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Warm dense matter (WDM) -- an exotic state of highly compressed matter -- has attracted high interest in recent years in astrophysics and for dense laboratory systems. At the same time, this state is extremely difficult to treat…

Significant research advances have led to a consensus that the Fermi-Hubbard model and its extended variants are archetypal frameworks for elucidating the intertwined relationship between stripe orders and superconductivity in hole-doped…

Strongly Correlated Electrons · Physics 2025-07-28 Jia-Long Wang , Shi-Jie Hu , Xue-Feng Zhang

Transitions among quantum Hall plateaux share a suite of remarkable experimental features, such as semi-circle laws and duality relations, whose accuracy and robustness are difficult to explain directly in terms of the detailed dynamics of…

High Energy Physics - Theory · Physics 2013-02-11 Allan Bayntun , C. P. Burgess , Brian P. Dolan , Sung-Sik Lee

Exact and approximate expressions for thermodynamic characteristics of heated matter, which consists of particles with finite mass-widths, are constructed. They are expressed in terms of Fermi/Bose distributions and spectral functions,…

Nuclear Theory · Physics 2008-11-26 D. N. Voskresensky

The classification of the ground-state phases of complex one-dimensional electronic systems is considered in the context of a fixed-point strategy. Examples are multichain Hubbard models, the Kondo-Heisenberg model, and the one-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 V. J. Emery , S. A. Kivelson , O. Zachar

We analyze the fermion density of the one-dimensional Hubbard model using bosonization and numerical DMRG calculations. For finite systems we find a relatively sharp crossover even for moderate short range interactions into a region with…

Strongly Correlated Electrons · Physics 2011-12-19 Stefan A. Soeffing , Michael Bortz , Imke Schneider , Alexander Struck , Michael Fleischhauer , Sebastian Eggert

It is shown that the dynamics of a single hole in a quantum antiferromagnet (described by the t--J model) can be simply understood in terms of a composite quasiparticle. This description provides naturally two different energy scales t and…

Condensed Matter · Physics 2009-10-28 P. Beran , D. Poilblanc , R. B. Laughlin

Single-particle spectral properties near the Mott transition in the one-dimensional Hubbard model are investigated by using the dynamical density-matrix renormalization group method and the Bethe ansatz. The pseudogap, hole-pocket behavior,…

Strongly Correlated Electrons · Physics 2012-02-17 Masanori Kohno

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the…

Strongly Correlated Electrons · Physics 2012-09-26 Daniel Vieira

The attractive Hubbard model on a 2-D square lattice is studied at low electronic densities using the ladder approximation for the pair susceptibility. This model includes (i) the short coherence lengths known to exist experimentally in the…

Strongly Correlated Electrons · Physics 2016-03-23 M. Letz , R. J. Gooding

Gapless quasiparticles can exist in the Bogoliubov-de Gennes (BdG) Hamiltonians in the mean field description of superconductors (SCs), fermionic superfluids (SFs) and quantum spin liquids (QSLs). The mechanism of gapless quasiparticles in…

Strongly Correlated Electrons · Physics 2024-08-12 Arist Zhenyuan Yang , Zheng-Xin Liu

The laws of quantum-critical scaling theory of quantum fidelity, dependent on the underlying system dimensionality $D$, have so far been verified in exactly solvable $1D$ models, belonging to or equivalent to interacting, quadratic…

Quantum Physics · Physics 2016-02-10 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

We present a model that generalizes the Bose-Fermi mapping for strongly correlated 1D bosons in an optical lattice, to cases in which the average number of atoms per site is larger than one. This model gives an accurate account of…

Other Condensed Matter · Physics 2009-11-11 Guido Pupillo , Ana Maria Rey , Carl J. Williams , Charles W. Clark

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

Studies of periodically driven one-dimensional many-body systems have advanced our understanding of complex systems and stimulated promising developments in quantum simulation. It is hence of interest to go one step further, by…

Quantum Physics · Physics 2021-06-04 Raditya Weda Bomantara , Sen Mu , Jiangbin Gong

The Semiempirical Pseudopotential Method (SEPM) has emerged as a valuable tool for accurately determining band structures, especially in the realm of low-dimensional materials. SEPM operates by utilizing atomic pseudopotentials, which are…

Materials Science · Physics 2024-06-25 Raj Kumar Paudel , Chung-Yuan Ren , Yia-Chung Chang

Quantum hydrodynamic (QHD) model of charged spin-1/2 particles contains physical quantities defined for all particles of a species including particles with spin-up and with spin-down. Different population of states with different spin…

Plasma Physics · Physics 2015-04-01 Pavel A. Andreev

Density-functional perturbation theory (DFPT) is nowadays the method of choice for the accurate computation of linear and non-linear response properties of materials from first principles. A notable advantage of DFPT over alternative…

Materials Science · Physics 2019-06-19 Miquel Royo , Massimiliano Stengel

We develop a discrete fermion approach for modelling the strong interaction of an arbitrary system interacting with continuum electronic reservoirs. The approach is based on a pseudo-fermion decomposition of the continuum bath correlation…