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We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-like anisotropy $\Delta$. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent…

强关联电子 · 物理学 2015-03-31 A. J. A. James , W. D. Goetze , F. H. L. Essler

We consider the Renyi entropies S_n in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of corner…

统计力学 · 物理学 2011-02-16 Pasquale Calabrese , John Cardy , Ingo Peschel

We study high-temperature spin transport through an anisotropic spin-1/2 Heisenberg chain in which integrability is broken by a single impurity close to the center of the chain. For a finite impurity strength, the level spacing statistics…

强关联电子 · 物理学 2018-12-24 Marlon Brenes , Eduardo Mascarenhas , Marcos Rigol , John Goold

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…

统计力学 · 物理学 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

We introduce a transformation which allows the fermionization of operators of any one-dimensional spin-chain. This fermionization procedure is independent of any eventual integrable structure and is compatible with it. We illustrate this…

凝聚态物理 · 物理学 2009-10-31 P. Dargis , Z. Maassarani

We study the scaling behaviour of the optical conductivity $(\sigma)$, free energy density $(F)$, and shear viscosity of the quantum critical point associated with the spin density wave phase transition for a two-dimensional metallic system…

强关联电子 · 物理学 2021-06-23 Ipsita Mandal

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

强关联电子 · 物理学 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

统计力学 · 物理学 2009-10-31 Toru Sakai , Minoru Takahashi

We study the phase ordering dynamics of the classical antiferromagnetic $J_1$-$J_2$ (nearest-neighbor and next-nearest-neighbor couplings) Heisenberg model on the square lattice in the strong frustration regime ($J_2/J_1 > 1/2$). While…

强关联电子 · 物理学 2025-05-02 Yang Yang , Yi-Hsuan Liu , Rafael M. Fernandes , Gia-Wei Chern

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

强关联电子 · 物理学 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We study magnetization transport in anisotropic spin-$1/2$ chains governed by the integrable XXZ model with and without integrability-breaking perturbations at high temperatures ($T\to \infty$) using a hybrid approach that combines exact…

强关联电子 · 物理学 2018-08-17 Ramsés J. Sánchez , Vipin Kerala Varma , Vadim Oganesyan

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

强关联电子 · 物理学 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

We consider a symmetric spin-1/2 Ising-XXZ double sawtooth spin ladder obtained from distorting a spin chain, with the XXZ interaction between the interstitial Heisenberg dimers (which are connected to the spins based on the legs via an…

统计力学 · 物理学 2017-10-25 Hamid Arian Zad , Nerses Ananikian

The correlation length plays a pivotal role in finite-size scaling and hyperscaling at continuous phase transitions. Below the upper critical dimension, where the correlation length is proportional to the system length, both finite-size…

统计力学 · 物理学 2015-02-18 E. J. Flores-Sola , B. Berche , R. Kenna , M. Weigel

We investigate the high-temperature dynamical conductivity $\sigma(\omega)$ in two one-dimensional integrable quantum lattice models: the anisotropic XXZ spin chain and the Hubbard chain. The emphasis is on the metallic regime of both…

强关联电子 · 物理学 2021-09-29 P. Prelovšek , M. Mierzejewski , J. Herbrych

The Hubbard model at temperatures above the N\'{e}el transition, despite being a paramagnet, can exhibit rich physics due to the interplay of Fermi surface, on-site interaction $U$ and thermal fluctuations. Nevertheless, the understanding…

强关联电子 · 物理学 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the inequality (or variability) between the values of an order…

统计力学 · 物理学 2024-01-30 Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti , Bikas K. Chakrabarti

Strongly correlated Fermi systems are fundamental systems in physics that are best studied experimentally, which until very recently have lacked theoretical explanations. This review discusses the construction of a theory and the analysis…

强关联电子 · 物理学 2010-06-30 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , K. G. Popov

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the…

统计力学 · 物理学 2009-10-28 F. C. Alcaraz , A. L. Malvezzi

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

强关联电子 · 物理学 2009-10-31 Junren Shi , X. C. Xie