Random Antiferromagnetic Spin-1/2 Chains with Competing Interactions

Abstract

We study disordered antiferromagnetic spin-1/2 chains with nearest- and further-neighbor interactions using the real-space renormalization-group method. We find that the system supports two different phases, depending on the ratio of the strength between nearest-neighbor and further-neighbor interactions as well the bond randomness strength. For weak further neighbor coupling the system is in the familiar random singlet phase, while stronger further neighbor coupling drives the system to a large spin phase similar to that found in the study of random antiferromagnetic-ferromagnetic spin chains. The appearance of the large spin phase in the absence of ferromagnetic coupling is due to the frustration introduced by further neighboring couplings, and is unique to the disordered chains.

11 pages, 7 figures

References in corpus (18)

• Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
• Study of the magnetic susceptibility in the spin-Peierls system CuGeO${}_3$
• Random Bonds and Topological Stability in Gapped Quantum Spin Chains
• An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
• Random Quantum Spin Chains: A Real-Space Renormalization Group Study
• The Low-Energy Fixed Points of Random Quantum Spin Chains
• Percolation Transition in the random antiferromagnetic spin-1 chain
• Dynamics and transport in random quantum systems governed by strong-randomness fixed points
• Dynamics and Transport in Random Antiferromagnetic Spin Chains
• Phases of random antiferromagnetic spin-1 chains
• Spin Reduction Transition in Spin-3/2 Random Heisenberg Chains
• Strongly disordered spin ladders
• Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain
• Random Spin-1 Quantum Chains
• Griffiths Effects in Random Heisenberg Antiferromagnetic S=1 Chains
• Generation of Large Moments in a Spin-1 Chain with Random Antiferromagnetic Couplings
• Thermodynamics of strongly disordered spin ladders
• Large Spin Formation and Thermodynamic Properties of Disordered Spin Ladders with Site Dilution

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• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States
• Phase diagrams and universality classes of random antiferromagnetic spin ladders
• Entanglement Properties of Disordered Quantum Spin Chains with Long-Range Antiferromagnetic Interactions
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• Tensor-network strong-disorder renormalization groups for random quantum spin systems in two dimensions
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Random free-fermion quantum spin chain with multi-spin interactions
• Frustration-induced quantum spin liquid behavior in the $s=$1/2 random-bond Heisenberg antiferromagnet on the zigzag chain
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Ground State Properties
• Ma-Dasgupta renormalization studies of various disordered systems