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Related papers: Effective mapping of spin-1 chains onto integrable…

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We establish bounds on the decay of time-dependent multipoint correlation functionals of one-dimensional quasi-free fermions in terms of the decay properties of their two-point function. At a technical level, this is done with the help of…

Mathematical Physics · Physics 2016-04-20 Robert Sims , Simone Warzel

We consider bosons at Landau level filling $\nu=1$ on a thin torus. In analogy with previous work on fermions at filling $\nu =1/2$, we map the low-energy sector onto a spin-1/2 chain. While the fermionic system may realize the gapless…

Mesoscale and Nanoscale Physics · Physics 2009-07-26 Emma Wikberg , Emil J. Bergholtz , Anders Karlhede

The phase diagram of the spin-1 chain with bilinear-biquadratic and next-nearest neighbor inter- actions, recently investigated by Pixley, Shashi and Nevidomskyy [Phys. Rev. B 90, 214426 (2014)], has been revisited in the light of results…

Strongly Correlated Electrons · Physics 2016-11-02 Natalia Chepiga , Ian Affleck , Frederic Mila

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the…

Strongly Correlated Electrons · Physics 2009-11-10 Nicolas laflorencie , Heiko Rieger , Anders W. Sandvik , Patrik Henelius

Chiral anomaly (CA), a hallmark of Weyl fermions, has emerged as a cornerstone of condensed matter physics following the discovery of Weyl semimetals. While the anomaly in pseudospin-1/2 (Weyl) systems is well-established, its extension to…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Azaz Ahmad , Gargee Sharma

An effective two-spin density matrix (TSDM) for a pair of spin-$1/2$ degree of freedom, residing at a distance of $R$ in a spinful Fermi sea, can be obtained from the two-electron density matrix following the framework prescribed in Phys.…

Quantum Physics · Physics 2022-12-15 Sayan Jana , Anant V. Varma , Arijit Saha , Sourin Das

We numerically study quantum magnetism of ultra-cold alkali and alkaline-earth fermion systems with large hyperfine spin $F=3/2$, which are characterized by a generic $Sp(N)$ symmetry with N=4. The methods of exact diagonalization (ED) and…

Quantum Gases · Physics 2011-08-09 Hsiang-hsuan Hung , Yupeng Wang , Congjun Wu

We discuss electron spin resonance (ESR) shifts in spin-1 Heisenberg antiferromagnetic chains with a weak single-ion anisotropy based on several effective field theories, the O(3) nonlinear sigma model (NLSM) in the Haldane phase, free…

Strongly Correlated Electrons · Physics 2015-06-11 Shunsuke C. Furuya , Yoshitaka Maeda , Masaki Oshikawa

We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular…

Statistical Mechanics · Physics 2020-09-07 B. Basu-Mallick , F. Finkel , A. González-López

We study the ground-state phase diagram of a one-dimensional spin-1/2 easy-plane XXZ model with a ferromagnetic nearest-neighbor (NN) coupling $J_1$ and a competing next-nearest-neighbor (NNN) antiferromagnetic coupling $J_2$ in the…

Strongly Correlated Electrons · Physics 2010-03-30 Shunsuke Furukawa , Masahiro Sato , Akira Furusaki

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

Quantum Gases · Physics 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

We have developed a numerical procedure to clarify the critical behavior near a quantum phase transition by analyzing a multi-point correlation function characterizing the ground state. This work presents a successful application of this…

Strongly Correlated Electrons · Physics 2011-02-11 Hiroshi Ueda , Hiroki Nakano , Koichi Kusakabe

We consider asymmetric spin-1/2 two-leg ladders with non-equal antiferromagnetic (AF) couplings J_|| and \kappa J_|| along legs (\kappa <= 1) and ferromagnetic rung coupling, J_\perp. This model is characterized by a gap \Delta in the…

Strongly Correlated Electrons · Physics 2011-01-26 D. N. Aristov , C. Brünger , F. F. Assaad , M. N. Kiselev , A. Weichselbaum , S. Capponi , F. Alet

We present an extensive numerical study of spin quadrupolar correlations in single and coupled bilinear-biquadratic spin one chains, using several methods such as Exact Diagonalization, Density Matrix Renormalization Group and strong…

Strongly Correlated Electrons · Physics 2007-05-23 Andreas Laeuchli , Guido Schmid , Simon Trebst

We introduce a general class of su$(1|1)$ supersymmetric spin chains with long-range interactions which includes as particular cases the su$(1|1)$ Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this…

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

We present a manifestly rotational invariant formulation of the matrix product method valid for spin chains and ladders. We apply it to 2 legged spin ladders with spins 1/2, 1 and 3/2 and different magnetic structures labelled by the…

Strongly Correlated Electrons · Physics 2009-10-31 J. M. Roman , G. Sierra , J. Dukelsky , M. A. Martin-Delgado

We study the spectrum and the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions, both numerically using the time-dependent density matrix renormalization group (tDMRG) method and…

Strongly Correlated Electrons · Physics 2021-01-15 Luhang Yang , Adrian E. Feiguin

We study the long-time decay of fourth-order electron spin correlation functions for an isolated singly charged semi-conductor quantum dot. The electron spin dynamics is governed by the applied external magnetic field as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-10-23 Nina Fröhling , Frithjof B. Anders

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