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Probing the Berry curvature and Fermi arcs of a Weyl circuit

Journal Article · · Physical Review B
 [1];  [2];  [2];  [2];  [3];  [2];  [2]
  1. Univ. of Chicago, IL (United States); DOE/OSTI
  2. Univ. of Chicago, IL (United States)
  3. Vilnius Univ. (Lithuania)
The Weyl particle is the massless fermionic cousin of the photon. While no fundamental Weyl particles have been identified, they arise in condensed matter and metamaterial systems, where their spinor nature imposes topological constraints on low-energy dispersion and surface properties. Here we demonstrate a topological circuit with Weyl dispersion at low momentum, realizing a 3D lattice that behaves as a half-flux Hofstadter model in all principal planes. The circuit platform provides access to the complete complex-valued spin texture of all bulk and surface states, thereby revealing not only the presence of Weyl points and the Fermi arcs that connect their surface projections, but also the Berry curvature distribution through the Brillouin zone and the associated quantized chiral charge of the Weyl points. Furthermore, this work opens a path to exploration of interacting Weyl physics in superconducting circuits, as well as studies of how manifold topology impacts band topology in three dimensions.
Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0010267
OSTI ID:
1611374
Alternate ID(s):
OSTI ID: 1489708
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 99; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (82)

A no-go theorem for regularizing chiral fermions journal October 1981
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics journal September 2004
Observation of unidirectional backscattering-immune topological electromagnetic states journal October 2009
Synthetic magnetic fields for ultracold neutral atoms journal December 2009
Spin–orbit-coupled Bose–Einstein condensates journal March 2011
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice journal March 2012
Designer Dirac fermions and topological phases in molecular graphene journal March 2012
Quantum nonlinear optics with single photons enabled by strongly interacting atoms journal July 2012
Photonic Floquet topological insulators journal April 2013
Experimental realization of the topological Haldane model with ultracold fermions journal November 2014
Type-II Weyl semimetals journal November 2015
Synthetic Landau levels for photons journal June 2016
Microscopy of the interacting Harper–Hofstadter model in the two-body limit journal June 2017
Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states journal October 2016
Imaging topological edge states in silicon photonics journal October 2013
Robust optical delay lines with topological protection journal August 2011
Experimental observation of optical Weyl points and Fermi arc-like surface states journal March 2017
Direct observation of topological surface-state arcs in photonic metamaterials journal July 2017
A strongly interacting polaritonic quantum dot journal March 2018
Topolectrical Circuits journal July 2018
Robust Digital Holography For Ultracold Atom Trapping journal October 2012
Topological mechanics of gyroscopic metamaterials journal November 2015
Fractional charge and inter-Landau–level states at points of singular curvature journal July 2016
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond journal March 2007
Light-induced gauge fields for ultracold atoms journal November 2014
Quantum Hall physics with cold atoms in cylindrical optical lattices journal January 2016
Dirac-, Rashba-, and Weyl-type spin-orbit couplings: Toward experimental realization in ultracold atoms journal January 2018
Quarter-flux Hofstadter lattice in a qubit-compatible microwave cavity array journal January 2018
Friedel oscillations due to Fermi arcs in Weyl semimetals journal November 2012
Interacting Weyl fermions: Phases, phase transitions, and global phase diagram journal May 2017
Excitonic Phases from Weyl Semimetals journal November 2012
Synthetic Gauge Fields in Synthetic Dimensions journal January 2014
Topological Properties of Linear Circuit Lattices journal April 2015
Weyl Points in Three-Dimensional Optical Lattices: Synthetic Magnetic Monopoles in Momentum Space journal June 2015
Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids journal December 2015
Homogeneous Atomic Fermi Gases journal March 2017
Non-Abelian Majorana Modes Protected by an Emergent Second Chern Number journal May 2017
Time- and Site-Resolved Dynamics in a Topological Circuit journal June 2015
Experimental Discovery of Weyl Semimetal TaAs journal July 2015
Engineering Topological Many-Body Materials in Microwave Cavity Arrays journal December 2016
On-Chip Microwave Quantum Hall Circulator journal January 2017
Designer Curved-Space Geometry for Relativistic Fermions in Weyl Metamaterials journal October 2017
Many-body physics with ultracold gases journal July 2008
Quantum fluids of light journal February 2013
Weyl and Dirac semimetals in three-dimensional solids journal January 2018
Photonic Floquet topological insulators conference September 2013
Strongly correlated quantum walks in optical lattices journal March 2015
Visualizing edge states with an atomic Bose gas in the quantum Hall regime journal September 2015
Observation of chiral edge states with neutral fermions in synthetic Hall ribbons journal September 2015
Experimental observation of Weyl points journal July 2015
Discovery of a Weyl fermion semimetal and topological Fermi arcs journal July 2015
Observation of phononic helical edge states in a mechanical topological insulator journal July 2015
Ideal Weyl points and helicoid surface states in artificial photonic crystal structures journal January 2018
Discovery of Weyl Fermion Semimetals and Topological Fermi Arc States journal March 2017
Topological Nodal States in Circuit Lattice journal September 2018
Homogeneous Atomic Fermi Gases text January 2017
Many-Body Physics with Ultracold Gases text January 2007
Robust optical delay lines via topological protection text January 2011
Robust Digital Holography For Ultracold Atom Trapping text January 2011
Quantum fluids of light text January 2012
Excitonic Phases from Weyl Semi-Metals text January 2012
Friedel oscillations due to Fermi arcs in Weyl semimetals text January 2012
Photonic Floquet Topological Insulators text January 2012
Synthetic gauge fields in synthetic dimensions text January 2013
Light-induced gauge fields for ultracold atoms text January 2013
Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids text January 2014
Fractional charge and inter-Landau level states at points of singular curvature text January 2014
Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space text January 2014
Visualizing edge states with an atomic Bose gas in the quantum Hall regime text January 2015
Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs text January 2015
Experimental discovery of Weyl semimetal TaAs text January 2015
Topological mechanics of gyroscopic metamaterials text January 2015
Type-II Weyl Semimetals text January 2015
Synthetic Landau levels for photons text January 2015
Non-Abelian Majorana modes protected by an emergent second Chern number text January 2016
Microscopy of the interacting Harper-Hofstadter model in the few-body limit text January 2016
Discovery of Weyl fermion semimetals and topological Fermi arc states text January 2017
Designer curved-space geometry for relativistic fermions in Weyl metamaterials text January 2017
Topolectrical circuits text January 2017
Weyl and Dirac Semimetals in Three Dimensional Solids text January 2017
Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms text January 2017
Topological nodal states in circuit lattice text January 2018

