Quantum phase transitions in multileg spin ladders with ring exchange

Abstract

Four-spin exchange interaction has been raising intriguing questions regarding the exotic phase transitions it induces in two-dimensional quantum spin systems. In this context, we investigate the effects of a cyclic four-spin exchange in the quasi-1D limit by considering a general N-leg spin ladder. We show by means of a low-energy approach that, depending on its sign, this ring exchange interaction can engender either a staggered or a uniform dimerization from the conventional phases of spin ladders. The resulting quantum phase transition is found to be described by the SU(2)_N conformal field theory. This result, as well as the fractional value of the central charge at the transition, is further confirmed by a large-scale numerical study performed by means of Exact Diagonalization and Density Matrix Renormalization Group approaches for N \le 4.

References in corpus (21)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• Realization of higher Wess-Zumino-Witten models in spin chains
• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Parafermion excitations in superfluid of quasi-molecular chains
• Nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model
• Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• Dynamics in two-leg spin ladder with a four-spin cyclic interaction

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