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Physical Review B, ISSN 1098-0121, 2012, Volume 85, Issue 7
We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-S... 
PHYSICS, CONDENSED MATTER | MODELS | BOND GROUND-STATES | CHAINS | TRANSITIONS | HIDDEN ZXZ SYMMETRY | ANTIFERROMAGNETS
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2014, Volume 89, Issue 13
Using a generalized Jordan-Wigner transformation combined with the defining representation of the SO(N) spin, we map the SO(N) bilinear-biquadratic (BLBQ) spin... 
ISOTROPIC HEISENBERG CHAIN | PHYSICS, CONDENSED MATTER | THERMODYNAMICS | EXCITATIONS | HALDANE PHASE | MODEL | ANTIFERROMAGNETIC CHAIN | QUANTUM SPIN CHAINS | HIDDEN ZXZ SYMMETRY | ARBITRARY SPINS | GROUND-STATES
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 06/2015, Volume 84, Issue 6, p. 63001
We numerically study quantum phase transitions and dynamical properties in the one-dimensional cluster model with several interactions by using the... 
TRANSITION | ORDER | BREAKING | XY-MODEL | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | ISING-MODEL | SYSTEMS | HALDANE PHASE | HIDDEN ZXZ SYMMETRY | QUANTUM SPIN CHAINS
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 04/2017, Volume 2017, Issue 4, p. 43101
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 0163-1829, 01/2002, Volume 65, Issue 1, pp. 144071 - 144078
The S = 1/2 and S = 1 two-dimensional quantum Heisenberg anti ferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte... 
MONTE-CARLO | PHYSICS, CONDENSED MATTER | TEMPERATURE | SPIN CHAINS | CRYSTAL-STRUCTURES | MAGNETIC-FIELD | MODEL | HIDDEN ZXZ SYMMETRY | LONG-RANGE ORDER | ALTERNATING XXZ CHAINS | BOND ALTERNATION | Physics - Strongly Correlated Electrons
Journal Article
Physical Review Letters, ISSN 0031-9007, 08/2002, Volume 89, Issue 7, p. 077204/4
We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary... 
EXPONENTS | MODELS | PHYSICS, MULTIDISCIPLINARY | THETA=PI | HALDANE-GAP | TRANSITIONS | HIDDEN ZXZ SYMMETRY | GROUND-STATES | ANTIFERROMAGNETS
Journal Article
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, ISSN 0031-9015, 12/1997, Volume 66, Issue 12, pp. 3944 - 3956
Critical properties of the spin-1 bond-alternating XXZ chain are studied numerically. This model is appropriate to study the VBS picture and hidden Z(2) x Z(2)... 
RENORMALIZATION-GROUP | ASHKIN-TELLER MODEL | ANTIFERROMAGNETIC HEISENBERG-CHAINS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | BKT transition | OPERATOR CONTENT | hidden ZXZ symmetry | S=1 bond-alternating XXZ chain | CONFORMAL-INVARIANCE | Haldane gap | CRITICAL-BEHAVIOR | GROUND-STATE PROPERTIES | QUANTUM SPIN CHAINS | PHASE-DIAGRAM | Gaussian transition
Journal Article
Journal of Physics: Condensed Matter, ISSN 0953-8984, 06/1995, Volume 7, Issue 25, pp. 4895 - 4920
Isotropic spin-1 chains with bond alternation are studied. Analytic (both variational and perturbative) results are presented. A phase transition is found to... 
PHYSICS, CONDENSED MATTER | MONTE-CARLO CALCULATION | CONFORMALLY INVARIANT THEORIES | S=1/2 HEISENBERG CHAIN | HALDANE PHASE | ANTIFERROMAGNETIC CHAIN | HIDDEN ZXZ SYMMETRY | ARBITRARY SPINS | GROUND-STATES | 2 DIMENSIONS | CRITICAL EXPONENTS
Journal Article
Physical Review B, ISSN 2469-9950, 02/2018, Volume 97, Issue 8
We have calculated order parameters for the phases of the Kitaev chain with interaction and dimerization at a special symmetric point applying the... 
