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A sufficiently strong long-range Coulomb interaction can induce excitonic pairing in gapless Dirac semimetals, which generates a finite gap and drives semimetal-insulator quantum phase transition. This phenomenon is in close analogy to…

Strongly Correlated Electrons · Physics 2017-02-20 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

The quantum phase diagram and critical behavior of two-dimensional Dirac fermions coupled to two compatible order-parameter fields with $O(N_1)\oplus O(N_2)$ symmetry is investigated. Recent numerical studies of such systems have reported…

Strongly Correlated Electrons · Physics 2020-04-15 Emilio Torres , Lukas Weber , Lukas Janssen , Stefan Wessel , Michael M. Scherer

We use determinant quantum Monte Carlo (DQMC) simulations to study the role of electron-electron interactions on three-dimensional (3D) Dirac fermions based on the $\pi$-flux model on a cubic lattice. We show that the Hubbard interaction…

Strongly Correlated Electrons · Physics 2020-11-04 Yiqun Huang , Huaiming Guo , Joseph Maciejko , Richard T. Scalettar , Shiping Feng

Nodal-line semimetals are topological phases where the conduction and the valence bands cross each other along one-dimensional lines in the Brillouin zone, which are symmetry protected by either spatial symmetries or time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 R. Flores-Calderón , Leonardo Medel , A. Martín-Ruiz

Driving a quantum system out of equilibrium while preserving its subtle quantum mechanical correlations on large scales presents a major challenge, both fundamentally and for technological applications. At its core, this challenge is…

Statistical Mechanics · Physics 2026-01-28 Rohan Mittal , Tom Zander , Johannes Lang , Sebastian Diehl

Progress in the understanding of quantum critical properties of itinerant electrons has been hindered by the lack of effective models which are amenable to controlled analytical and numerically exact calculations. Here we establish that the…

Disordered Systems and Neural Networks · Physics 2016-02-02 J. H. Pixley , Pallab Goswami , S. Das Sarma

We study the effect of disorder on massless, spinful Dirac fermions in two spatial dimensions with attractive interactions, and show that the combination of disorder and attractive interactions is deadly to the Dirac semimetal phase. First,…

Strongly Correlated Electrons · Physics 2013-05-15 Rahul Nandkishore , Joseph Maciejko , David A. Huse , S. L. Sondhi

In the study of quantum transport, much has been known for dynamics near thermal equilibrium. However, quantum transport far away from equilibrium is much less well understood--the linear response approximation does not hold for physics…

Quantum Gases · Physics 2022-12-07 Jie Zou , Xiaopeng Li

We study the thermoelectric transport properties of a three-dimensional massive relativistic fermion gas with screened Coulomb impurities in high magnetic fields where only the lowest Landau levels contribute to the transport. Our results…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Viktor Könye , Masao Ogata

Helical symmetry of massive Dirac fermions is broken explicitly in the presence of electric and magnetic fields. Here we present two equations for the divergence of helical and axial-vector currents following the Jackiw-Johnson approach to…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

Creation of charged fermion pair from a vacuum in the so-called supercritical Coulomb potential is examined for the case when created pair moves in one plane. In which case the quantum dynamics of charged massive or massless fermions can be…

High Energy Physics - Phenomenology · Physics 2018-01-17 V. R. Khalilov

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

Strongly Correlated Electrons · Physics 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

Based on phase space arguments, we develop a simple approach to metallic quantum critical points, designed to study the problem without integrating the fermions out of the partition function. The method is applied to the spin-fermion model…

Strongly Correlated Electrons · Physics 2009-11-07 C. Pepin , J. Rech , R. Ramazashvili

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

We study the interplay of quark number density and chiral symmetry in lattice QCD. We suggest that both are controlled by the eigenvalue spectrum of the fermionic propagator matrix, which shapes the pattern of zeros of the partition…

High Energy Physics - Lattice · Physics 2007-05-23 M. -P. Lombardo

Chiral anomaly is a very fundamental aspect of quantum theories with chiral fermion, from the Standard Model to supersymmetric field theories or even string theories. How such microscopic anomaly manifests itself in a macroscopic many-body…

High Energy Physics - Phenomenology · Physics 2016-12-22 Jinfeng Liao

The interactions of heavy quarks with the partonic environment at finite temperature $T$ and finite quark chemical potential $\mu_q$ are investigated in terms of transport coefficients within the Dynamical Quasi-Particle model (DQPM)…

High Energy Physics - Phenomenology · Physics 2014-11-11 H. Berrehrah , P. B. Gossiaux , J. Aichelin , W. Cassing , J. M. Torres-Rincon , E. Bratkovskaya

Topological states of electrons present new avenues to explore the rich phenomenology of correlated quantum matter. Topological insulators (TIs) in particular offer an experimental setting to study novel quantum critical points (QCPs) of…

Strongly Correlated Electrons · Physics 2016-07-27 William Witczak-Krempa , Joseph Maciejko

As a low-energy effective theory on non-symmorphic lattices, we consider a generic triple point fermion Hamiltonian which is parameterized by an angular parameter $\lambda$. We find strong $\lambda$ dependence in both Drude and interband…

Strongly Correlated Electrons · Physics 2021-01-19 Alireza Habibi , Tohid Farajollahpour , S. A. Jafari

The strong Coulomb interaction between massless Dirac fermions can drive a semimetal-insulator transition in single-layer graphene by dynamically generating an excitonic fermion gap. There is a critical interaction strength $\lambda_c$ that…

Strongly Correlated Electrons · Physics 2015-03-13 Wei Li , Guo-Zhu Liu