Cited By (21)

Emergence and full 3D-imaging of nodal boundary Seifert surfaces in 4D topological matter journal October 2019
Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit journal June 2019
Non-Hermitian Exceptional Landau Quantization in Electric Circuits journal January 2020
Braiding of Majorana-like corner states in electric circuits and its non-Hermitian generalization journal July 2019
Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices journal August 2019
Electric circuit simulations of n th -Chern-number insulators in 2 n -dimensional space and their non-Hermitian generalizations for arbitrary n journal August 2019
Electric circuits for non-Hermitian Chern insulators journal August 2019
Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks journal October 2019
Topological Anderson insulator in electric circuits journal November 2019
Topoelectrical circuit octupole insulator with topologically protected corner states journal November 2019
Topological phases in non-Hermitian Aubry-André-Harper models journal January 2020
Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits journal March 2019
Controllable two-qubit swapping gate using superconducting circuits journal April 2019
Band structure engineering and reconstruction in electric circuit networks journal April 2019
Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization journal May 2019
π -fluxes, semimetals, and flat bands in artificial materials journal November 2019
Topological photonics journal March 2019
Band structure engineering and reconstruction in electric circuit networks text January 2018
Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits text January 2018
Electric circuits for non-Hermitian Chern insulators text January 2019
Topolectrical-circuit octupole insulator with topologically protected corner states text January 2019

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