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We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer interactions, deriving effective models via perturbation theory and performing Majorana mean-field theory calculations. We show that a diverse array…

Strongly Correlated Electrons · Physics 2024-04-30 Aayush Vijayvargia , Urban F. P. Seifert , Onur Erten

It is well-recognized that the low-energy physics of many Kitaev materials is governed by two dominant energy scales, the Ising-like Kitaev coupling $K$ and the symmetric off-diagonal $\Gamma$ coupling. An understanding of the interplay…

Strongly Correlated Electrons · Physics 2024-12-11 P. Peter Stavropoulos , Yang Yang , Ioannis Rousochatzakis , Natalia B. Perkins

The phase diagram and the order parameters of the exactly solvable quantum 1D model are analysed. The model in its spin representation is the dimerized XY spin chain in the presence of uniform and staggered transverse fields. In the…

Statistical Mechanics · Physics 2019-09-25 Gennady Y. Chitov , Toplal Pandey , P. N. Timonin

We use a recently developed interpretable and unsupervised machine-learning method, the tensorial kernel support vector machine (TK-SVM), to investigate the low-temperature classical phase diagram of a generalized Heisenberg-Kitaev-$\Gamma$…

Strongly Correlated Electrons · Physics 2021-09-14 Nihal Rao , Ke Liu , Marc Machaczek , Lode Pollet

We investigate a family of invertible phases of matter with higher-dimensional exotic excitations in even spacetime dimensions, which includes and generalizes the Kitaev's chain in 1+1d. The excitation has $\mathbb{Z}_2$ higher-form…

Strongly Correlated Electrons · Physics 2022-01-06 Po-Shen Hsin , Wenjie Ji , Chao-Ming Jian

Building on recent advancements in altermagnetism, we develop a highly-frustrated magnetic model with Kitaev-like interactions that integrates key aspects of both quantum spin liquids and altermagnets. While the ground state is a gapless…

Strongly Correlated Electrons · Physics 2025-03-14 Aayush Vijayvargia , Ezra Day-Roberts , Antia S. Botana , Onur Erten

Chiral spin liquids (CSLs) are time-reversal symmetry breaking ground states of frustrated quantum magnets that show no long-range magnetic ordering, but instead exhibit topological order and fractional excitations. Their realization in…

Motivated by the largely unexplored domain of multi-polar ordered spin states in the Kitaev-Heisenberg (KH) systems we investigate the ground state dynamics of the spin-$\frac{1}{2}$ KH model, focusing on quadrupolar (QP) order in 2-leg…

Strongly Correlated Electrons · Physics 2025-03-28 Manodip Routh , Sayan Ghosh , Jeroen van den Brink , Satoshi Nishimoto , Manoranjan Kumar

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

Strongly Correlated Electrons · Physics 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

We study the spin-$\frac{1}{2}$ Kitaev-Heisenberg (KJ) model in a two-leg ladder. Without a Heisenberg interaction, the Kitaev phase in the ladder model has Majorana fermions with local Z$_2$ gauge fields, and is usually described as a…

Strongly Correlated Electrons · Physics 2019-05-15 Andrei Catuneanu , Erik S. Sørensen , Hae-Young Kee

Nematic ordering, where the spins globally align along a spontaneously chosen axis irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d=3. In this system where the nearest-neighbor interactions are…

Disordered Systems and Neural Networks · Physics 2025-02-18 Egemen Tunca , A. Nihat Berker

The $S=1/2$ Kitaev honeycomb model has attracted significant attention as an exactly solvable example with a quantum spin liquid ground state. In a properly oriented external magnetic field, chiral Majorana edge modes associated with a…

Strongly Correlated Electrons · Physics 2022-03-23 Pedro M. Cônsoli , Eric C. Andrade

We study the magnetic and electronic phases of a 1D magnetic adatom chain on a 2D superconductor. In particular, we confirm the existence of a `self-organized' 1D topologically non-trivial superconducting phase within the set of subgap…

Superconductivity · Physics 2016-10-20 M. H. Christensen , M. Schecter , K. Flensberg , B. M. Andersen , J. Paaske

We investigate the phase diagram of a quantum spin-1 chain whose Hamiltonian is invariant under a global onsite $A_4$, translation and lattice inversion symmetries. We detect different gapped phases characterized by SPT order and symmetry…

Strongly Correlated Electrons · Physics 2016-07-29 Abhishodh Prakash , Colin G. West , Tzu-Chieh Wei

We investigate approximate emergent nonabelian symmetry in a class of weakly first order `deconfined' phase transitions using Monte Carlo simulations and a renormalization group analysis. We study a transition in a 3D classical loop model…

Strongly Correlated Electrons · Physics 2019-05-15 Pablo Serna , Adam Nahum

Consequences of explicit symmetry breaking in a physically motivated model of SU(N) antiferromagnet in spatial dimensions one and two are studied. It is shown that the case N=3, which can be realized in spin-1 cold atom systems, displays…

Strongly Correlated Electrons · Physics 2014-11-18 Alexei Kolezhuk

The Kitaev spin liquid, stabilized as the ground state of the Kitaev honeycomb model, is a paradigmatic example of a topological $\mathbb{Z}_2$ quantum spin liquid. The fate of the Kitaev spin liquid in presence of an external magnetic…

Strongly Correlated Electrons · Physics 2026-05-04 Will Holdhusen , Daniel Huerga , Gerardo Ortiz

We study frustrated spin-1/2 dimer systems in two dimensions with a bilayer structure, where spins are ferromagnetically coupled in dimers. Our model includes frustrated two-spin exchange interactions as well as four-spin interaction. We…

Strongly Correlated Electrons · Physics 2019-12-17 Toshiya Hikihara , Takahiro Misawa , Tsutomu Momoi

The ordering of the frustrated S=1/2 XY spin chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, is studied by using the density-matrix renormalization-group method. It is found that besides…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , M. Kaburagi , H. Kawamura

We present the magnetic phase diagram of a spin-1/2 chain antiferromagnet Sr$_2$CuO$_3$ studied by ultrasound phase-sensitive detection technique. We observe an enhanced effect of external magnetic field on the ordering temperature of the…

Strongly Correlated Electrons · Physics 2020-05-20 E. G. Sergeicheva , S. S. Sosin , D. I. Gorbunov , S. Zherlitsyn , G. Gu , I. Zaliznyak