{"title":"Antiferromagnetic fluctuations in the one-dimensional Hubbard model","authors":"V. Janiš, A. Klíč, Jiawei Yan","doi":"10.1063/9.0000019","DOIUrl":"https://doi.org/10.1063/9.0000019","url":null,"abstract":"We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transition from high to low temperatures as well as from weak to strong-coupling. We show that there is a crossover temperature $T_{0}= texp{-1/Urho(0)}$ for arbitrary interaction $U>0$ and the bare density of states at the Fermi energy $rho(0)>0$. The solution at lower temperatures goes over to strong coupling and approaches a quantum critical point with the diverging staggered susceptibility and a gap in the excitation spectrum at zero temperature.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79882208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Molecular dipoles in designer honeycomb lattices","authors":"N. Boudjada, F. Buessen, A. Paramekanti","doi":"10.1103/PHYSREVB.103.165408","DOIUrl":"https://doi.org/10.1103/PHYSREVB.103.165408","url":null,"abstract":"Recent advances in ultracold atoms in optical lattices and developments in surface science have allowed for the creation of artificial lattices as well as the control of many-body interactions. Such systems provide new settings to investigate interaction-driven instabilities and non-trivial topology. In this work, we explore the interplay between molecular electric dipoles on a two-dimensional triangular lattice with fermions hopping on the dual decorated honeycomb lattice which hosts Dirac and flat band states. We show that short-range dipole-dipole interaction can lead to ordering into various stripe and vortex crystal ground states. We study these ordered states and their thermal transitions as a function of the interaction range using simulated annealing and Monte Carlo methods. For the special case of zero wavevector ferro-dipolar order, we show that incorporating dipole-electron interactions and integrating out the electrons can lead to a six-fold clock anisotropy for the dipole ordering. Finally, we discuss the impact of the various dipole orders on the electronic band structure and the local tunneling density of states. Our work may be relevant to studies of \"molecular graphene\" -- CO molecules arranged on the Cu(111) surface -- which have been explored using scanning tunneling spectroscopy, as well as ultracold molecule-fermion mixtures in optical lattices.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91271146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ground-state phase diagram of the one-dimensional \u0000t−Js−Jτ\u0000 model at quarter filling","authors":"Yuya Kurebayashi, Hiroki Oshiyama, N. Shibata","doi":"10.1103/PHYSREVB.103.165115","DOIUrl":"https://doi.org/10.1103/PHYSREVB.103.165115","url":null,"abstract":"We study the ground state of the one-dimensional \"$t$-$J_s$-$J_{tau}$ model\", which is a variant of the $t$-$J$ model with additional channel degree of freedom. The model is not only a generalization of the $t$-$J$ model but also an effective model of the two-channel Kondo lattice model in the strong coupling region. The low energy excitations and correlation functions are systematically calculated by the density matrix renormalization group (DMRG) method and the ground-state phase diagram at quarter filling consisting of Tomonaga Luttinger liquid, spin-gap state, channel-gap state, insulator, and phase separation is determined. We find that weak channel fluctuations stabilize the spin-gap state, while strong channel fluctuations lead to the transition to the insulator.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75453664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}