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We study the Gross-Neveu model in 2+1 dimensions with a baryon chemical potential mu using both analytical and numerical methods. For mu greater than a critical value the model is chirally symmetric and has a Fermi surface with Fermi…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Hands , John B. Kogut , Costas G. Strouthos , Thao N. Tran

We study properties of stable, strictly stable and locally outermost marginally outer trapped surfaces in spacelike hypersurfaces of spacetimes possessing certain symmetries such as isometries, homotheties and conformal Killings. We first…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Alberto Carrasco , Marc Mars

We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes…

High Energy Physics - Theory · Physics 2020-02-19 Floris Balm , Alexander Krikun , Aurelio Romero-Bermúdez , Koenraad Schalm , Jan Zaanen

Carroll symmetry is a very powerful characteristic of generic null surfaces, as it replaces the usual Poincar\'e algebra with a vanishing speed of light version thereof. These symmetries have found universal applications in the physics of…

High Energy Physics - Theory · Physics 2023-07-05 Aritra Banerjee , Sudipta Dutta , Saikat Mondal

Lattice spinor gravity is a proposal for regularized quantum gravity based on fermionic degrees of freedom. In our lattice model the local Lorentz symmetry is generalized to complex transformation parameters. The difference between space…

High Energy Physics - Theory · Physics 2015-06-04 C. Wetterich

The main result of this paper is a Pfaffian formula for the partition function of the dimer model on a graph G embedded in a closed, possibly non-orientable surface S. This formula is suitable for computational purposes, and it is obtained…

Mathematical Physics · Physics 2012-08-09 David Cimasoni

We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moment but possessing a significant value of electric quadrupole moment. We consider a quadrupolar Fermi gas…

Quantum Gases · Physics 2013-11-21 Satyan G. Bhongale , Ludwig Mathey , Erhai Zhao , Susanne F. Yelin , Mikhail Lemeshko

We argue that an ionic lattice surrounded by a Fermi liquid changes phase several times under pressure, oscillating between the symmetric phase and a low-symmetry dimerized structure, as a consequence of Friedel oscillations in the pair…

Materials Science · Physics 2007-05-23 G. G. N. Angilella , F. Siringo , R. Pucci

For plane frameworks with reflection or rotational symmetries, where the group action is not necessarily free on the vertex set, we introduce a phase-symmetric orbit rigidity matrix for each irreducible representation of the group. We then…

Combinatorics · Mathematics 2024-07-19 Alison La Porta , Bernd Schulze

We find the symmetry generators for the Friedman equations emanating from a perfect fluid source, in the presence of a cosmological constant term. The relevant dynamics is seen to be governed by two coupled, first order ordinary…

General Relativity and Quantum Cosmology · Physics 2020-09-23 T. Pailas , N. Dimakis , Andronikos Paliathanasis , Petros A. Terzis , T. Christodoulakis

The absence of a well-defined Fermi surface in flat-band systems challenges the conventional understanding of instabilities toward Landau order based on nesting. We investigate the existence of an intrinsic nesting structure encoded in the…

Strongly Correlated Electrons · Physics 2026-05-06 Jia-Xin Zhang , Wen O. Wang , Leon Balents , Lucile Savary

The notion of quantum symmetry has recently been extended to include reduced-dimensional transformations and algebraic structures beyond groups. Such generalized symmetries lead to exotic phases of matter and excitations that defy Landau's…

Quantum Physics · Physics 2025-12-29 Chinmay Giridhar , Philipp Vojta , Zohar Nussinov , Gerardo Ortiz , Andriy H. Nevidomskyy

The Fermi surface of the Bi2212 system is systematically studied using a variety of photon energies. In addition to reconciling the conflicting reports on the Fermi surface of this important material, we identify almost perfectly nested…

We provide a mathematically rigorous framework for supersymmetric fermion lattice systems. We construct supersymmetric C*-dynamics in terms of a nilpotent superderivation and a one-parameter group of automorphisms on the CAR-algebra. (We do…

Mathematical Physics · Physics 2015-11-26 Hajime Moriya

We study the low energy effective theory for a non-Fermi liquid state in 2+1 dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with N flavors of fermion in the large N limit. In the low energy limit,…

Strongly Correlated Electrons · Physics 2009-10-01 Sung-Sik Lee

In this work, we introduce some new $U(1)$ symmetry groups of the free fermionic action in euclidean space-time, which are a consequence of parity and time-reversal symmetries. Afterwards, we discuss how the introduction of a gauge…

High Energy Physics - Lattice · Physics 2022-07-15 Marco Catillo

Determinant Quantum Monte Carlo (DQMC) is a powerful numerical technique to study many-body fermionic systems. In recent years, several classes of sign-free (SF) models have been discovered, where the notorious sign problem can be…

Strongly Correlated Electrons · Physics 2023-08-21 Ori Grossman , Erez Berg

We present a model of partial compositeness arising as the IR limit of a SU(4) gauge theory with only fermionic matter. This group is one of the most promising ones among a handful of possible choices allowing a symmetry breaking pattern…

High Energy Physics - Phenomenology · Physics 2015-06-19 Gabriele Ferretti

(N=2)-superspace without torsion is described, which is equivalent to an 8-space with a discrete internal subspace. A number and a character of ties determine now an internal symmetry group, while in the supersymmetrical models this one is…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

Interest in the heavy fermion metals has motivated us to examine the quantum phases and their Fermi surfaces within the Kondo lattice model. We demonstrate that the model is soluble asymptotically exactly in any dimension d>1, when the…

Strongly Correlated Electrons · Physics 2007-12-27 Seiji J. Yamamoto , Qimiao Si
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