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# Effect of strain on charge density wave order in the Holstein model

## Abstract

In this work, we investigate charge ordering in the Holstein model in the presence of anisotropic hopping, t _{x},t _{y}=1-δ,1+δ, as a model of the effect of strain on charge-density-wave (CDW) materials. Using quantum Monte Carlo simulations, we show that the CDW transition temperature is relatively insensitive to moderate anisotropy δ≲0.3, but begins to decrease more rapidly at δ≳0.4. However, the density correlations, as well as the kinetic energies parallel and perpendicular to the compressional axis, change significantly for moderate δ. Accompanying mean-field theory calculations show a similar qualitative structure, with the transition temperature relatively constant at small δ, and a more rapid decrease for larger strains. We also obtain the density of states N(ω), which provides clear signal of the charge ordering transition at large strain, where finite size scaling of the charge structure factor is extremely difficult because of the small value of the order parameter.

- Authors:

- Univ. of California, Davis, CA (United States)
- International School for Advanced Studies (SISSA), Trieste (Italy); Universidade Federal do Rio de Janeiro (Brazil)
- San José State Univ., CA (United States)

- Publication Date:

- Research Org.:
- Univ. of California, Davis, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)

- OSTI Identifier:
- 1597050

- Alternate Identifier(s):
- OSTI ID: 1546427

- Grant/Contract Number:
- SC0014671; MR-1609560; OAC-1626645

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 4; 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; Charge density waves; Phase transitions

### Citation Formats

```
Cohen-Stead, B., Costa, N. C., Khatami, E., and Scalettar, R. T. Effect of strain on charge density wave order in the Holstein model. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.045125.
```

```
Cohen-Stead, B., Costa, N. C., Khatami, E., & Scalettar, R. T. Effect of strain on charge density wave order in the Holstein model. United States. doi:10.1103/PhysRevB.100.045125.
```

```
Cohen-Stead, B., Costa, N. C., Khatami, E., and Scalettar, R. T. Wed .
"Effect of strain on charge density wave order in the Holstein model". United States. doi:10.1103/PhysRevB.100.045125.
```

```
@article{osti_1597050,
```

title = {Effect of strain on charge density wave order in the Holstein model},

author = {Cohen-Stead, B. and Costa, N. C. and Khatami, E. and Scalettar, R. T.},

abstractNote = {In this work, we investigate charge ordering in the Holstein model in the presence of anisotropic hopping, tx,ty=1-δ,1+δ, as a model of the effect of strain on charge-density-wave (CDW) materials. Using quantum Monte Carlo simulations, we show that the CDW transition temperature is relatively insensitive to moderate anisotropy δ≲0.3, but begins to decrease more rapidly at δ≳0.4. However, the density correlations, as well as the kinetic energies parallel and perpendicular to the compressional axis, change significantly for moderate δ. Accompanying mean-field theory calculations show a similar qualitative structure, with the transition temperature relatively constant at small δ, and a more rapid decrease for larger strains. We also obtain the density of states N(ω), which provides clear signal of the charge ordering transition at large strain, where finite size scaling of the charge structure factor is extremely difficult because of the small value of the order parameter.},

doi = {10.1103/PhysRevB.100.045125},

journal = {Physical Review B},

number = 4,

volume = 100,

place = {United States},

year = {2019},

month = {7}

}

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