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Materials that realize Kitaev spin models with bond-dependent anisotropic interactions have long been searched for, as the resulting frustration effects are predicted to stabilize novel forms of magnetic order or quantum spin liquids. Here…

Strongly Correlated Electrons · Physics 2014-11-11 A. Biffin , R. D. Johnson , I. Kimchi , R. Morris , A. Bombardi , J. G. Analytis , A. Vishwanath , R. Coldea

We investigate spin-incoherent Luttinger liquid of a one-dimensional spin-1 Bose gas in a harmonic trap. In this regime highly degenerate spin configurations emerge since the spin exchange energy is much less than the thermal energy of the…

Quantum Gases · Physics 2016-09-07 H. H. Jen , S. -K. Yip

We provide a rigorous construction of generalized spin--boson models with commuting transition matrices and form factors exhibiting critical ultraviolet (UV) divergences. That is, we cover all divergences where a self-energy…

Mathematical Physics · Physics 2025-08-29 Benjamin Alvarez , Sascha Lill , Davide Lonigro , Javier Valentín Martín

We investigate the magnetic-field dependence of the interaction between two Rydberg atoms, $|nS_{1/2}, m_J\rangle$ and $|(n+1)S_{1/2}, m_J\rangle$. In this setting, the effective spin-1/2 Hamiltonian takes the form of an {\it XXZ} model. We…

Quantum Gases · Physics 2025-11-07 Masaya Kunimi , Takafumi Tomita

In this paper we investigate a family of models for a qubit interacting with a bosonic field. More precisely, we find asymptotic limits of the Hamiltonian as the strength of the interaction tends to infinity. The main result has two…

Mathematical Physics · Physics 2018-11-06 Thomas Norman Dam , Jacob Schach Møller

We discuss spin-1/2 one-dimensional (1D) and quasi-1D magnets with competing ferromagnetic nearest-neighbor $J_1$ and antiferromagnetic next-nearest-neighbor $J$ exchange interactions in strong magnetic field $H$. It is well known that due…

Strongly Correlated Electrons · Physics 2012-07-25 A. V. Syromyatnikov

We show using bosonization techniques, that strong forward scattering interactions between one dimensional spinless Luttinger liquids (LL) can stabilize a phase where charge-density wave, superconducting and transverse single particle…

Strongly Correlated Electrons · Physics 2009-10-31 Ashvin Vishwanath , David Carpentier

We develop a general formalism of duality rotations for bosonic conformal spin-$s$ gauge fields, with $s\geq 2$, in a conformally flat four-dimensional spacetime. In the $s=1$ case this formalism is equivalent to the theory of…

High Energy Physics - Theory · Physics 2026-01-06 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

The relevance of the quasi-two-dimensional spin-1/2 frustrated quantum antiferromagnet due to its possibility of modelling the high-temperature superconducting parent compounds has resulted in numerous theoretical and experimental studies.…

Strongly Correlated Electrons · Physics 2016-02-17 Milica S. Rutonjski , Maja B. Berovic , Milica V. Pavkov Hrvojevic

We study the dynamical response function relevant for two-dimensional coherent nonlinear optical spectroscopy of the antiferromagnetic frustrated $J_{1}$-$J_{3}$ Heisenberg model on the square lattice within its long-range ordered,…

Strongly Correlated Electrons · Physics 2025-04-11 Wolfram Brenig

We consider an interaction quench in the critical spin-1/2 Heisenberg XXZ chain. We numerically compute the time evolution of the two-point correlation functions of spin operators in the thermodynamic limit and compare the results to…

Statistical Mechanics · Physics 2015-09-23 Mario Collura , Pasquale Calabrese , Fabian H. L. Essler

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a…

Chemical Physics · Physics 2018-05-23 Sangita Sen , Erik I. Tellgren

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

We investigate the effect of dimensional crossover in the ground state of the antiferromagnetic spin-$1$ Heisenberg model on the anisotropic triangular lattice that interpolates between the regime of weakly coupled Haldane chains…

Strongly Correlated Electrons · Physics 2017-11-27 M. G. Gonzalez , E. A. Ghioldi , C. J. Gazza , L. O. Manuel , A. E. Trumper

Three dimensional bosonization is a conjectured duality between non-supersymmetric Chern-Simons theories coupled to matter fields in the fundamental representation of the gauge group. There is a well-established supersymmetric version of…

High Energy Physics - Theory · Physics 2015-08-11 Guy Gur-Ari , Ran Yacoby

We report on an experimental simulation of the spin-1 Heisenberg model with composite bosons in a one-dimensional chain based on the two-component Bose-Hubbard model. Exploiting our site-and spin-resolved quantum gas microscope, we observed…

The dimensional crossover in a spin-$S$ nearest neighbor Heisenberg antiferromagnet is discussed as it is tuned from a two-dimensional square lattice, of lattice spacing $a$, towards a spin chain by varying the width $L_y$ of a…

Condensed Matter · Physics 2009-10-28 Sudip Chakravarty

We investigate the thermodynamics and energy eigenstates of a spin-1/2 coupled trimer, tetramer in a star configuration, and tetrahedron. Using a Heisenberg Hamiltonian with additional Kitaev interactions, we explore the thermodynamic…

Materials Science · Physics 2025-06-10 Evan M. Wilson , Jian-Xin Zhu , Jason T. Haraldsen

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to such a setup, we investigate the phase diagram of hard-core bosons…

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