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We study intersite electron correlations in the half-filled Hubbard model on square lattices with periodic and open boundary conditions by means of a real-space dual fermion approach. By calculating renormalization factors, we clarify that…

Strongly Correlated Electrons · Physics 2016-02-17 Nayuta Takemori , Akihisa Koga , Hartmut Hafermann

The spin-fermion (SF) model postulates that the dominant coupling between low-energy fermions in near critical metals is mediated by collective spin fluctuations (paramagnons) peaked at the N\'{e}el wave vector, ${\bf Q}_N$, connecting hot…

Strongly Correlated Electrons · Physics 2024-11-05 R. Rossi , F. Simkovic , M. Ferrero , A. Georges , A. M. Tsvelik , N. V. Prokof'ev , I. S. Tupitsyn

By applying renormalization group method to the bosonized Hamiltonian of two-coupled chains with repulsive intrachain interaction, we have examined a role of backward scattering with a spin-anisotropy which competes with interchain hopping.…

Strongly Correlated Electrons · Physics 2015-06-25 Masahisa Tsuchiizu , Yoshikazu Suzumura

A two dimensional electronic system, where the Fermi surface is close to a Van Hove singularity, shows a variety of weak coupling instabilities, and it is a convenient model to study the interplay between antiferromagnetism and anisotropic…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We consider a system of fermions with local interactions on a lattice (Hubbard model) and apply a novel extension of the Laplace's method (saddle-point approximation) for evaluating the corresponding partition function. There, we introduce…

Strongly Correlated Electrons · Physics 2022-05-05 Dmytro Makogon , Cristiane Morais Smith

A number of recent experiments have highlighted a remarkable transformation of a large cuprate Fermi surface into small pockets in the underdoped region signalling a breakdown of a conventional Fermi liquid theory in the PG phase. A few…

Strongly Correlated Electrons · Physics 2017-12-06 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

We study competing orders of spinless fermions in the triangular-lattice Hubbard model with nearest-neighbor interaction. We calculate the effective, momentum-resolved two-particle vertex in an unbiased way in terms of the functional…

Strongly Correlated Electrons · Physics 2022-10-19 Nico Gneist , Dominik Kiese , Ravn Henkel , Ronny Thomale , Laura Classen , Michael M. Scherer

The critical theory of the onset of antiferromagnetism in metals, with concomitant Fermi surface reconstruction, has recently been shown to be strongly coupled in two spatial dimensions. The onset of unconventional superconductivity near…

Strongly Correlated Electrons · Physics 2012-07-10 Subir Sachdev , Max A. Metlitski , Matthias Punk

We theoretically study a possible new pairing mechanism for a two-dimensional population imbalanced Fermi gas with short-range repulsive interactions which can be realized on the upper branch of a Feshbach resonance. We use a…

Quantum Gases · Physics 2013-05-29 Shao-Jian Jiang , Xiao-Lu Yu , W. M. Liu

The weak coupling instabilities of a two dimensional Fermi system are investigated for the case of a square lattice using a Wilson renormalization group scheme to one loop order. We focus on a situation where the Fermi surface passes…

Strongly Correlated Electrons · Physics 2009-11-07 B. Binz , D. Baeriswyl , B. Doucot

Using the time-dependent density matrix renormalization group method, we calculate transport properties of an interacting Fermi gas in an optical lattice with a confining trap after a sudden displacement of the trap center. In the regime of…

Quantum Gases · Physics 2012-09-18 Jia-Wei Huo , Weiqiang Chen , U. Schollwöck , M. Troyer , Fu-Chun Zhang

We present an extension to the two-dimensional functional renormalization group to efficiently treat interactions on the surface or at interfaces of three-dimensional systems. As an application, we consider a semi-infinite stack of…

Strongly Correlated Electrons · Physics 2026-04-10 Lennart Klebl , Dante M. Kennes

The interference between spin-density-wave and superconducting instabilities in quasi-one-dimensional correlated metals is analyzed using the renormalization group method. At the one-loop level, we show how the interference leads to a…

Strongly Correlated Electrons · Physics 2009-11-07 Raphael Duprat , C. Bourbonnais

It is shown that an asymmetric spin-orbit interaction is appreciably renormalized by the effect of critical spin fluctuations. As an explicit example, the Rashba-type interaction is predicted to be suppressed by anti-ferromagnetic critical…

Strongly Correlated Electrons · Physics 2015-03-10 Yukinobu Fujimoto , Kazumasa Miyake , Hiroyasu Matsuura

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

This thesis is concerned with ground state properties of two-dimensional fermionic superfluids, in which fluctuation effects like the renormalization of the order parameter or infrared singularities are important. In the superfluid state,…

Strongly Correlated Electrons · Physics 2014-07-30 Andreas Eberlein

Weak-coupling phenomena of the two-dimensional Hubbard model is gaining momentum as a new interesting research field due to its extraordinarily rich behavior as a function of the carrier density and model parameters. Salmhofer [{\it Commun.…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Sushant Kumar Behera , Madhavi Ahalawat , Subrata Jana , Prasanjit Samal , Pritam Deb

We consider a non-chiral Luttinger liquid in the presence of a backscattering Hamiltonian which has an extended range. Right/left moving fermions at a given location can thus be converted as left/right moving fermions at a different…

Strongly Correlated Electrons · Physics 2023-01-25 A. Popoff , A. V. Lebedev , L. Raymond , T. Jonckheere , J. Rech , T. Martin

The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano