Absence of Néel order in Heisenberg chains: Long-range antiferromagnetic interactions

2004 ◽  
Vol 69 (9) ◽  
Author(s):  
J. T. M. Pacobahyba ◽  
Wagner Nunes ◽  
J. Ricardo de Sousa
Keyword(s):  
Long Range ◽  
Heisenberg Chains ◽  
Néel Order

scholarly journals Long-Range Néel Order in the Triangular Heisenberg Model

1999 ◽  
Vol 82 (19) ◽  
pp. 3899-3902 ◽  
Author(s):  
Luca Capriotti ◽  
Adolfo E. Trumper ◽  
Sandro Sorella
Keyword(s):  
Long Range ◽  
Heisenberg Model ◽  
Néel Order

Delocalized 2-magnons eigenstates in long-range correlated random Heisenberg chains

2009 ◽  
Vol 321 (15) ◽  
pp. 2304-2310 ◽  
Author(s):  
W.S. Dias ◽  
E.M. Nascimento ◽  
F.A.B.F. de Moura ◽  
M.L. Lyra
Keyword(s):  
Long Range ◽  
Heisenberg Chains

Long range Néel order in the quasi-one-dimensional vanadium-based(S=1)pyroxenes(Li,Na)V(Si,Ge)2O6

2004 ◽  
Vol 70 (13) ◽  
Author(s):  
A. N. Vasiliev ◽  
O. L. Ignatchik ◽  
M. Isobe ◽  
Y. Ueda
Keyword(s):  
Long Range ◽  
One Dimensional ◽  
Néel Order

scholarly journals From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Luhang Yang ◽  
Adrian Feiguin
Keyword(s):  
Long Range ◽  
Bound States ◽  
Spin Dynamic ◽  
Dynamic Structure ◽  
Group Method ◽  
Spin Liquid ◽  
Heisenberg Chain ◽  
Density Matrix Renormalization ◽  
Long Range Interactions ◽  
Néel Order

We study the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions using the time-dependent density matrix renormalization group method and by means of a multi-spinon approximation. The chain undergoes true symmetry breaking and develops long range order, transitioning from a gapless spin liquid to a gapless ordered AFM phase. The spin dynamic structure factor shows that the emergence of Néel order can be associated to the formation of bound states of spinons that become coherent magnons. The quasiparticle band leaks out from the two-spinon continuum that is pushed up to higher energies. Our physical picture is also supported by an analysis of the behavior of the excitations in real-time.

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