Contractor-Renormalization approach to frustrated magnets in magnetic field

Abstract

We propose to use the Contractor Renormalization (CORE) technique in order to derive effective models for quantum magnets in a magnetic field. CORE is a powerful non-perturbative technique that can reduce the complexity of a given microscopic model by focusing on the low-energy part. We provide a detailed analysis of frustrated spin ladders which have been widely studied in the past: in particular, we discuss how to choose the building block and emphasize the use of their reduced density matrix. With a good choice of basis, CORE is able to reproduce the existence or not of magnetization plateaux in the whole phase diagram contrary to usual perturbation theory. We also address the issue of plateau formation in two-dimensional bilayers and point out the analogy between non-frustrated strongly anisotropic models and frustrated SU(2) ones.

arXiv comment13 pages, 20 figures; published version with minor changes

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Cited by in corpus (13)

• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Néel to dimer transition in spin-S antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
• Field Induced Spin Supersolidity in Frustrated Spin-1/2 Spin-Dimer Models
• Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
• Phase separation versus supersolid behavior in frustrated antiferromagnets
• Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
• Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets
• Strong-coupling expansion and effective hamiltonians
• Bootstrap Approximations in Contractor Renormalization
• Local renormalization method for random systems
• Critical Berezinskii-Kosterlitz-Thouless dynamics in the archetypal two-dimensional spin system Ba${}_2$CuSi${}_2$O${}_6$Cl${}_2$
• ENCORE: An Extended Contractor Renormalization algorithm