Related Experiment Video
Updated: Mar 12, 2026
09:00
Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
Published on: June 28, 2018
10.6K
Chiral Spin Liquids in Triangular-Lattice SU(N) Fermionic Mott Insulators with Artificial Gauge Fields
Pierre Nataf1, Miklós Lajkó2, Alexander Wietek3
1Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
Physical Review Letters
|October 30, 2016
Summary
Ultracold fermions with SU(N) symmetry exhibit a novel chiral phase with topological order. This phase features unique ground states and chiral edge states, offering new avenues for quantum simulation.
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
- Ultracold Atomic Gases
Background:
- Mott insulating phases are crucial for understanding quantum many-body systems.
- SU(N) symmetric fermionic systems offer rich possibilities for exotic quantum phases.
- Artificial gauge fields enable the simulation of complex physical phenomena.
Purpose of the Study:
- To investigate the emergence of chiral phases in SU(N) symmetric Mott insulators of ultracold fermions.
- To characterize the topological order and low-energy properties of these phases.
- To explore the potential for realizing and detecting these states experimentally.
Main Methods:
- Extensive exact diagonalization for system sizes up to N=9.
- Development of a parton construction using Gutzwiller projected fermionic wave functions.
- Analysis of ground state properties and edge state behavior.
Main Results:
- Generic Mott insulating phases with SU(N) symmetry and a π/2 artificial gauge field exhibit an extended chiral phase.
- This phase possesses intrinsic topological order with an approximate ground space of N low-lying singlets.
- Chiral edge states are identified and described by the SU(N)₁ Wess-Zumino-Novikov-Witten conformal field theory.
Conclusions:
- The study demonstrates the existence of a novel topological chiral phase in ultracold fermionic systems.
- The findings provide a theoretical framework and experimental guidance for realizing topological phases with ultracold atoms.
- This work opens new possibilities for exploring topological quantum matter and its applications.
More Related Videos
Related Concept Videos
02:42Valence Bond Theory
11.5K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
11.5K
01:03Atomic Nuclei: Nuclear Spin State Overview
2.1K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
2.1K
02:30Chirality at Nitrogen, Phosphorus, and Sulfur
7.3K
Chirality is most prevalent in carbon-based tetrahedral compounds, but this important facet of molecular symmetry extends to sp3-hybridized nitrogen, phosphorus and sulfur centers, including trivalent molecules with lone pairs. Here, the lone pair behaves as a functional group in addition to the other three substituents to form an analogous tetrahedral center that can be chiral.
A consequence of chirality is the need for enantiomeric resolution. While this is theoretically possible for all...
A consequence of chirality is the need for enantiomeric resolution. While this is theoretically possible for all...
7.3K
02:25Chirality
31.5K
Chirality is a term that describes the lack of mirror symmetry in an object. In other words, chiral objects cannot be superposed on their mirror images. For example, our feet are chiral, as the mirror image of the left foot, the right foot, cannot be superposed on the left foot.
Chiral objects exhibit a sense of handedness when they interact with another chiral object. For example, our left foot can only fit in the left shoe and not in the right shoe. Achiral objects — objects that have...
Chiral objects exhibit a sense of handedness when they interact with another chiral object. For example, our left foot can only fit in the left shoe and not in the right shoe. Achiral objects — objects that have...
31.5K
01:08Spin–Spin Coupling Constant: Overview
1.6K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.6K
02:25Molecules with Multiple Chiral Centers
16.1K
Molecules that possess multiple chiral centers can afford a large number of stereoisomers. For instance, while some molecules like 2-butanol have one chiral center, defined as a tetrahedral carbon atom with four different substituents attached, several molecules like butane-2,3-diol have multiple chiral centers. A simple formula to predict the number of stereoisomers possible for a molecule with n chiral centers is 2n. However, there can be a lower number where some of the stereoisomers are...
16.1K