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.

Density of Loosely Bound States in a Triatomic Molecule: The Role of Long Range Interactions

2001 ◽  
Vol 215 (8) ◽  
Author(s):  
S. Heilliette ◽  
A. Delon ◽  
D.T. Jost ◽  
S.Yu. Grebenshchikov ◽  
R. Schinke ◽  
...  
Keyword(s):  
Long Range ◽  
Bound States ◽  
Quantum States ◽  
Equilibrium Geometry ◽  
Two Dimensional ◽  
Triatomic Molecule ◽  
Small Energy ◽  
Long Range Interactions ◽  
Dissociation Threshold

The influence of the long range forces between an atom and a diatomic fragment on the density of vibrational bound states is studied theoretically in the vicinity of the dissociation threshold of a model triatomic molecule. In the two-dimensional case (2D), where the non dissociating bond is frozen at the equilibrium geometry, the number of quantum states and their density is shown to increase quickly in a small energy interval close to the dissociation threshold

scholarly journals Chiral-ordered phases in a frustrated S = 1 chain with uniaxial single-ion-type anisotropy

2001 ◽  
Vol 79 (11-12) ◽  
pp. 1593-1597 ◽  
Author(s):  
T Hikihara
Keyword(s):  
Infinite System ◽  
Nearest Neighbor ◽  
Spin Correlation ◽  
Group Method ◽  
Density Matrix Renormalization Group ◽  
Renormalization Group Method ◽  
Heisenberg Chain ◽  
Density Matrix Renormalization ◽  
Chiral Phases ◽  
Ordered Phases

The ground-state phase transitions of a frustrated S = 1 Heisenberg chain with the uniaxial single-ion-type anisotropy and the frustrating next-nearest-neighbor coupling are studied. For the system, it has been shown that there are gapless and gapped chiral phases in which the chirality κl = Slx Syl+1 – Sly Sxl+1 exhibits a finite long-range order (LRO) and the spin correlation decays either algebraically or exponentially. In this study, the transitions between the Haldane and chiral phases and between the large-D (LD) and chiral phases are investigated using the infinite-system density-matrix renormalization group method. It is found that there exist two types of gapped chiral phases, "chiral Haldane" and "chiral LD" phases, in which the string LRO coexists with the chiral LRO and the string correlation decays exponentially, respectively. PACS No.: 75.30

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