Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks

The recent progress in the optimization of two-dimensional tensor networks [H.-J. Liao, J.-G. Liu, L. Wang, and T. Xiang, Phys. Rev. X 9, 031041 (2019)] based on automatic differentiation opened the way towards precise and fast optimization of such states and, in particular, infinite projected entangled-pair states (iPEPS) that constitute a generic-purpose Ansatz for lattice problems governed by local Hamiltonians. In this work, we perform an extensive study of a paradigmatic model of frustrated magnetism, the J_1-J_2J1−J2 Heisenberg antiferromagnet on the square lattice. By using advances in both optimization and subsequent data analysis, through finite correlation-length scaling, we report accurate estimations of the magnetization curve in the N'eel phase for J_2/J_1 \le 0.45J2/J1≤0.45. The unrestricted iPEPS simulations reveal an U(1)U(1) symmetric structure, which we identify and impose on tensors, resulting in a clean and consistent picture of antiferromagnetic order vanishing at the phase transition with a quantum paramagnet at J_2/J_1 \approx 0.46(1)J2/J1≈0.46(1). The present methodology can be extended beyond this model to study generic order-to-disorder transitions in magnetic systems.

Оптическая спектроскопия крамерсовских дублетов иона Er-=SUP=-3+-=/SUP=- в двумерном фрустированном магнетике Cu-=SUB=-3-=/SUB=-Er(SeO-=SUB=-3-=/SUB=-)-=SUB=-2-=/SUB=-O-=SUB=-2-=/SUB=-Cl

Francisites Cu3M(YO3)2O2X (M = Bi or rare earth, Y = Se, Te, X = Br, Cl, I) attract grate attention due to their interesting magnetic properties, such as metamagnetic transitions in relatively weak magnetic fields, magnetic phase transitions including spin reorientation, as well as model systems for studying two-dimensional and frustrated magnetism. In this work, a low-temperature optical spectroscopic study is presented of erbium francisite Cu3Er(SeO3)2O2Cl. The observed splittings of the spectral lines corresponding to the f f transitions in the Kramers Er3+ ion unambiguously indicates the magnetic ordering of the crystal at a temperature TN = 37.5 K. The temperature dependence of the splitting of the main doublet of the erbium ion is determined. The contribution of erbium to the heat capacity and magnetic susceptibility of Cu3Er(SeO3)2O2Cl is calculated.

Two coupled chains are simpler than one: field-induced chirality in a frustrated spin ladder

Although the frustrated (zigzag) spin chain is the Drosophila of frustrated magnetism, our understanding of a pair of coupled zigzag chains (frustrated spin ladder) in a magnetic field is still lacking. We address this problem through nuclear magnetic resonance (NMR) experiments on BiCu$$_2$$ 2 PO$$_6$$ 6 in magnetic fields up to 45 T, revealing a field-induced spiral magnetic structure. Conjointly, we present advanced numerical calculations showing that even a moderate rung coupling dramatically simplifies the phase diagram below half-saturation magnetization by stabilizing a field-induced chiral phase. Surprisingly for a one-dimensional model, this phase and its response to Dzyaloshinskii-Moriya (DM) interactions adhere to classical expectations. While explaining the behavior at the highest accessible magnetic fields, our results imply a different origin for the solitonic phases occurring at lower fields in BiCu$$_2$$ 2 PO$$_6$$ 6 . An exciting possibility is that the known, DM-mediated coupling between chirality and crystal lattice may give rise to a new kind of spin-Peierls instability.