BREAKING | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | TRANSVERSE FIELD | HIDDEN ZXZ SYMMETRY | PHASE | DISORDER POINTS | ISING-MODEL | SYSTEMS | MAGNETIC-FIELD | XY CHAIN | QUANTUM SPIN CHAINS
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 1997, Volume 66, Issue 11, pp. 3379 - 3382
Based on the universality concept, we study the S=3/2 and S=2 bond-alternating spin chains numerically. In previous papers, the phase diagram of the S=1 XXZ... 
hidden Z2× Z2 symmetry | bond-alternating XXZ chain | Haldane gap | Gaussian transition | hidden Z2 × Z2 symmetry | ASHKIN-TELLER MODEL | ANTIFERROMAGNETIC HEISENBERG-CHAINS | PHYSICS, MULTIDISCIPLINARY | hidden ZxZ symmetry | GROUND-STATE PROPERTIES | SIGMA-MODEL | SYMMETRY-BREAKING
Journal Article
PHYSICAL REVIEW B, ISSN 2469-9950, 09/2019, Volume 100, Issue 10
The phase diagram and the order parameters of the exactly solvable quantum one-dimensional model are analyzed. The model in its spin representation is the... 
BREAKING | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | BLOCK TOEPLITZ MATRICES | HEISENBERG LADDER | SPIN | S=1/2 | PHASE-TRANSITIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | HIDDEN ZXZ SYMMETRY | Domains | Organic chemistry | Phase diagrams | One dimensional models | Dimensional analysis | Chains | Chemical potential | Order parameters | Mathematical models | Representations | Strings
Journal Article
Physical Review B, ISSN 2469-9950, 12/2016, Volume 94, Issue 23
We study the bond-alternating Heisenberg model using the finite-size density-matrix renormalization-group (DMRG) technique and analytical arguments based on... 
DENSITY-MATRIX | PHYSICS, CONDENSED MATTER | QUANTUM RENORMALIZATION-GROUPS | XXZ CHAINS | SPIN CHAINS | BOND GROUND-STATES | 2-DIMENSIONAL SYSTEMS | TRANSITIONS | HIDDEN ZXZ SYMMETRY | LONG-RANGE ORDER | ANTIFERROMAGNETS | Physics - Strongly Correlated Electrons
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 01/1998, Volume 67, Issue 1, pp. 302 - 306
Phase diagram of S :: 1 XXZ chain in a staggered naagnetic field is obtained ntrnaerically. TlaeBerezinskii-Kosterlitz-Thou[ess transition betxveen the XY and... 
BREAKING | PHYSICS, MULTIDISCIPLINARY | level-spectroscopy | XXZ chain | hidden ZxZ symmetry | staggered magnetic field | HALDANE PHASE | SIGMA-MODEL | CONFORMAL-INVARIANCE | HEISENBERG CHAIN | GAP | GROUND-STATE PROPERTIES | Berezinskii-Kosterlitz-Thouless transition | INTEGER SPIN | BOND ALTERNATION
Journal Article
Progress of theoretical physics. Supplement, ISSN 0375-9687, 06/2002, Volume 145, Issue 145, pp. 217 - 220
We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin systems, given by the ground-state expectation value of a unitary... 
PHASES | TRANSITIONS | PHYSICS, MULTIDISCIPLINARY | HIDDEN ZXZ SYMMETRY | QUANTUM SPIN CHAINS
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 1993, Volume 62, Issue 9, pp. 3257 - 3265
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 2013, Volume 2013, Issue 9, pp. 1 - 35
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 11/2012, Volume 8, p. 083
Recently Waegell and Aravind [J. Phys. A: Math. Theor. 45 (2012), 405301, 13 pages] have given a number of distinct sets of three-qubit observables, each... 
'Magic' configurations of observables | Split cayley hexagon of order two | Three-qubit pauli group | HIDDEN-VARIABLES | split Cayley hexagon of order two | PHYSICS, MATHEMATICAL | 'magic' configurations of observables | three-qubit Pauli group | Quantum Physics | Mathematics | Combinatorics | Mathematical Physics | Physics
Journal Article
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