scholarly journals Ground-State Phase Diagram of Frustrated Anisotropic Quantum Spin Chains

2002 ◽  
Vol 145 ◽  
pp. 58-63 ◽  
Author(s):  
Toshiya Hikihara ◽  
Makoto Kaburagi ◽  
Hikaru Kawamura
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Ground State Phase Diagram

scholarly journals Dimerization in Quantum Spin Chains with O(n) Symmetry

2021 ◽  
Author(s):  
Jakob E. Björnberg ◽  
Peter Mühlbacher ◽  
Bruno Nachtergaele ◽  
Daniel Ueltschi
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Quantum Spin ◽  
Spin Chains ◽  
Dimensional System ◽  
Quantum Spin Chains ◽  
One Dimensional ◽  
Open Region ◽  
Quantum Spins ◽  
The One

AbstractWe consider quantum spins with $$S\ge 1$$ S ≥ 1 , and two-body interactions with $$O(2S+1)$$ O ( 2 S + 1 ) symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigorous proof of dimerization for an open region of the phase diagram, for S sufficiently large. We also prove the existence of a gap for excitations.

RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Energy Scale ◽  
Quantum Spin ◽  
Spin Chains ◽  
Density Matrix Renormalization Group ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Density Matrix Renormalization

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

scholarly journals Ground-state phase diagram of S = 2 quantum spin chain with the XXZ and on-site anisotropies

2011 ◽  
Vol 302 ◽  
pp. 012014 ◽  
Author(s):  
Kiyomi Okamoto ◽  
Takashi Tonegawa ◽  
Hiroki Nakano ◽  
Tôru Sakai ◽  
Kiyohide Nomura ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Ground State Phase Diagram

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models
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