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We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

Fathoming deconfined phases is one of the key issues in modern condensed matter. Striking many-body effects including massive quantum entanglement and coherence may be realized as manifested in quantum spin liquids and topological orders.…

Strongly Correlated Electrons · Physics 2019-03-19 Eun-Gook Moon

A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D $\mathrm{U}(1)$ gauge theory these…

High Energy Physics - Lattice · Physics 2022-11-28 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. J. Wiese

We investigate the phase structure of 3-flavor QCD in the presence of finite quark chemical potential by using Wilson-Clover fermions. To deal with the complex action with finite density, we adopt the phase reweighting method. In order to…

High Energy Physics - Lattice · Physics 2015-10-28 Shinji Takeda , Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Akira Ukawa

Using combined strong coupling and hopping parameter expansions, we derive an effective three-dimensional theory from thermal lattice QCD with heavy Wilson quarks. The theory depends on traced Polyakov loops only and correctly reflects the…

High Energy Physics - Lattice · Physics 2012-01-27 Michael Fromm , Jens Langelage , Stefano Lottini , Owe Philipsen

We investigate the phase structure of lattice QCD with dynamical Wilson fermions. Wilson chiral perturbation theory predicts that the Aoki phase and the Sharpe-Singleton scenario manifest themselves in very distinct behavior of the Wilson…

High Energy Physics - Lattice · Physics 2013-11-11 Joni M. Suorsa , T. Rantalaiho , K. Rummukainen , K. Splittorff , David J. Weir

We consider the phase diagram of twisted mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the…

High Energy Physics - Lattice · Physics 2016-05-11 Oliver Janssen , Mario Kieburg , K. Splittorff , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

One of the most challenging issues in particle physics is to study QCD in extreme conditions. Precise determination of the QCD phase diagram on temperature $T$ and chemical potential $\mu$ plane will provide valuable information for…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo , He-Sheng Chen

It has been proposed, that the chiral continuum limit of 2-flavour QCD with Wilson fermions is brought about by a phase in which flavour and parity symmetry are broken spontaneously at finite lattice spacing. At finite temperature this…

High Energy Physics - Lattice · Physics 2007-05-23 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

Phases of SU(N) gauge theories in which the global Z(N) symmetry breaks spontaneously to a subgroup Z(L) can be realized by adding appropriate Wilson line terms to the gauge action. These phases are partially confining, in the sense that…

High Energy Physics - Lattice · Physics 2008-11-26 Michael C. Ogilvie , Peter N. Meisinger , Joyce C. Myers

The vortex theory which emerges from SU(2) lattice gauge theory by center projection is briefly reviewed. In this vortex picture, quark confinement is due to percolating (closed) vortices which are randomly linked to the Wilson loop. The…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

We study the phase transition in the abelian lattice gauge theory using the Wilson-Polyakov line as the order parameter. The Wilson-Polyakov line remains very small at strong coupling and becomes non-zero at weak coupling, signalling a…

High Energy Physics - Lattice · Physics 2008-02-03 Srinath Cheluvaraja

We analyze the vacuum structure of a generalized lattice Nambu--Jona-Lasinio model with two flavors of Wilson fermions, such that its continuum action is the most general four-fermion action with 'trivial' color interactions, and having a…

High Energy Physics - Lattice · Physics 2013-09-27 V. Azcoiti , G. Di Carlo , E. Follana , M. Giordano , A. Vaquero

We discuss the chiral phase diagram in the parameter space of lattice QCD with minimal-doubling fermions, which can be seen as lattice fermions with flavored chemical potential terms. We study strong-coupling lattice QCD with the…

High Energy Physics - Lattice · Physics 2012-08-14 Tatsuhiro Misumi

We analytically investigate the 2-dimensional Gross-Neveu model at finite temperature and density using Wilson fermion action. The relation between the phase structure on the lattice and that in the continuum is clarified.

High Energy Physics - Lattice · Physics 2009-10-31 T. Izubuchi , J. Noaki , A. Ukawa

We make simulations with 2 flavor Wilson fermions to investigate the nature of the end points of Roberge-Weiss (RW) first order phase transition lines. The simulations are carried out at 9 values of the hopping parameter $\kappa$ ranging…

High Energy Physics - Lattice · Physics 2013-05-29 Liang-Kai Wu , Xiang-Fei Meng

Lattice gauge theories are a powerful language to theoretically describe a variety of strongly correlated systems, including frustrated magnets, high-$T_c$ superconductors, and topological phases. However, in many cases gauge fields couple…

Strongly Correlated Electrons · Physics 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a…

Strongly Correlated Electrons · Physics 2019-08-21 Wei Wang , Da-Chuan Lu , Xiao Yan Xu , Yi-Zhuang You , Zi Yang Meng

A new method to determine the phase diagram of certain lattice fermionic field theories in the weakly coupled regime is presented. This method involves a new type of weak coupling expansion which is multiplicative rather than additive in…

High Energy Physics - Lattice · Physics 2009-11-07 R. Kenna , C. Pinto , J. C. Sexton

Using Quantum Monte Carlo simulations, we study a series of models of fermions coupled to quantum Ising spins on a square lattice with $N$ flavors of fermions per site for $N=1,2$ and $3$. The models have an extensive number of conserved…

Strongly Correlated Electrons · Physics 2016-12-21 F. F. Assaad , T. Grover
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