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Title: Competing orders at higher-order Van Hove points

Abstract

Van Hove points are special points in the energy dispersion, where the density of states exhibits analytic singularities. When a Van Hove point is close to the Fermi level, tendencies towards density wave orders, Pomeranchuk orders, and superconductivity can all be enhanced, often in more than one channel, leading to a competition between different orders and unconventional ground states. Here we consider the effects from higher-order Van Hove points, around which the dispersion is flatter than near a conventional Van Hove point, and the density of states has a power-law divergence. We argue that such points are present in intercalated graphene and other materials. We use an effective low-energy model for electrons near higher-order Van Hove points and analyze the competition between different ordering tendencies using an unbiased renormalization-group approach. For purely repulsive interactions, we find that two key competitors are ferromagnetism and chiral superconductivity. For a small attractive interaction, we find an unconventional spin Pomeranchuk order, in wich the spin oder parameter winds around the Fermi surface. The supermetal state, predicted for a single higher-order Van Hove point, is an unstable fixed point in our case.

Authors:
ORCiD logo [1];  [2];  [3];  [4]
  1. Univ. of Minnesota, Minneapolis, MN (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Univ. of Minnesota, Minneapolis, MN (United States)
  3. RWTH Aachen Univ. (Germany); JARA-FIT, Aachen (Germany)
  4. Univ. zu Koln (Germany)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); German Research Foundation (DFG)
OSTI Identifier:
1677659
Alternate Identifier(s):
OSTI ID: 1804110
Report Number(s):
BNL-219951-2020-JAAM
Journal ID: ISSN 2469-9950
Grant/Contract Number:  
SC0012704; SC0014402; SFB-1238
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 102; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; exotic phases of matter; magnetic order; superconducting order parameter; van Hove singularity; honeycomb lattice; renormalization group; 36 MATERIALS SCIENCE

Citation Formats

Classen, Laura, Chubukov, Andrey V., Honerkamp, Carsten, and Scherer, Michael M.. Competing orders at higher-order Van Hove points. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevb.102.125141.
Classen, Laura, Chubukov, Andrey V., Honerkamp, Carsten, & Scherer, Michael M.. Competing orders at higher-order Van Hove points. United States. https://doi.org/10.1103/physrevb.102.125141
Classen, Laura, Chubukov, Andrey V., Honerkamp, Carsten, and Scherer, Michael M.. Thu . "Competing orders at higher-order Van Hove points". United States. https://doi.org/10.1103/physrevb.102.125141. https://www.osti.gov/servlets/purl/1677659.
@article{osti_1677659,
title = {Competing orders at higher-order Van Hove points},
author = {Classen, Laura and Chubukov, Andrey V. and Honerkamp, Carsten and Scherer, Michael M.},
abstractNote = {Van Hove points are special points in the energy dispersion, where the density of states exhibits analytic singularities. When a Van Hove point is close to the Fermi level, tendencies towards density wave orders, Pomeranchuk orders, and superconductivity can all be enhanced, often in more than one channel, leading to a competition between different orders and unconventional ground states. Here we consider the effects from higher-order Van Hove points, around which the dispersion is flatter than near a conventional Van Hove point, and the density of states has a power-law divergence. We argue that such points are present in intercalated graphene and other materials. We use an effective low-energy model for electrons near higher-order Van Hove points and analyze the competition between different ordering tendencies using an unbiased renormalization-group approach. For purely repulsive interactions, we find that two key competitors are ferromagnetism and chiral superconductivity. For a small attractive interaction, we find an unconventional spin Pomeranchuk order, in wich the spin oder parameter winds around the Fermi surface. The supermetal state, predicted for a single higher-order Van Hove point, is an unstable fixed point in our case.},
doi = {10.1103/physrevb.102.125141},
journal = {Physical Review B},
number = 12,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

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