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HfO2

HfO2 is Fluorite structured and crystallizes in the cubic Fm-3m space group. Hf(1) is bonded in a body-centered cubic geometry to eight equivalent O(1) atoms. All Hf(1)–O(1) bond lengths are 2.18 Å. O(1) is bonded to four equivalent Hf(1) atoms to form a mixture of edge and corner-sharing OHf4 tetrahedra.

Highlights

Qubits
Depth
Baseline
3,0003.335×10^10
Phasecraft
3,120166,018
Applications
Capacitors
LEDs
Memory
Microelectronics
Transistors

Material info

Name
HfO2
Materials Project ID
mp-550893
Number of atoms
3
Spacegroup
Fm-3m

Density Functional Theory

Kohn-Sham electrons
32
Kohn-Sham electrons occupied
12
Pseudo family
ONCVPSP

Circuitry

Circuit depth
166,018
Number of interactions
521,344
Number of modes
3,000
Number of qubits
3,120
Number of two-qubit gates
18,745,496

Encoding

Number of groups
125
Modes per group
24
Translatable
4,504
Non-translatable
7,012
Tiled translatable
264,500
Tiled nontranslatable
256,844
System dimensions
[5, 5, 5]

Wannier Functions

Final spread
6.363×10^-1
Final variance
1.435×10^-1
Number of iterations
797
Number of Wannier functions
12
Spread difference
9.239×10^-8

Compilation

Algorithm
VQE
Detail
Splitting onsite/NN from NNN+ terms
Number of interactions
261,348
Number of nontranslatable terms
7,012
Number of translatable terms
4,504
Number of tiled translatable terms
264,500
Number of tiled nontranslatable terms
256,844

Hamiltonian

Baseline circuit depth
3.335×10^10
Baseline number of bands
12
Baseline number of qubits
3,000
Coulumb number of cluster sites
19
Coulomb neighbor order
1
Coulomb symmetry checks
true
Hop number of cluster sites
55
Interaction motif neighbor order
1
Number of Coulomb terms
9,376
Number of hopping terms
9,172
Number of Majorana terms
11,777
Number of Wannier tight binding
12
Tau Coulomb terms consistent
1.582×10^-1
Tau hop matrix consistent
2.955×10^-4
Threshold Coulomb terms
1.022×10^0
Threshold hop matrix
0.007484
Tolerance
0.5
Use interaction
1
Energy window
Distance method
MaxDist
Hop matrix neighbor order
4

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