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We develop a general numerical method to study the zero temperature properties of strongly correlated electron models on large lattices. The technique, which resembles Green's Function Monte Carlo, projects the ground state component from a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Stephen Hellberg , Efstratios Manousakis

In theory of superconducting junctions, Green's function has an important role to obtain Andreev bound states, local density of states and Josephson current in a systematic way. In this article, we show how to construct Green's function on…

Superconductivity · Physics 2016-01-27 Bo Lu , Yukio Tanaka

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions interacting via a two-body potential with a free space infinite scattering length and zero effective range; the Unitary limit. Given the…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

Using results established in other papers in our series, we prove the existence of the infinite volume, temperature zero, thermodynamic Green's functions of a two dimensional, weakly coupled fermion gas with an asymmetric Fermi curve and…

Mathematical Physics · Physics 2007-05-23 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

The long search for insulating materials that possess low-energy quasiparticles carrying electron's quantum numbers except charge - inspired by the neutral spin-1/2 excitations, the so-called spinons, exhibited by Anderson's…

Strongly Correlated Electrons · Physics 2023-04-26 Michele Fabrizio

We propose a novel solution to the Strong CP problem -- to explain why SU(3) strong force has a nearly zero theta angle $\bar\theta_3 \simeq 0$ for the 4d Standard Model (SM). The new ingredient is Symmetric Mass Generation (SMG):…

High Energy Physics - Phenomenology · Physics 2023-01-20 Juven Wang

We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and…

High Energy Physics - Theory · Physics 2015-06-22 Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang , Jian-Pin Wu

Signatures of symmetric mass generation (SMG) have recently been reported in lattice QCD calculations employing staggered fermions. We discuss the general criteria for SMG, and demonstrate that these conditions are indeed met by the…

High Energy Physics - Lattice · Physics 2026-04-06 Anna Hasenfratz , Cenke Xu

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

The topological classification of electronic band structures is based on symmetry properties of Bloch eigenstates of single-particle Hamiltonians. In parallel, topological field theory has opened the doors to the formulation and…

We construct a four dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental…

High Energy Physics - Lattice · Physics 2021-11-02 Nouman Butt , Simon Catterall , Goksu Can Toga

We derive a generalized Luttinger-Ward expression for the Free energy of a many body system involving a constrained Hilbert space. In the large $N$ limit, we are able to explicity write the entropy as a functional of the Green's functions.…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , I. Paul , J. Rech

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

Nuclear Theory · Physics 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is employed to analyze the nature of the semimetallic phase of the two-dimensional Hubbard model on the honeycomb lattice at half filling. It is shown that the…

Strongly Correlated Electrons · Physics 2019-04-03 Kazuhiro Seki , Yuichi Otsuka , Seiji Yunoki , Sandro Sorella

In recent years tantalizing signs for a novel phase have been reported that is chirally symmetric but nevertheless exhibits massive bound states. The necessary condition for such a phase, referred to as Symmetric Mass Generation (SMG), is…

High Energy Physics - Lattice · Physics 2025-12-01 Anna Hasenfratz , Oliver Witzel

In this work we provide a new direct and non-numerical technique to obtain the surface Green's functions for three-dimensional systems. This technique is based on the ideas presented in Phys. Rev. B 100, 081106(R), in which we start with an…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Sarah Pinon , Vardan Kaladzhyan , Cristina Bena

We investigate and classify Fermi surface behavior for a set of fermionic modes in a family of backgrounds holographically dual to N=4 Super-Yang-Mills theory at zero temperature with two distinct chemical potentials. We numerically solve…

High Energy Physics - Theory · Physics 2013-05-30 Oliver DeWolfe , Steven S. Gubser , Christopher Rosen

We explore the phase diagram of a lattice fermion model that exhibits three distinct phases: a massless fermion (MF) phase; a massive fermion phase with spontaneous symmetry breaking (SSB) induced by a fermion bilinear condensate; and a…

High Energy Physics - Lattice · Physics 2026-01-01 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina K. Marinkovic