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We discuss the critical behavior of several three-dimensional magnetic systems, such as pure and randomly dilute (anti)ferromagnets and stacked triangular antiferromagnets. We also discuss the nature of the multicritical points that arise…

Statistical Mechanics · Physics 2007-05-23 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

Understanding the influence of quenched random potential is crucial for comprehending the exotic electronic transport of non-Fermi liquid metals near metallic quantum critical points. In this study, we identify a stable fixed point…

Strongly Correlated Electrons · Physics 2024-08-28 Kyoung-Min Kim , Ki-Seok Kim

We study the antiferromagnetic quantum critical metal in $3-\epsilon$ space dimensions by extending the earlier one-loop analysis [Sur and Lee, Phys. Rev. B 91, 125136 (2015)] to higher-loop orders. We show that the $\epsilon$-expansion is…

Strongly Correlated Electrons · Physics 2017-06-09 Peter Lunts , Andres Schlief , Sung-Sik Lee

We consider Quantum Electrodynamics in $2{+}1$ dimensions with $N_f$ fermionic or bosonic flavors, allowing for interactions that respect the global symmetry $U(N_f/2)^2$. There are four bosonic and four fermionic fixed points, which we…

High Energy Physics - Theory · Physics 2019-06-26 Sergio Benvenuti , Hrachya Khachatryan

We review some recent developments about strongly interacting relativistic Fermi theories in three spacetime dimensions. These models realize the asymptotic safety scenario and are used to describe the low-energy properties of Dirac…

High Energy Physics - Lattice · Physics 2022-03-17 Andreas W. Wipf , Julian J. Lenz

We consider the problem of fermions interacting with gapless long-wavelength collective bosonic modes. The theory describes, among other cases, a ferromagnetic quantum-critical point (QCP) and a QCP towards nematic ordering. We construct a…

Strongly Correlated Electrons · Physics 2009-11-11 J. Rech , C. Pepin , A. V. Chubukov

The energy spectra of linearly dispersing gapless spin-3/2 Dirac fermions display birefringence, featuring two effective Fermi velocities, thus breaking the space-time Lorentz symmetry. Here, we consider a non-Hermitian (NH) generalization…

Strongly Correlated Electrons · Physics 2025-03-03 Sk Asrap Murshed , Bitan Roy

Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with…

Strongly Correlated Electrons · Physics 2025-07-15 Gabriel Rein , Marcin Raczkowski , Zhenjiu Wang , Toshihiro Sato , Fakher F. Assaad

We study the critical behavior of the three-dimensional (3D) Gross-Neveu (GN) model with $N_f$ Dirac fermionic flavors and quartic interactions, at the chiral ${\mathbb Z}_2$ transition in the massless ${\mathbb Z}_2$-symmetric limit. For…

High Energy Physics - Lattice · Physics 2023-03-08 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We study a quantum phase transition from a massless to massive Dirac fermion phase in a new two-dimensional bipartite lattice model of electrons that is amenable to sign-free quantum Monte Carlo simulations. Importantly, interactions in our…

Strongly Correlated Electrons · Physics 2022-12-23 Hanqing Liu , Emilie Huffman , Shailesh Chandrasekharan , Ribhu K. Kaul

We study the IR phase of three dimensional quantum electrodynamics (QED$_3$) coupled to $N_f=2$ flavors of two-component Dirac fermions, which has been controversial for decades. This theory has been proposed to be self-dual with symmetry…

High Energy Physics - Theory · Physics 2022-06-01 Zhijin Li

We study Quantum Electrodynamics in d=3 (QED_3) coupled to N_f flavors of fermions. The theory flows to an IR fixed point for N_f larger than some critical number N_f^c. For N_f<= N_f^c, chiral-symmetry breaking is believed to take place.…

High Energy Physics - Theory · Physics 2016-04-06 Lorenzo Di Pietro , Zohar Komargodski , Itamar Shamir , Emmanuel Stamou

Interaction driven symmetry breaking in a metallic (doped) Dirac system can manifest in the spontaneous gap generation at the nodal point buried below the Fermi level. Across this transition linear conductivity remains finite making its…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Habib Rostami , Vladimir Juričić

The nonequilibrium dynamics of the chiral phase transition expected during the expansion of the quark-qluon plasma produced in a high energy hadron or heavy ion collision is studied in the O(4) linear sigma model to leading order in a large…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fred Cooper , Yuval Kluger , Emil Mottola , Juan Pablo Paz

We address the quantum-critical behavior of a two-dimensional itinerant ferromagnetic systems described by a spin-fermion model in which fermions interact with close to critical bosonic modes. We consider Heisenberg ferromagnets, Ising…

Strongly Correlated Electrons · Physics 2015-02-26 Matthias Einenkel , Hendrik Meier , Catherine Pépin , Konstantin B. Efetov

The fermion disorder operator has been shown to reveal the entanglement information in 1D Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at quantum critical points(QCP). Here we study, by means of…

Strongly Correlated Electrons · Physics 2023-06-29 Zi Hong Liu , Weilun Jiang , Bin-Bin Chen , Junchen Rong , Meng Cheng , Kai Sun , Zi Yang Meng , Fakher F. Assaad

We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the…

Strongly Correlated Electrons · Physics 2021-03-17 Petter Säterskog

We introduce a family of Gross-Neveu-Yukawa models with a large number of fermion and boson flavors as higher dimensional generalizations of the Sachdev-Ye-Kitaev model. The models may be derived from local lattice couplings and give rise…

Strongly Correlated Electrons · Physics 2021-03-03 Jaewon Kim , Ehud Altman , Xiangyu Cao

We investigate a 2+1-D interacting Dirac semimetal with onsite flavor SU(2) symmetry. Topological considerations imply that the skyrmions in the flavor-symmetry-breaking phase carry electron quantum numbers, motivating a dual bosonized low…

Strongly Correlated Electrons · Physics 2024-04-09 Xiao Yan Xu , Tarun Grover

We look for signals of critical behavior in the Yukawa sector. By reviewing a set of models for the fermion masses, we select those where a symmetry-breaking order parameter sits at a transition point between a disordered phase and an…

High Energy Physics - Phenomenology · Physics 2023-04-19 Ferruccio Feruglio