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Several materials in the regime of strong spin-orbit interaction such as HgTe, the pyrochlore iridate Pr$_2$Ir$_2$O$_7$, and the half-Heusler compound LaPtBi, as well as various systems related to these three prototype materials, are…

强关联电子 · 物理学 2017-02-03 Lukas Janssen , Igor F. Herbut

Zero-point quantum fluctuations of a N\'eel order can produce effective interactions between quasi-orphan spins weakly coupled to the lattice. On the $\sqrt{3}\times\sqrt{3}-$distorted triangular lattice, this phenomenon leads to a…

强关联电子 · 物理学 2023-04-18 G. G. Blesio , F. T. Lisandrini , M. G. Gonzalez

Ideas about resonant valence bond liquids and spin-charge separation have led to key concepts in physics such as quantum spin liquids, emergent gauge symmetries, topological order, and fractionalisation. Despite extensive efforts to…

We use Monte Carlo simulations to study properties of Anderson's resonating-valence-bond (RVB) spin-liquid state on the square lattice (i.e., the equal superposition of all pairing of spins into nearest-neighbor singlet pairs) and compare…

强关联电子 · 物理学 2015-05-20 Ying Tang , Anders W. Sandvik , Christopher L. Henley

We study how ferromagnetism breaks down in the spin-$\tfrac12$ nearest-neighbor Heisenberg model on the maple-leaf lattice with ferromagnetic $J_t,J_d$ and antiferromagnetic $J_h$, motivated by the mixed ferro-antiferromagnetic interactions…

强关联电子 · 物理学 2026-05-14 Paul L. Ebert , Yasir Iqbal , Alexander Wietek

We investigate a system of frustrated hardcore bosons, modeled by an XY antiferromagnet on the spatially anisotropic triangular lattice, using Takahashi's modified spin-wave (MSW) theory. In particular we implement ordering vector…

量子气体 · 物理学 2010-12-06 Philipp Hauke , Tommaso Roscilde , Valentin Murg , J. Ignacio Cirac , Roman Schmied

The spin-half Heisenberg antiferromagnet (HAF) on the square and triangular lattices is studied using the coupled cluster method (CCM) technique of quantum many-body theory. The phase relations between different expansion coefficients of…

强关联电子 · 物理学 2017-08-24 R. F. Bishop , D. J. J. Farnell , Chen Zeng

We study classical two-dimensional frustrated Heisenberg models with generically incommensurate groundstates. A new theory for the spin-nematic "order by disorder" transition is developed based on the self-consistent determination of the…

强关联电子 · 物理学 2017-10-16 Michael Schecter , Olav. F. Syljuåsen , J. Paaske

We successfully synthesize single crystals of the verdazyl radical $\alpha$-2,3,5-Cl$_3$-V. $Ab$ $initio$ molecular orbital calculations indicate that the two dominant antiferromagnetic interactions, $J_{\rm{1}}$ and $J_{\rm{2}}$ ($\alpha…

We investigate the ground state nature of the transverse field Ising model on the $J_1-J_2$ square lattice at the highly frustrated point $J_2/J_1=0.5$. At zero field, the model has an exponentially large degenerate classical ground state,…

强关联电子 · 物理学 2017-02-10 M. Sadrzadeh , R. Haghshenas , S. S. Jahromi , A. Langari

We present a functional renormalization group scheme that allows us to calculate frustrated magnetic systems of arbitrary lattice geometry beyond O(200) sites from first principles. We study the magnetic susceptibility of the…

强关联电子 · 物理学 2015-05-19 Johannes Reuther , Ronny Thomale

Spin nematic (SN) is a magnetic analog of classical liquid crystals, a fourth state of matter exhibiting characteristics of both liquid and solid. Particularly intriguing is a valence-bond SN, in which spins are quantum entangled to form a…

We study the spin-half Heisenberg models on an anisotropic two-dimensional lattice which interpolates between the square-lattice at one end, a set of decoupled spin-chains on the other end, and the triangular-lattice Heisenberg model in…

强关联电子 · 物理学 2009-10-31 Zheng Weihong , Ross H. McKenzie , Rajiv R. P Singh

Quantum phase transitions in the two-dimensional Kugel-Khomski model on a square lattice are studied using the plaquette mean field theory and the entanglement renormalization ansatz. When $3z^2-r^2$ orbitals are favored by the crystal…

强关联电子 · 物理学 2012-12-06 Wojciech Brzezicki , Jacek Dziarmaga , Andrzej M. Oleś

The linear spin-1/2 Heisenberg antiferromagnet with exchanges $J_1$, $J_2$ between first and second neighbors has a bond-order wave (BOW) phase that starts at the fluid-dimer transition at $J_2/J_1 = 0.2411$ and is particularly simple at…

强关联电子 · 物理学 2010-06-28 Manoranjan Kumar , S. Ramasesha , Z. G. Soos

We restudy the phase diagram of the 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds via Monte-Carlo simulations. We present the finite temperature phase diagram and introduce…

统计力学 · 物理学 2008-10-28 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We study the phase diagram and the dynamical spin structure factor of the spin-1/2 J1-J3 Heisenberg model on the square lattice using density matrix renormalization group, exact diagonalization (ED), and cluster perturbation theory (CPT).…

强关联电子 · 物理学 2022-09-20 Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

We consider the quantum phase transition between a Neel antiferromagnet and a valence-bond solid (VBS) in a two-dimensional system of S=1/2 spins. Assuming that the excitations of the critical ground state are linearly dispersing deconfined…

强关联电子 · 物理学 2011-06-28 Anders W. Sandvik , Valeri N. Kotov , Oleg P. Sushkov

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

强关联电子 · 物理学 2011-01-10 Kingshuk Majumdar

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

强关联电子 · 物理学 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar