
Rossen Dandoloff
Keyword(s):  
Spin Chain ◽  
Space Curves ◽  
Kirchhoff Rods ◽  
Xy Spin Chain ◽  
Spin Chain Models

scholarly journals Spin Chain Models with Spectral Curves from M Theory

2000 ◽  
Vol 213 (3) ◽  
pp. 539-574 ◽  
Author(s):  
I. Krichever ◽  
D. H. Phong
Keyword(s):  
Spin Chain ◽  
Spectral Curves ◽  
M Theory ◽  
Spin Chain Models
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