Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and crossover from non-Fermi liquid to Fermi liquid
Abstract
The interplay between strong correlations and nontrivial topology in twisted moiré systems can give rise to a rich landscape of ordered states that intertwine the spin, valley, and charge degrees of freedom. In this paper, we investigate the properties of a system that displays long-range valley-polarized nematic order. Besides breaking the threefold rotational symmetry of the triangular moiré superlattice, this type of order also breaks twofold rotational and time-reversal symmetries, which leads to interesting properties. First, we develop a phenomenological model to describe the onset of this ordered state in twisted moiré systems, and to explore its signatures in their thermodynamic and electronic properties. Its main manifestation is that it triggers the emergence of in-plane orbital magnetic moments oriented along high-symmetry lattice directions. We also investigate the properties of the valley-polarized nematic state at zero temperature. Due to the existence of a dangerously irrelevant coupling λ in the six-state clock model that describes the putative valley-polarized nematic quantum critical point, the ordered state displays a pseudo-Goldstone mode. Using a two-patch model, we compute the fermionic self-energy to show that down to very low energies, the Yukawa-like coupling between the pseudo-Goldstone mode and the electronic degrees of freedom promotes the emergencemore »
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1962701
- Alternate Identifier(s):
- OSTI ID: 1962310
- Grant/Contract Number:
- SC0020045
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Name: Physical Review. B Journal Volume: 107 Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Electronic structure; Nematic order; Order parameters; Quantum phase transitions; Fermi liquid theory; Non-Fermi-liquid theory
Citation Formats
Mandal, Ipsita, and Fernandes, Rafael M. Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and crossover from non-Fermi liquid to Fermi liquid. United States: N. p., 2023.
Web. doi:10.1103/PhysRevB.107.125142.
Mandal, Ipsita, & Fernandes, Rafael M. Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and crossover from non-Fermi liquid to Fermi liquid. United States. https://doi.org/10.1103/PhysRevB.107.125142
Mandal, Ipsita, and Fernandes, Rafael M. Tue .
"Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and crossover from non-Fermi liquid to Fermi liquid". United States. https://doi.org/10.1103/PhysRevB.107.125142.
@article{osti_1962701,
title = {Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and crossover from non-Fermi liquid to Fermi liquid},
author = {Mandal, Ipsita and Fernandes, Rafael M.},
abstractNote = {The interplay between strong correlations and nontrivial topology in twisted moiré systems can give rise to a rich landscape of ordered states that intertwine the spin, valley, and charge degrees of freedom. In this paper, we investigate the properties of a system that displays long-range valley-polarized nematic order. Besides breaking the threefold rotational symmetry of the triangular moiré superlattice, this type of order also breaks twofold rotational and time-reversal symmetries, which leads to interesting properties. First, we develop a phenomenological model to describe the onset of this ordered state in twisted moiré systems, and to explore its signatures in their thermodynamic and electronic properties. Its main manifestation is that it triggers the emergence of in-plane orbital magnetic moments oriented along high-symmetry lattice directions. We also investigate the properties of the valley-polarized nematic state at zero temperature. Due to the existence of a dangerously irrelevant coupling λ in the six-state clock model that describes the putative valley-polarized nematic quantum critical point, the ordered state displays a pseudo-Goldstone mode. Using a two-patch model, we compute the fermionic self-energy to show that down to very low energies, the Yukawa-like coupling between the pseudo-Goldstone mode and the electronic degrees of freedom promotes the emergence of non-Fermi liquid behavior. Below a crossover energy scale Ω* ~ λ3/2, however, Fermi liquid behavior is recovered. Finally, we discuss the applicability of these results to other nontrivial nematic states, such as the spin-polarized nematic phase.},
doi = {10.1103/PhysRevB.107.125142},
journal = {Physical Review. B},
number = 12,
volume = 107,
place = {United States},
year = {Tue Mar 21 00:00:00 EDT 2023},
month = {Tue Mar 21 00:00:00 EDT 2023}
}
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