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In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fermions. Using the thermodynamic Bethe ansatz equations of…

强关联电子 · 物理学 2018-04-11 Song Cheng , Yi-Cong Yu , Murray T Batchelor , Xi-Wen Guan

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

统计力学 · 物理学 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

We investigate some thermodynamic and magnetic properties of the Hubbard model on two three-dimensional extensions of the Lieb lattice: the perovskite Lieb lattice (PLL) and the layered Lieb lattice (LLL). Using determinant quantum Monte…

强关联电子 · 物理学 2025-10-30 Lucas O. Lima , Julián Faúndez , Natanael C. Costa , Raimundo R. dos Santos

We present analytical results of fundamental properties of one-dimensional (1D) Hubbard model with a repulsive interaction, ranging from fractional excitations to universal thermodynamics, interaction-driven criticality, correlation…

强关联电子 · 物理学 2024-10-11 Jia-Jia Luo , Han Pu , Xi-Wen Guan

We present a full phase diagram for the one-dimensional (1D) to three-dimensional (3D) crossover of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in an attractive Hubbard model of 3D-coupled chains in a har- monic trap. We employ…

量子气体 · 物理学 2012-05-25 Dong-Hee Kim , Päivi Törmä

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

强关联电子 · 物理学 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

The one-dimensional hard rod model describes impenetrable bosons with finite diameter, extending the Lieb-Liniger model to systems with excluded volume interactions. Here, we investigate the thermodynamics of quantum HRs using Yang-Yang…

强关联电子 · 物理学 2026-05-25 Shengjie Yu , Zhaoxuan Zhu , Laurent Sanchez-Palencia

Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics and criticality of one-dimensional spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We…

量子气体 · 物理学 2012-04-12 C. C. N. Kuhn , X. W. Guan , A. Foerster , M. T. Batchelor

Quantum many-body systems serve as a suitable working medium for realizing quantum thermal machines (QTMs) by offering distinct advantages such as cooperative many-body effects, and performance boost at the quantum critical points. However,…

量子物理 · 物理学 2024-05-01 Saikat Sur , Pritam Chattopadhyay , Madhuparna Karmakar , Avijit Misra

We review the intriguing many-body physics resulting out of the interplay of a single, local impurity and the two-particle interaction in a one-dimensional Fermi system. Even if the underlying homogeneous correlated system is taken to be…

强关联电子 · 物理学 2020-02-12 A. Anthore , D. M. Kennes , E. Boulat , S. Andergassen , F. Pierre , V. Meden

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

统计力学 · 物理学 2017-09-06 Enej Ilievski , Jacopo De Nardis

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

强关联电子 · 物理学 2016-09-13 Ehsan Khatami

Understanding the phases of strongly correlated quantum matter is challenging because they arise from the subtle interplay between kinetic energy, interactions, and dimensionality. In this quest it has turned out that even conceptually…

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

强关联电子 · 物理学 2008-02-03 Hal Tasaki

We describe the nonzero temperature (T), low frequency (\omega) dynamics of the order parameter near quantum critical points in two spatial dimensions (d), with a special focus on the regime \hbar\omega << k_B T. For the case of a…

强关联电子 · 物理学 2007-05-23 Subir Sachdev

Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as…

量子气体 · 物理学 2017-03-07 M. D. Hoffman , A. C. Loheac , W. J. Porter , J. E. Drut

We present results on thermodynamic quantities, resistivity and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an…

凝聚态物理 · 物理学 2009-10-22 Th. Pruschke , D. L. Cox , M. Jarrell

A $d$--dimensional quantum model in the spherical approximation confined to a general geometry of the form $L^{d-d^{\prime}} \times\infty^{d^{\prime}}\times L_{\tau}^{z}$ ($L$--linear space size and $L_{\tau}$--temporal size) and subjected…

凝聚态物理 · 物理学 2008-02-03 H. Chamati , D. M. Danchev , E. S. Pisanova , N. S. Tonchev

We present an investigation of the 2D attractive Hubbard model, considered as an effective model relevant to superconductivity in strongly interacting electron systems. We use both hybrid Monte Carlo simulations and existing hopping…

强关联电子 · 物理学 2008-02-03 R. Lacaze , A. Morel , B. Petersson , J. Schroper

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is examined in quasi-one-dimensional s-wave and d-wave superconductors with particular attention paid to the effect of the Fermi-surface anisotropy. The upper critical field $H_{c2}(T)$ is…

超导电性 · 物理学 2015-06-18 Nobumi Miyawaki , Hiroshi Shimahara
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