journal article·2024-06-07

Finite-temperature minimally entangled typical thermal states impurity solver

Xiaodong Cao, E. Miles Stoudenmire, Olivier Parcollet

Physical Review B· Volume 109· Issue 24
Publisher page

Abstract

We present a minimally entangled typical thermal state quantum impurity solver for general multiorbital systems at finite temperatures. We introduce an improved estimator for the single-particle Green's function that strongly reduces the large fluctuations at long imaginary time and low temperature, which were a severe limitation of the original algorithm. In combination with the fork tensor product states Ansatz, we obtain a dynamical mean field theory (DMFT) quantum impurity solver, which we benchmark for single and three-band models down to low temperatures, including the effect of spin-orbit coupling in a realistic DMFT computation for the Hund's metal ${\mathrm{Sr}}2{\mathrm{RuO}}4$ down to low temperatures.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Quantum many-body systems · Quantum and electron transport phenomena · Physics of Superconductivity and Magnetism

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Flatiron Institute

Université Paris-Saclay

Funding

Simons Foundation

References (87)

Show source-provided references
1. 10.1103/PhysRevLett.62.32410.1103/PhysRevLett.62.324 ↗
2. 10.1103/PhysRevLett.69.124010.1103/PhysRevLett.69.1240 ↗
3. 10.1103/RevModPhys.68.1310.1103/RevModPhys.68.13 ↗
4. 10.1103/RevModPhys.70.103910.1103/RevModPhys.70.1039 ↗
5. 10.1063/1.171250210.1063/1.1712502 ↗
6. 10.1103/RevModPhys.78.86510.1103/RevModPhys.78.865 ↗
7. 10.1146/annurev-conmatphys-020911-12504510.1146/annurev-conmatphys-020911-125045 ↗
8. 10.1103/RevModPhys.83.34910.1103/RevModPhys.83.349 ↗
9. 10.1103/PhysRevB.51.1041110.1103/PhysRevB.51.10411 ↗
10. 10.1103/PhysRevB.72.03512210.1103/PhysRevB.72.035122 ↗
11. 10.1103/PhysRevLett.97.07640510.1103/PhysRevLett.97.076405 ↗
12. 10.1103/PhysRevB.74.15510710.1103/PhysRevB.74.155107 ↗
13. 10.1209/0295-5075/82/5700310.1209/0295-5075/82/57003 ↗
14. 10.1103/PhysRevLett.72.154510.1103/PhysRevLett.72.1545 ↗
15. 10.1103/PhysRevB.73.20512110.1103/PhysRevB.73.205121 ↗
16. 10.1103/PhysRevB.76.24511610.1103/PhysRevB.76.245116 ↗
17. 10.1103/PhysRevB.78.11510210.1103/PhysRevB.78.115102 ↗
18. 10.1103/PhysRevB.86.16512810.1103/PhysRevB.86.165128 ↗
19. 10.1103/PhysRevB.88.03512310.1103/PhysRevB.88.035123 ↗
20. 10.1103/PhysRevB.90.08510210.1103/PhysRevB.90.085102 ↗
21. 10.1016/j.cpc.2021.10826110.1016/j.cpc.2021.108261 ↗
22. 10.1103/RevModPhys.47.77310.1103/RevModPhys.47.773 ↗
23. 10.1103/RevModPhys.80.39510.1103/RevModPhys.80.395 ↗
24. 10.1103/PhysRevLett.83.13610.1103/PhysRevLett.83.136 ↗
25. 10.1103/PhysRevB.64.04510310.1103/PhysRevB.64.045103 ↗
26. 10.1103/PhysRevB.71.04512210.1103/PhysRevB.71.045122 ↗
27. 10.1103/PhysRevB.61.1279910.1103/PhysRevB.61.12799 ↗
28. 10.1103/PhysRevLett.124.01640110.1103/PhysRevLett.124.016401 ↗
29. 10.1103/PhysRevB.105.24513210.1103/PhysRevB.105.245132 ↗
30. 10.1103/PhysRevLett.69.286310.1103/PhysRevLett.69.2863 ↗
31. 10.1103/PhysRevB.48.1034510.1103/PhysRevB.48.10345 ↗
32. 10.1103/RevModPhys.77.25910.1103/RevModPhys.77.259 ↗
33. 10.1016/j.aop.2010.09.01210.1016/j.aop.2010.09.012 ↗
