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In frustrated spin ladders composed of antiferromagnetically coupled chains, homogeneous or inhomogeneous, the interplay of frustration and correlations causes the emergence of two phases, Haldane (H) phase and rung singlet (RS) phase, in which the transition between these two phases had been under debate. In this paper we investigate the ground state phase diagram of frustrated mixed-spin-(1, 1/2) ladders, using the notions from quantum information theory such as entanglement entropy, Schmidt gap and entanglement levels degeneracies, and also defining various local and nonlocal order parameters. Employing two numerical techniques, the infinite time-evolving block decimation (iTEBD) and density matrix renormalization group (DMRG) algorithms, we obtain the ground state phase diagram of the ladder, and demonstrate that there is an intermediate phase between RS and H phases, where the ground state is disordered and the entanglement spectrum follow no particular pattern.
A Heisenberg spin-$s$ chain with alternating ferromagnetic ($-J_1^F<0$) and antiferromagnetic ($J_1^A>0$) nearest-neighbor (NN) interactions, exhibits the Dimer and spin-$2s$ Haldane phases in the limits $J_1^F/J_1^A rightarrow 0$ and $J_1^F/J_1^A ri
We report low temperature electron spin resonance experimental and theoretical studies of an archetype $S=1/2$ strong-rung spin ladder material (C$_{5}$H$_{12}$N)$_{2}$CuBr$_{4}$. Unexpected dynamics is detected deep in the Tomonaga-Luttinger spin li
The quantum phases of 2-leg spin-1/2 ladders with skewed rungs are obtained using exact diagonalization of systems with up to 26 spins and by density matrix renormalization group calculations to 500 spins. The ladders have isotropic antiferromagnetic
Symmetry-protected trivial (SPt) phases of matter are the product-state analogue of symmetry-protected topological (SPT) phases. This means, SPt phases can be adiabatically connected to a product state by some path that preserves the protecting symme
We report experimental and theoretical evidence that Rb$_2$Cu$_2$Mo$_3$O$_{12}$ has a nonmagnetic tetramer ground state of a two-leg ladder comprising antiferromagnetically coupled frustrated spin-$1/2$ chains and exhibits a Haldane spin gap of emerg