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Quantum anomalies arise when symmetries of a classical theory cannot be preserved upon quantization, leading to unconventional topological responses. A prominent example is the parity anomaly of a single two-dimensional Dirac fermion, which…

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

介观与纳米尺度物理 · 物理学 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

In this paper, we investigate the emergence of non-Hermitian phase transitions on a quantum wormhole surface. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum wormhole surface. The…

广义相对论与量子宇宙学 · 物理学 2025-04-25 José A. S. Lourenço , Ygor Pará , J. Furtado

We investigate the influence of the boundary conditions on the scale invariant critical level statistics at the metal insulator transition of disordered three-dimensional orthogonal and two-dimensional unitary and symplectic tight-binding…

无序系统与神经网络 · 物理学 2015-06-25 L. Schweitzer , H. Potempa

We consider the effect of disorder on the spectrum of quasiparticles in the point-node and nodal-line superconductors. Due to the anisotropic dispersion of quasiparticles disorder scattering may render the Hamiltonian describing these…

超导电性 · 物理学 2019-05-08 Alexander A. Zyuzin , Pascal Simon

We derive the theory of the quantum (zero temperature) superconductor to metal transition in disordered materials when the resistance of the normal metal near criticality is small compared to the quantum of resistivity. This can occur most…

强关联电子 · 物理学 2009-11-13 B. Spivak , P. Oreto , S. A. Kivelson

Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the…

强关联电子 · 物理学 2019-05-29 Zhen Bi , T. Senthil

We study the Anderson-type transition previously found in the spectrum of the QCD quark Dirac operator in the high temperature, quark-gluon plasma phase. Using finite size scaling for the unfolded level spacing distribution, we show that in…

高能物理 - 格点 · 物理学 2014-04-02 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

The nature of the pseudogap phase remains a major barrier to our understanding of cuprate high-temperature superconductivity. Whether or not this metallic phase is defined by any of the reported broken symmetries, the topology of its Fermi…

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Rajagopal , F. Wilczek

We study the effects of an external magnetic field on the superconducting properties of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. An explicit expression for the superconducting gap is obtained as a…

超导电性 · 物理学 2008-11-26 E. C. Marino , Lizardo H. C. M. Nunes

We identify a quantum critical point with fractal symmetry whose effective theory eludes the renormalization group framework. We consider the Newman-Moore model with three-body interaction subjected to an external transverse field, which…

强关联电子 · 物理学 2021-05-14 Zheng Zhou , Xue-Feng Zhang , Frank Pollmann , Yizhi You

In this work, we explore an unconventional class of problems in the study of (quantum) critical phenomena, termed ''deep boundary criticality''. Traditionally, critical systems are analyzed with two types of perturbations: those uniformly…

强关联电子 · 物理学 2025-10-23 Shang Liu

We investigate nematic quantum phase transitions in two different Dirac fermion models. The models feature twofold and fourfold, respectively, lattice rotational symmetries that are spontaneously broken in the ordered phase. Using…

强关联电子 · 物理学 2022-04-19 Jonas Schwab , Lukas Janssen , Kai Sun , Zi Yang Meng , Igor F. Herbut , Matthias Vojta , Fakher F. Assaad

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

强关联电子 · 物理学 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and…

统计力学 · 物理学 2009-11-11 Florian Baumann , Michel Pleimling

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition,…

量子物理 · 物理学 2009-11-13 A. Bermudez , M. A. Martin-Delgado , A. Luis

This article reviews the unconventional effects of random disorder on magnetic quantum phase transitions, focusing on a number of new experimental and theoretical developments during the last three years. On the theory side, we address…

强关联电子 · 物理学 2014-08-26 Thomas Vojta

We examine the nature of phase transitions occurring in strongly correlated Fermi systems at the quantum critical point (QCP) associated with a divergent effective mass. Conventional scenarios for the QCP involving collective degrees of…

强关联电子 · 物理学 2010-04-20 V. A. Khodel , J. W. Clark , M. V. Zverev

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in…

强关联电子 · 物理学 2009-01-06 Thomas Vojta , Chetan Kotabage , J. A. Hoyos