34. 10.1080/0001873060076643210.1080/00018730600766432 ↗
35. 10.1103/PhysRevLett.93.24640310.1103/PhysRevLett.93.246403 ↗
36. 10.1103/PhysRevB.69.04110210.1103/PhysRevB.69.041102 ↗
37. 10.1103/PhysRevB.81.12512610.1103/PhysRevB.81.125126 ↗
38. 10.1103/PhysRevB.90.04514410.1103/PhysRevB.90.045144 ↗
39. 10.1103/PhysRevB.92.15513210.1103/PhysRevB.92.155132 ↗
40. 10.1103/PhysRevB.90.23513110.1103/PhysRevB.90.235131 ↗
41. 10.1103/PhysRevB.90.11512410.1103/PhysRevB.90.115124 ↗
42. 10.1103/PhysRevX.5.04103210.1103/PhysRevX.5.041032 ↗
43. 10.1103/PhysRevX.7.03101310.1103/PhysRevX.7.031013 ↗
44. 10.1103/PhysRevB.101.04110110.1103/PhysRevB.101.041101 ↗
45. 10.1103/PhysRevB.104.11511910.1103/PhysRevB.104.115119 ↗
46. 10.1103/PhysRevLett.102.19060110.1103/PhysRevLett.102.190601 ↗
47. 10.1088/1367-2630/12/5/05502610.1088/1367-2630/12/5/055026 ↗
48. 10.1103/PhysRevB.95.19514810.1103/PhysRevB.95.195148 ↗
49. 10.1103/PhysRevB.72.22040110.1103/PhysRevB.72.220401 ↗
50. 10.1103/PhysRevLett.93.20720510.1103/PhysRevLett.93.207205 ↗
51. 10.1103/PhysRevLett.93.20720410.1103/PhysRevLett.93.207204 ↗
52. 10.1103/PhysRevB.98.23516310.1103/PhysRevB.98.235163 ↗
53. 10.1103/PhysRevB.101.19511910.1103/PhysRevB.101.195119 ↗
54. 10.1103/PhysRevB.105.19510710.1103/PhysRevB.105.195107 ↗
55. 10.1103/PhysRevB.97.11515610.1103/PhysRevB.97.115156 ↗
56. 10.1103/PhysRevLett.107.07060110.1103/PhysRevLett.107.070601 ↗
57. 10.1103/PhysRevB.94.16511610.1103/PhysRevB.94.165116 ↗
58. 10.21468/SciPostPhys.8.2.02410.21468/SciPostPhys.8.2.024 ↗
59. 10.1103/PhysRevB.102.09431510.1103/PhysRevB.102.094315 ↗
60. 10.21468/SciPostPhysCodeb.410.21468/SciPostPhysCodeb.4 ↗
61. 10.21468/SciPostPhysCodeb.4-r0.310.21468/SciPostPhysCodeb.4-r0.3 ↗
62. 10.1103/PhysRevB.105.23511510.1103/PhysRevB.105.235115 ↗
63. 10.1016/j.cpc.2015.10.02310.1016/j.cpc.2015.10.023 ↗
64. 10.1016/j.cpc.2015.04.02310.1016/j.cpc.2015.04.023 ↗
65. 10.1103/RevModPhys.75.65710.1103/RevModPhys.75.657 ↗
66. 10.1038/372532a010.1038/372532a0 ↗
67. 10.1038/s41535-017-0045-410.1038/s41535-017-0045-4 ↗
68. 10.1038/s41467-019-10257-210.1038/s41467-019-10257-2 ↗
69. 10.1103/PhysRevLett.106.09640110.1103/PhysRevLett.106.096401 ↗
70. 10.1103/PhysRevX.9.02104810.1103/PhysRevX.9.021048 ↗
71. 10.1103/PhysRevB.100.12512010.1103/PhysRevB.100.125120 ↗
72. 10.1103/PhysRevLett.120.12640110.1103/PhysRevLett.120.126401 ↗
73. 10.1103/PhysRevLett.101.02640610.1103/PhysRevLett.101.026406 ↗
74. 10.1063/1.514306110.1063/1.5143061 ↗
75. 10.1016/j.cpc.2014.05.00310.1016/j.cpc.2014.05.003 ↗
76. 10.1103/PhysRevLett.116.10640210.1103/PhysRevLett.116.106402 ↗
77. 10.1103/PhysRevLett.125.16640110.1103/PhysRevLett.125.166401 ↗
78. 10.1103/PhysRevLett.131.23650210.1103/PhysRevLett.131.236502 ↗
79. 10.1103/PhysRevX.11.03100710.1103/PhysRevX.11.031007 ↗
80. 10.1103/PhysRevX.11.04101310.1103/PhysRevX.11.041013 ↗
81. 10.1103/PhysRevB.107.20515010.1103/PhysRevB.107.205150 ↗
82. 10.1103/PhysRevX.8.03108210.1103/PhysRevX.8.031082 ↗
83. 10.1088/0953-8984/24/5/05320110.1088/0953-8984/24/5/053201 ↗
84. 10.1103/PhysRevB.81.23512510.1103/PhysRevB.81.235125 ↗
85. 10.1103/PhysRevB.101.03514310.1103/PhysRevB.101.035143 ↗
86. 10.1103/PhysRevLett.101.16640510.1103/PhysRevLett.101.166405 ↗
87. 10.1103/PhysRevB.79.11511910.1103/PhysRevB.79.115119 ↗