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The symmetric mass generation (SMG) phase is an insulator in which a single-particle gap is intrinsically opened by the interaction, without involving symmetry spontaneously breaking or topological order. Here, we perform unbiased quantum…

Strongly Correlated Electrons · Physics 2023-11-17 Wei-Xuan Chang , Sibo Guo , Yi-Zhuang You , Zi-Xiang Li

It is known that, under short-range interactions many topological superconductors (TSC) and topological insulators (TI) are trivialized, which means the boundary state of the system can be trivially gapped out by interaction without leading…

Strongly Correlated Electrons · Physics 2021-03-31 Yichen Xu , Cenke Xu

Symmetric mass generation (SMG) insulators are interaction-driven, featureless Mott insulating states in quantum many-body fermionic systems. Recent advancements suggest that zeros in the fermion Green's function could lead to non-vanishing…

Strongly Correlated Electrons · Physics 2024-05-10 Meng Zeng , Fu Xu , Da-Chuan Lu , Yi-Zhuang You

Using the density matrix renormalization group method, we systematically investigate the evolution of the Luttinger integral in the one-dimensional generalized $t$-$V$ model as a function of filling and interaction strength, and identify…

Strongly Correlated Electrons · Physics 2025-09-15 Meng Gao , Yin Zhong

Symmetric mass generation is a novel mechanism to give gapless fermions a mass gap by non-perturbative interactions without generating any fermion bilinear condensation. The previous studies of symmetric mass generation have been limited to…

Strongly Correlated Electrons · Physics 2023-05-23 Da-Chuan Lu , Meng Zeng , Juven Wang , Yi-Zhuang You

We present a sign-problem free quantum Monte Carlo study of a model that exhibits quantum phase transitions without symmetry breaking and associated changes in the size of the Fermi surface. The model is an Ising gauge theory on the square…

Strongly Correlated Electrons · Physics 2021-01-28 Snir Gazit , Fakher F. Assaad , Subir Sachdev

Three Fermion sumrules for interacting systems are derived at T=0, involving the number expectation $\bar{N}(\mu)$, canonical chemical potentials $\mu(m)$, a logarithmic time derivative of the Greens function $\gamma_{\vec{k} \sigma}$ and…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry

We construct, using fermionic functional integrals, thermodynamic Green's functions for a weakly coupled fermion gas whose Fermi energy lies in a gap. Estimates on the Green's functions are obtained that are characteristic of the size of…

Mathematical Physics · Physics 2009-11-07 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

We study a single exactly massless staggered fermion in the fundamental representation of an $SU(2)$ gauge group. We utilize an nHYP-smeared fermion action supplemented with additional heavy Pauli-Villars fields which serve to decrease…

High Energy Physics - Lattice · Physics 2024-12-20 Nouman Butt , Simon Catterall , Anna Hasenfratz

We calculate fermionic Green's functions for states of the three-dimensional ABJM M2-brane theory at large N using the gauge-gravity correspondence. We embed extremal black brane solutions in four-dimensional maximally supersymmetric gauged…

High Energy Physics - Theory · Physics 2015-07-08 Oliver DeWolfe , Oscar Henriksson , Christopher Rosen

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

Strongly Correlated Electrons · Physics 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

Symmetric mass generation (SMG) has been advocated as a mechanism to render mirror fermions massive without symmetry breaking, ultimately aiming for the construction of lattice chiral gauge theories. It has been argued that in an SMG phase,…

High Energy Physics - Lattice · Physics 2024-02-14 Maarten Golterman , Yigal Shamir

This study demonstrates that the zeros of the diagonal components of Green functions are key quantities that can detect non-interacting topological insulators. We show that zeros of the Green functions traverse the band gap in the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Takahiro Misawa , Youhei Yamaji

Inspired by the poles-zeros duality of Green's functions that appears in transitions into Mott-insulating phases in strongly correlated condensed matter systems, we propose a semi-holographic approach to Mott insulators. In this model, a…

We study the Dirac equation of a charged massless spinor on the general charged AdS black hole of conformal gravity. The equation can be solved exactly in terms of Heun's functions. We obtain the exact Green's function in the phase space…

High Energy Physics - Theory · Physics 2015-06-11 H. Lu , Zhao-Long Wang

The symmetric mass generation (SMG) approach to the construction of lattice chiral gauge theories attempts to use interactions to render mirror fermions massive without symmetry breaking, to obtain the desired chiral massless spectrum…

High Energy Physics - Lattice · Physics 2026-03-18 Maarten Golterman , Yigal Shamir

Within the symmetric mass generation (SMG) approach to the construction of lattice chiral gauge theories, one attempts to use interactions to render mirror fermions massive without symmetry breaking, thus obtaining the desired chiral…

High Energy Physics - Lattice · Physics 2026-01-13 Maarten Golterman , Yigal Shamir

We investigate the low energy properties of a correlated metal in the proximity of a Mott insulator within the Hubbard model in two dimensions. We introduce a new version of the Cellular Dynamical Mean Field Theory using cumulants as the…

Strongly Correlated Electrons · Physics 2009-11-11 Tudor D. Stanescu , Gabriel Kotliar

In this paper, we find mechanisms for the generation of Fermi arcs using the gauge/gravity correspondence. The gravity background is taken to be a charged black hole with vector hair in asymptotically AdS4 spacetime. The response function…

High Energy Physics - Theory · Physics 2010-07-05 David Vegh

The most well-known mechanism for fermions to acquire a mass is the Nambu-Goldstone-Anderson-Higgs mechanism, i.e. after a spontaneous symmetry breaking, a bosonic field that couples to the fermion mass term condenses, which grants a mass…

Strongly Correlated Electrons · Physics 2022-11-18 Juven Wang , Yi-Zhuang You
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