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Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for different values of the number of fermion flavors N_f. We consider the four-component formulation for the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Costas Strouthos , John B. Kogut

A 2+1 dimensional fermion field theory is proposed as a model for the low-energy electronic excitations in monolayer graphene. The model consists of N=2 four-component Dirac fermions moving in the plane and interacting via a contact…

Strongly Correlated Electrons · Physics 2010-04-29 Wes Armour , Simon Hands , Costas Strouthos

Phase diagram of QCD with Wilson fermions for various numbers of flavors $N_F$ is discussed. Our simulations mainly performed on a lattice with the temporal size $N_t =4$ indicate the following: The chiral phase transition is of first order…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki

We investigate a semimetal-superconductor phase transition of two-dimensional Dirac electrons at zero temperature by large-scale and essentially unbiased quantum Monte Carlo simulations for the half-filled attractive Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-07-20 Yuichi Otsuka , Kazuhiro Seki , Sandro Sorella , Seiji Yunoki

The fermion flavor $N_f$ dependence of non-perturbative solutions in the strong coupling phase of the gauge theory is reexamined based on the interrelation between the inversion method and the Schwinger-Dyson equation approach. Especially…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo , Takuya Iizuka , Eiji Tanaka , Toru Ebihara

QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

We investigate the phase structure of Quantum Chromodynamics (QCD) in the vacuum as a function of quark flavor number $N_f$ within the chiral limit. By self-consistently solving the coupled DSEs for the quark and gluon propagators in a…

High Energy Physics - Phenomenology · Physics 2026-02-19 Yi-huai Chen , Yi Lu , Zhi-wei Wang , Yu-xin Liu , Fei Gao

We present numerical results for the location of the chiral critical line at finite temperature and zero and non-zero baryon density for QCD with N_f=2+1 flavours of staggered fermions on lattices with temporal extent N_t=4. For degenerate…

High Energy Physics - Lattice · Physics 2010-10-27 Philippe de Forcrand , Owe Philipsen

We study the effect of gapless quasiparticles in a d-wave superconductor on the T=0 end point of the Kosterlitz-Thouless transition line in underdoped high-temperature superconductors. Starting from a lattice model that has gapless fermions…

Superconductivity · Physics 2009-11-07 Dominic J. Lee , Igor F. Herbut

We present results for the phase diagram of three flavor QCD for \mu_B ~ 500 MeV. Our simulations are performed with imaginary chemical potential \mu_I for which the fermion determinant is positive. Physical observables are then fitted by…

High Energy Physics - Lattice · Physics 2008-11-26 Ph. de Forcrand , O. Philipsen

Two-dimensional semi-Dirac fermions are quasiparticles that disperse linearly in one direction and quadratically in the other. We investigate instabilities of semi-Dirac fermions towards charge, spin-density wave and superconducting orders,…

Strongly Correlated Electrons · Physics 2019-10-09 Mikolaj D. Uryszek , Elliot Christou , Akbar Jaefari , Frank Krüger , Bruno Uchoa

We present an entirely perturbative QCD determination of the critical phase transition flavor number $N^{cr}_{f}$ of QCD. The results obtained are compared with various determinations of $N^{cr}_{f}$ by non-pertrubative methods, including…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. N. Ndili

We investigate a zero-temperature itinerant antiferromagnetic transition where the fermions possess a d-wave gap. This problem pertains to both the nodal liquid insulating phase and the d-wave superconducting phase of the underdoped…

Superconductivity · Physics 2007-05-23 Hyok-Jon Kwon

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in…

Strongly Correlated Electrons · Physics 2020-05-15 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

Quantum electrodynamics in 2+1 dimensions is an effective gauge theory for the so called algebraic quantum liquids. A new type of such a liquid, the algebraic charge liquid, has been proposed recently in the context of deconfined quantum…

Strongly Correlated Electrons · Physics 2008-05-06 Flavio S. Nogueira

Quantum critical phenomena may be qualitatively different when massless Dirac fermions are present at criticality. Using our recently-discovered fermion-sign-free Majorana quantum Monte Carlo (MQMC) method introduced by us in Ref. [1], we…

Strongly Correlated Electrons · Physics 2015-08-11 Zi-Xiang Li , Yi-Fan Jiang , Hong Yao

The quantum phase transition in iron-based superconductors with 'half-Dirac' node at the electron Fermi surface as a $T=0$ structural phase transition described in terms of nematic order is discussed. An effective low energy theory that…

Strongly Correlated Electrons · Physics 2015-10-21 Imam Makhfudz

The critical temperature is computed for N_f = 2 dynamical flavors of nonperturbatively improved Wilson fermions. The new simulations are performed on lattices 40^3 x 14 with lattice spacing and pion mass about 0.08 fm and 200 MeV,…

High Energy Physics - Lattice · Physics 2011-02-23 V. G. Bornyakov , R. Horsley , Y. Nakamura , M. I. Polikarpov , P. Rakow , G. Schierholz

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

The order of the thermal phase transition in the chiral limit of Quantum Chromodynamics (QCD) with two dynamical flavors of quarks is a long-standing issue and still not known in the continuum limit. Whether the transition is first or…

High Energy Physics - Lattice · Physics 2016-11-09 Owe Philipsen , Christopher Pinke