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The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Sherman

In contrast to a free electron system, a Tomonaga-Luttinger (TL) liquid in a one dimensional (1D) electron system hosts charge and spin excitations as independent entities. When an electron wave packet is injected into a TL liquid, it…

Mesoscale and Nanoscale Physics · Physics 2017-04-11 Masayuki Hashisaka , Naoaki Hiyama , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

A Quantum Monte Carlo calculation of dynamical spin susceptibility in the half-filled 2D Hubbard model is presented for temperature $T=0.2t$ and an intermediate on-site repulsion $U=4t$. Using the singular value decomposition technique we…

Condensed Matter · Physics 2009-10-28 C. E. Creffield , P. E. Kornilovitch , E. G. Klepfish , E. R. Pike , Sarben Sarkar

We consider projected wavefunctions for the 2D $t-J$ model. For various wavefunctions, including correlated Fermi-liquid and Luttinger-type wavefunctions we present the static charge-charge and spin-spin structure factors. Comparison with…

Condensed Matter · Physics 2009-10-22 Claudius Gros , Roser Valenti

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

Strongly Correlated Electrons · Physics 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby

An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is employed to analyze the nature of the semimetallic phase of the two-dimensional Hubbard model on the honeycomb lattice at half filling. It is shown that the…

Strongly Correlated Electrons · Physics 2019-04-03 Kazuhiro Seki , Yuichi Otsuka , Seiji Yunoki , Sandro Sorella

Spontaneously symmetry-broken (SSB) phases are locally ordered states of matter characterizing a large variety of physical systems. Because of their specific ordering, their presence is usually witnessed by means of local order parameters.…

We investigate the component separation in one-dimensional two-component fermion clouds in a spin-dependent external potential. The density distributions and the state diagram are studied by means of spin-dependent density-functional…

Strongly Correlated Electrons · Physics 2013-09-23 Gao Xianlong

The strong coupling diagram technique is used for investigating states near the metal-insulator transition in the half-filled two-dimensional repulsive Hubbard model. The nonlocal third-order term is included in the irreducible part along…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

We investigate the one-dimensional Hubbard model with an additional bond-charge interaction, recently considered in the description of compounds that exhibit strong 1D features above the temperature of ordered phases. The partition function…

Strongly Correlated Electrons · Physics 2009-11-07 Fabrizio Dolcini , Arianna Montorsi

We show that the periodic modulation of the Hamiltonian parameters for 1D correlated fermionic systems can be used to parametrically amplify their bosonic collective modes. Treating the problem within the Luttinger liquid picture, we show…

Quantum Gases · Physics 2010-03-03 Christian D. Graf , Guillaume Weick , Eros Mariani

We study the spin and charge fluctuations of the extended Hubbard model (EHM) with on-site interaction U and first neighbor interaction V on the two-dimensional square lattice in the weak to intermediate coupling regime. We propose an…

Strongly Correlated Electrons · Physics 2009-11-13 B. Davoudi , A. -M. S. Tremblay

We investigate anisotropic charge fluctuations in the two-dimensional Hubbard model at half filling. By the quantum Monte Carlo method, we calculate a momentum-resolved charge compressibility $\kappa (\bm{k}) = {d < n(\bm{k}) >}/{d \mu}$,…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Otsuka , Y. Morita , Y. Hatsugai

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

Interactions in one-dimensional (1D) electron systems are expected to cause a dynamical separation of electronic spin and charge degrees of freedom. A promising system for experimental observation of this non-Fermi-liquid effect consists of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , M. Governale

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

We compute dynamic spin susceptibilities in the two-dimensional Hubbard model using the method of Dual Fermions and provide comparison to lattice Monte Carlo and cluster dynamical mean field theory. We examine the energy dispersion…

Strongly Correlated Electrons · Physics 2019-08-13 J. P. F. LeBlanc , Shaozhi Li , Xi Chen , Ryan Levy , A. E. Antipov , Andrew J. Millis , Emanuel Gull

A microscopic theory for electronic spectrum of the CuO2 plane within an effective p-d Hubbard model is proposed. Dyson equation for the one-electron Green function in terms of the Hubbard operators is derived which is solved…

Strongly Correlated Electrons · Physics 2009-11-11 N. Plakida , V. Oudovenko
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