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Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges $\pm e/2$. We calculate quantum mechanical ground states, low--lying excitations…

Strongly Correlated Electrons · Physics 2009-11-13 E. Runge , F. Pollmann , P. Fulde

Fractionalized excitations develop in many unusual many-body states such as quantum spin liquids, disordered phases that cannot be described using any local order parameter. Because these exotic excitations correspond to emergent degrees of…

Strongly Correlated Electrons · Physics 2020-06-17 Wen-Jun Hu , Yi Zhang , Andriy H. Nevidomskyy , Elbio Dagotto , Qimiao Si , Hsin-Hua Lai

The notion of fractional charges was up until now reserved for quasiparticle excitations emerging in strongly correlated quantum systems, such as Laughlin states in the fractional quantum Hall effect, Luttinger quasiparticles, or…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Roman-Pascal Riwar

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

Fractional quantum Hall (FQH) phases emerge due to strong electronic interactions and are characterized by anyonic quasiparticles, each distinguished by unique topological parameters, fractional charge, and statistics. In contrast, the…

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

We establish the quantum fluctuations $\Delta Q_B^2$ of the charge $Q_B$ accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for…

We develop a new theoretical framework for describing and analyzing exotic phases of strongly correlated electrons which support excitations with fractional quantum numbers. Starting with a class of microscopic models believed to capture…

Strongly Correlated Electrons · Physics 2009-10-31 T. Senthil , Matthew P. A. Fisher

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

The observed Standard Model is consistent with the existence of vector-like species with electric charge a multiple of $e/6$. The discovery of a fractionally charged particle would provide nonperturbative information about Standard Model…

High Energy Physics - Phenomenology · Physics 2025-02-24 Seth Koren , Adam Martin

Small changes in an external parameter can often lead to dramatic qualitative changes in the lowest energy quantum mechanical ground state of a correlated electron system. In anisotropic crystals, such as the high temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Subir Sachdev

We study two flavors of massless staggered fermions interacting via an on-site four-fermion inter- action and argue that the model contains an exotic quantum critical point separating the perturba- tive massless phase from a massive fermion…

High Energy Physics - Lattice · Physics 2015-12-01 Venkitesh Ayyar

The Landau paradigm of phase transitions is one of the backbones in critical phenomena. With a $Z_2$ symmetry, it describes the Ising universality class whose central charge is one half (c = 1=2) in two spatial dimensions (2D). Recent…

Strongly Correlated Electrons · Physics 2018-03-05 Sangjin Lee , Jun Jung , Ara Go , Eun-Gook Moon

XY* transitions represent one of the simplest examples of unconventional quantum criticality, in which fractionally charged excitations condense into a superfluid, and display novel features that combine quantum criticality and…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Ya-Hui Zhang , Zheng Zhu , Ashvin Vishwanath

Quantum critical points (QCPs) are widely accepted as a source of a diverse set of collective quantum phases of matter. A central question is how the order parameters of phases near a QCP interact and determine the fundamental character of…

Strongly Correlated Electrons · Physics 2017-11-10 L. Poudel , J. M. Lawrence , L. S. Wu , G. Ehlers , Y. Qiu , A. F. May , F. Ronning , M. D. Lumsden , D. Mandrus , A. D. Christianson

We study the critical exponents in the universal scaling laws of a holographic non-equilibrium steady state nearby its critical point of phase transition, which is driven by an AC electric field sitting in the boundary of the bulk. The…

High Energy Physics - Theory · Physics 2018-12-05 Hua-Bi Zeng , Hai-Qing Zhang

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

Fractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Chaojing Lin , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

Precision study of few-electron, high-$Z$ ions is a privileged field for probing high-field, bound-state quantum electrodynamics (BSQED). However, the accuracy of such tests is plagued by nuclear uncertainties, which are often larger than…

Atomic Physics · Physics 2021-05-05 Nancy Paul , Guojie Bian , Toshiyuki Azuma , Shinji Okada , Paul Indelicato

We investigate the finite-size scaling of the boundary quantum geometric tensor (QGT) numerically close to the Anderson localization transition in the presence of small external magnetic fields. The QGT exhibits universal scaling and…

Disordered Systems and Neural Networks · Physics 2019-03-27 Miklós Antal Werner , Arne Brataas , Felix von Oppen , Gergely Zaránd
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