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We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

强关联电子 · 物理学 2007-08-23 J. Reiss , D. Rohe , W. Metzner

Systems with strong electronic Coulomb correlations often display rich phase diagrams exhibiting different ordered phases involving spin, charge, or orbital degrees of freedom. The theoretical description of the interplay of the…

强关联电子 · 物理学 2024-01-09 E. Linnér , A. I. Lichtenstein , S. Biermann , E. A. Stepanov

We generalized systematically the renormalized mean field theory in the case of uniform states to the unrestricted case of general inhomogeneous states with competing spin-, charge- and superconducting orders. Applying the theory to…

超导电性 · 物理学 2009-11-11 Qiang-Hua Wang , Z. D. Wang , Yan Chen , Fu-Chun Zhang

We perform a renormalized mean-field study of the two-dimensional repulsive Hubbard model, focusing on the intricate interplay and possible coexistence of magnetic, charge, and superconducting orders. We improve on conventional mean-field…

强关联电子 · 物理学 2026-02-24 Robin Scholle , Pietro M. Bonetti , Walter Metzner , Demetrio Vilardi

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of…

强关联电子 · 物理学 2009-11-11 W. Metzner , J. Reiss , D. Rohe

The phases with spontaneously broken symmetries corresponding to antiferromagnetic and d-wave superconducting order in the two-dimensional t-t'-Hubbard model are investigated by means of the functional renormalization group. The…

强关联电子 · 物理学 2013-05-29 Simon Friederich , Hans Christian Krahl , Christof Wetterich

We study the competition of antiferromagnetism and d-wave superconductivity at zero-temperature in the two-dimensional Hubbard model using Cellular Dynamical Mean Field Theory. The interplay between the two phases depends strongly on the…

强关联电子 · 物理学 2007-08-07 M. Capone , G. Kotliar

We present the results of numerical studies of superconductivity and antiferromagnetism in a strongly correlated electron system. To do this we construct a Hubbard model on a lattice of self-consistently embedded multi-site clusters by…

超导电性 · 物理学 2007-05-23 H. Watanabe , S. Doniach

We study the competing charge-density-wave and superconducting order in the attractive Hubbard model under a voltage bias, using steady-state non-equilibrium dynamical mean-field theory. We show that the charge-density-wave is suppressed in…

超导电性 · 物理学 2018-12-19 Anne Matthies , Jiajun Li , Martin Eckstein

We study the competition between an instantaneous local Coulomb repulsion and a boson mediated retarded attraction, as described by the Hubbard-Holstein model. Restricting to the case of half filling, the ground-state phase diagram and the…

强关联电子 · 物理学 2010-07-26 Johannes Bauer , Alex C. Hewson

We explore the possibilities of using the fermionic functional renormalization group to compute the phase diagram of systems with competing instabilities. In order to overcome the ubiquituous divergences encountered in RG flows, we propose…

强关联电子 · 物理学 2009-11-30 M. Ossadnik , C. Honerkamp

We analyze the competition of magnetism and superconductivity in the two-dimensional Hubbard model with a moderate interaction strength, including the possibility of incommensurate spiral magnetic order. Using an unbiased renormalization…

强关联电子 · 物理学 2016-03-15 Hiroyuki Yamase , Andreas Eberlein , Walter Metzner

We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with…

强关联电子 · 物理学 2018-03-09 Tuomas I. Vanhala , Päivi Törmä

The competition among superconductivity, stripe-type magnetic order, and a new type of $C_4$ symmetric magnetic order in $\mathrm{Ba_{1-x}K_xFe_2As_2}$ is theoretically studied, focusing on its impact on the global phase diagram. By…

强关联电子 · 物理学 2017-01-25 Jing Wang , Guo-Zhu Liu , Dmitry V. Efremov , Jeroen van den Brink

This thesis deals with the Hubbard model as prototypical model to describe the physics of electrons in the two-dimensional copper-oxide planes of high-$T_c$ cuprates. To get approximate solutions, we employ functional renormalization group…

强关联电子 · 物理学 2022-12-13 Pietro Maria Bonetti

The Bethe-Salpeter equation is combined with the temperature-cutoff functional renormalization group approach to analyze the order parameter structure for the leading instabilities of the 2D t-t' Hubbard model. We find significant…

强关联电子 · 物理学 2009-11-10 A. A. Katanin , A. P. Kampf

The Hubbard model is reformulated in terms of different ``colored'' fermion species for the electrons or holes at different lattice sites. Antiferromagnetic ordering or d-wave superconductivity can then be described in terms of…

强关联电子 · 物理学 2009-10-31 Tobias Baier , Eike Bick , Christof Wetterich

Materials with correlated electrons often respond very strongly to external or internal influences, leading to instabilities and states of matter with broken symmetry. This behavior can be studied theoretically either by evaluating the…

强关联电子 · 物理学 2017-08-15 J. Kunes , I. Leonov , P. Augustinsky , V. Krapek , M. Kollar , D. Vollhardt

We perform a detailed renormalization group analysis to study a (2+1)-dimensional quantum field theory that is composed of two interacting scalar bosons, which represent the order parameters for two continuous phase transitions. This sort…

强关联电子 · 物理学 2014-12-22 Jing Wang , Guo-Zhu Liu

A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moir\'e structures of transition metal dichalcogenides can…

强关联电子 · 物理学 2022-10-05 Nico Gneist , Laura Classen , Michael M. Scherer
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